Chapter 42: Qualitative and Quantitative Data
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Qualitative and Quantitative Data in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
42.1 Meaning of data
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [12, 11, 9, 2, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 2
Problem: A data set is [13, 2, 15, 14, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 3
Problem: A data set is [2, 7, 10, 11, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 4
Problem: A data set is [2, 2, 14, 4, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 5
Problem: A data set is [8, 11, 4, 15, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 6
Problem: A data set is [9, 15, 7, 6, 14]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 7
Problem: A data set is [10, 10, 7, 7, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Worked Example 8
Problem: A data set is [7, 10, 15, 15, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 9
Problem: A data set is [2, 2, 4, 11, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 10
Problem: A data set is [7, 11, 7, 9, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Practice Exercise
Create and solve one new example of Meaning of data. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.2 Qualitative data
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [6, 9, 8, 7, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 9
Worked Example 2
Problem: A data set is [14, 10, 4, 13, 10]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 3
Problem: A data set is [4, 14, 11, 9, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 4
Problem: A data set is [12, 7, 6, 9, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 5
Problem: A data set is [7, 5, 8, 10, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Worked Example 6
Problem: A data set is [4, 14, 10, 8, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 7
Problem: A data set is [7, 10, 3, 7, 14]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 8
Problem: A data set is [5, 7, 2, 5, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 7
Worked Example 9
Problem: A data set is [10, 6, 7, 11, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 10
Problem: A data set is [5, 11, 8, 3, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Practice Exercise
Create and solve one new example of Qualitative data. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.3 Quantitative data
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [10, 15, 15, 15, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 2
Problem: A data set is [11, 15, 11, 14, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 3
Problem: A data set is [13, 14, 3, 15, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 4
Problem: A data set is [2, 14, 10, 11, 3]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 5
Problem: A data set is [15, 10, 10, 4, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 6
Problem: A data set is [2, 15, 9, 4, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 7
Problem: A data set is [8, 14, 2, 11, 3]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 8
Problem: A data set is [5, 13, 2, 4, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 9
Problem: A data set is [12, 7, 14, 13, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 10
Problem: A data set is [5, 8, 6, 2, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 8
Practice Exercise
Create and solve one new example of Quantitative data. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.4 Examples of qualitative data
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [13, 9, 8, 11, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 2
Problem: A data set is [7, 13, 14, 8, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 3
Problem: A data set is [13, 15, 4, 12, 7]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 4
Problem: A data set is [5, 14, 12, 15, 10]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 5
Problem: A data set is [13, 14, 6, 7, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 6
Problem: A data set is [14, 14, 12, 12, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 7
Problem: A data set is [12, 5, 3, 3, 15]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 8
Problem: A data set is [7, 3, 8, 10, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Worked Example 9
Problem: A data set is [14, 3, 11, 7, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 10
Problem: A data set is [4, 12, 13, 13, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Practice Exercise
Create and solve one new example of Examples of qualitative data. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.5 Examples of quantitative data
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [4, 3, 6, 9, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 9
Worked Example 2
Problem: A data set is [2, 13, 8, 13, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 3
Problem: A data set is [2, 6, 8, 10, 12]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 4
Problem: A data set is [5, 5, 10, 14, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 5
Problem: A data set is [15, 3, 15, 5, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 6
Problem: A data set is [2, 7, 13, 6, 15]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 7
Problem: A data set is [10, 12, 14, 7, 3]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 8
Problem: A data set is [10, 13, 2, 12, 15]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 9
Problem: A data set is [15, 15, 6, 6, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 10
Problem: A data set is [4, 9, 10, 2, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Practice Exercise
Create and solve one new example of Examples of quantitative data. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.6 Choosing the right data type
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [5, 4, 6, 10, 7]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Worked Example 2
Problem: A data set is [14, 13, 8, 13, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 3
Problem: A data set is [7, 6, 13, 12, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 4
Problem: A data set is [8, 14, 15, 14, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 5
Problem: A data set is [4, 6, 9, 3, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 9
Worked Example 6
Problem: A data set is [13, 7, 11, 3, 3]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 7
Problem: A data set is [9, 8, 11, 12, 12]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 8
Problem: A data set is [9, 5, 9, 6, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 9
Problem: A data set is [8, 4, 15, 8, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 10
Problem: A data set is [7, 12, 2, 8, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Practice Exercise
Create and solve one new example of Choosing the right data type. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.7 Writing a question for qualitative data
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [4, 10, 10, 13, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 2
Problem: A data set is [7, 3, 14, 11, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 3
Problem: A data set is [7, 14, 15, 3, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 4
Problem: A data set is [3, 11, 10, 5, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 5
Problem: A data set is [9, 3, 15, 4, 12]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 6
Problem: A data set is [10, 7, 3, 2, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 7
Problem: A data set is [10, 15, 14, 10, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 8
Problem: A data set is [5, 3, 12, 5, 14]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 9
Problem: A data set is [6, 10, 10, 10, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Worked Example 10
Problem: A data set is [7, 15, 9, 11, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Practice Exercise
Create and solve one new example of Writing a question for qualitative data. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.8 Writing a question for quantitative data
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [13, 6, 12, 14, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 2
Problem: A data set is [10, 12, 7, 14, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 3
Problem: A data set is [6, 12, 7, 10, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 4
Problem: A data set is [13, 13, 12, 15, 7]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 5
Problem: A data set is [7, 3, 2, 4, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 7
Worked Example 6
Problem: A data set is [15, 11, 6, 8, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 7
Problem: A data set is [12, 3, 3, 6, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 8
Problem: A data set is [5, 3, 9, 2, 12]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 9
Problem: A data set is [15, 15, 5, 4, 9]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 10
Problem: A data set is [14, 9, 13, 14, 7]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Practice Exercise
Create and solve one new example of Writing a question for quantitative data. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.9 Comparing data types
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [11, 12, 13, 7, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 2
Problem: A data set is [12, 13, 5, 15, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 3
Problem: A data set is [15, 14, 4, 10, 14]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 4
Problem: A data set is [13, 13, 3, 11, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 5
Problem: A data set is [15, 3, 13, 11, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 6
Problem: A data set is [9, 13, 13, 8, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 7
Problem: A data set is [11, 6, 3, 10, 12]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 12
Worked Example 8
Problem: A data set is [11, 14, 10, 8, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 9
Problem: A data set is [14, 4, 9, 14, 10]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 10
Problem: A data set is [6, 8, 15, 4, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Practice Exercise
Create and solve one new example of Comparing data types. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.10 Data in everyday decisions
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [7, 6, 2, 14, 14]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 2
Problem: A data set is [15, 3, 14, 9, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 3
Problem: A data set is [15, 5, 3, 5, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 4
Problem: A data set is [6, 15, 9, 10, 8]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 5
Problem: A data set is [11, 6, 9, 8, 2]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 11
Worked Example 6
Problem: A data set is [5, 15, 12, 3, 10]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 7
Problem: A data set is [14, 3, 7, 11, 10]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 8
Problem: A data set is [2, 5, 9, 6, 15]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 9
Problem: A data set is [15, 4, 9, 14, 4]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 10
Problem: A data set is [8, 5, 8, 5, 10]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 10
Practice Exercise
Create and solve one new example of Data in everyday decisions. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.11 Organizing categories
Organizing categories is an important Grade 4 mathematics idea in Qualitative and Quantitative Data. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 17 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 2
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 6 and 8.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 3
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 8 and 9.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 4
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 16 and 4.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 5
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 14 and 3.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 6
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 5 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 7
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 15 and 18.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 8
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 4 and 12.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 9
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 20 and 16.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Worked Example 10
Problem: Create a simple Grade 4 example about Organizing categories using the numbers 18 and 7.
- Identify what the topic means.
- Use the numbers in a way that follows the rule.
- Check that the result or representation makes sense.
Very beginner explanation: Meaning comes first; the numbers should illustrate the concept clearly.
Answer: A correct example that demonstrates Organizing categories.
Practice Exercise
Create and solve one new example of Organizing categories. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
42.12 Checking whether data answer the question
Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: A data set is [8, 11, 15, 9, 3]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 2
Problem: A data set is [15, 2, 4, 6, 7]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 3
Problem: A data set is [9, 9, 13, 12, 12]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 4
Problem: A data set is [8, 3, 9, 12, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 5
Problem: A data set is [14, 15, 8, 5, 6]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 6
Problem: A data set is [11, 8, 15, 7, 11]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 7
Problem: A data set is [3, 11, 14, 15, 3]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Worked Example 8
Problem: A data set is [5, 12, 3, 14, 5]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 14
Worked Example 9
Problem: A data set is [6, 7, 6, 12, 13]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 13
Worked Example 10
Problem: A data set is [8, 3, 2, 8, 15]. What is the greatest value?
- Read all the values.
- Choose the largest number.
Very beginner explanation: Data questions should be answered from the recorded values or display.
Answer: 15
Practice Exercise
Create and solve one new example of Checking whether data answer the question. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
30 Review Questions and Answers
Q1. What is important to understand about Meaning of data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q2. What is important to understand about Qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q3. What is important to understand about Quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q4. What is important to understand about Examples of qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q5. What is important to understand about Examples of quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q6. What is important to understand about Choosing the right data type?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q7. What is important to understand about Writing a question for qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q8. What is important to understand about Writing a question for quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q9. What is important to understand about Comparing data types?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q10. What is important to understand about Data in everyday decisions?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q11. What is important to understand about Organizing categories?
Answer: Organizing categories is an important Grade 4 mathematics idea in Qualitative and Quantitative Data. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q12. What is important to understand about Checking whether data answer the question?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q13. How would you explain Meaning of data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q14. How would you explain Qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q15. How would you explain Quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q16. How would you explain Examples of qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q17. How would you explain Examples of quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q18. How would you explain Choosing the right data type?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q19. How would you explain Writing a question for qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q20. How would you explain Writing a question for quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q21. How would you explain Comparing data types?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q22. How would you explain Data in everyday decisions?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q23. How would you explain Organizing categories?
Answer: Organizing categories is an important Grade 4 mathematics idea in Qualitative and Quantitative Data. Understand the meaning first, then use a clear representation or strategy and check whether the answer makes sense.
Q24. How would you explain Checking whether data answer the question?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q25. What should a beginner check when working with Meaning of data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q26. What should a beginner check when working with Qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q27. What should a beginner check when working with Quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q28. What should a beginner check when working with Examples of qualitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q29. What should a beginner check when working with Examples of quantitative data?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.
Q30. What should a beginner check when working with Choosing the right data type?
Answer: Data are collected to answer questions. Organize them clearly, choose a suitable display, and explain what the evidence shows.