Data Handling and Representation — Free IB MYP1 Mathematics Questions

1QuestionCreating Frequency Tables from Raw DataConcept Practice

2 marks~3 minCriterion A

A class recorded the favourite colours of 20 students as raw data.

a

State one thing a frequency table does to raw data. [1]

b

Describe how a frequency table helps you read the data more easily. [1]

Solutions

2QuestionCreating Frequency Tables from Raw DataConcept Practice

2 marks~3 minCriterion A

A class of 12 students was asked how many pets they own. The tally chart shows their answers.

Number of Pets:

0, \ 1, \ 2, \ 3

Number of Students:

4, \ 2, \ 3, \ 1

List the number of pets and the frequency for each value to complete the frequency table below. [2]

Number of Pets	___	___	___	___
Frequency	___	___	___	___

Solutions

3QuestionConverting Frequency into Angles for Pie ChartsConcept Practice

2 marks~3 minCriterion A

A class of 30 students chose their favourite colour.

Red: 5 students
Blue: 15 students
Green: 10 students

Calculate the angle for the blue sector in a pie chart. Show your working. [2]

Solutions

4QuestionConstructing Pie Charts with a ProtractorConcept Practice

3 marks~5 minCriterion A

A class of 40 students chose their favourite sport. The pie chart shows the results.

Football:

144°

— Basketball:

108°

— Swimming:

72°

— Tennis:

36°

a

Identify the most popular sport and the least popular sport. [1]

b

Calculate the number of students who chose football. [1]

c

Calculate the number of students who chose tennis, then calculate the difference between the number of students who chose football and the number who chose tennis. [1]

Solutions

5QuestionStem-and-LeafConcept Practice

2 marks~3 minCriterion B

A teacher recorded the test scores of a class in the stem-and-leaf diagram below.

Stem	Leaf
1	2 5 8
2	1 4 7
3	0 3 6

Key: 1 | 2 means a score of 12.

a

Identify the pattern in the scores. [1]

b

List the next two scores that follow the pattern. [1]

Solutions

6QuestionStem-and-LeafConcept Practice

4 marks~6 minCriterion A

The diagram shows a stem-and-leaf diagram of the lengths, in centimetres, of leaves collected by students. Study the diagram.

a

Label the parts of the diagram by identifying which column shows the tens digit. [1 mark]

b

State the data value represented by the entry stem 1, leaf 8. [1 mark]

c

Give an example of a data value that would be recorded on stem 2 and explain where its leaf would be placed. [2 marks]

Solutions

7QuestionPlotting Dot Plots from Small Data SetsConcept Practice

4 marks~6 minCriterion D

Ten students' shoe sizes are listed below.

5, 6, 6, 7, 7, 7, 8, 8, 9, 10

a

Label the number line and plot the dot plot for this data. [2]

b

Identify the most common shoe size shown in your dot plot. [1]

c

Describe one reason why this dot plot may not be a good way to predict the most common shoe size for the whole school. [1]

Solutions

8QuestionChoosing Appropriate Data Collection MethodsConcept Practice

2 marks~3 minCriterion D

A school gardener wants to collect two types of data:
- which flower colour students prefer for the garden
- the exact height of 10 sunflower plants

a

Name a suitable method to collect each type of data. [1]

b

Describe why each method you named is appropriate for that type of data. [1]

Solutions

9QuestionChoosing Appropriate Data Collection MethodsConcept Practice

2 marks~3 minCriterion A

A class voted for their favourite ice cream flavour. The results are shown below.

Favourite Ice Cream Flavour

Flavour	Chocolate	Vanilla	Strawberry
Number of students	$5$	$3$	$4$

a

Identify whether this data is discrete or continuous. [1]

b

Describe one reason why you chose that type. [1]

Solutions

10QuestionCreating Frequency Tables from Raw DataAssessment Practice

4 marks~6 minCriterion C

A class recorded these 12 test scores:

8, 14, 23, 27, 31, 35, 42, 46, 48, 51, 53, 59

The scores are grouped into three class intervals: 1–20, 21–40, 41–60.

a

Identify which class interval contains the most scores. [1]

b

Describe what the frequency column in a grouped frequency table tells you. [1]

c

A student says the intervals 1–20 and 21–40 together are more useful than 41–60 because they cover more scores. Do you agree? Compare the two groups and give a reason. [2]

Solutions

11QuestionReading and Interpreting Frequency DataAssessment Practice

5 marks~8 minCriterion B

The frequency table below shows the number of books read by students in a class.

Books read	0	1	2	3	4
Tally	\|\|\|	\|\|\|\|	\|\|\|\| \|\|\|	?	?
Frequency	3	4	7	?	?

The number of tallies goes up by odd numbers:

+1, +3, +5, \ldots

a

State the missing frequency for 3 books read. [1]

b

State the missing frequency for 4 books read. [1]

c

Calculate the total number of students in the class. Show your working. [3]

Solutions

12QuestionConverting Frequency into Angles for Pie ChartsAssessment Practice

5 marks~8 minCriterion B

A class voted for their favourite school lunch. The results are shown below.

Lunch	Pizza	Pasta	Salad	Soup
Number of votes	1	2	3	4 (total = 10 votes)

Use the formula:

\text{angle} = \dfrac{\text{frequency}}{\text{total}} \times 360°

a

Calculate the pie chart angle for Pizza (1 vote). [1]

b

The angles for all four lunches are 36°, 72°, 108°, and 144°. Describe what you notice about the difference between each angle. [2]

c

A second class has votes of 3, 4, 5, 6 (total = 18). Compare how the angle differences in this class are the same as, or different from, the first class. [2]

Solutions

13QuestionConstructing Pie Charts with a ProtractorAssessment Practice

6 marks~9 minCriterion C

A class of 40 students chose their favourite fruit. The results are:

Apple: 12 students
Banana: 10 students
Orange: 8 students
Grape: 6 students

a

Calculate the sector angle for Apple in the pie chart. Show your working. [1]

b

Describe how to use a protractor to draw the Apple sector on a pie chart. [2]

c

A student says: "This pie chart shows what every student in the school likes best." Give two reasons why you agree or disagree with this statement. [3]

Solutions

14QuestionPlotting Dot Plots from Small Data SetsAssessment Practice

7 marks~11 minCriterion C

Eight students recorded their screen time (in minutes) for one day:

25, 30, 30, 45, 50, 50, 50, 60

a

Label the dot plot below by writing the correct number of dots above each value. [2]

b

Describe what the dot plot shows about which screen time value appears most often. [2]

c

Identify one way a dot plot is different from a table for showing this data, and describe how that difference could make it harder for a parent to understand the results. [3]

Solutions

15QuestionChoosing Appropriate Data Collection MethodsAssessment Practice

6 marks~9 minCriterion D

A teacher wants to find out how many hours per week Year 7 students spend on homework. She decides to ask only the students in the top maths class.

a

Identify one reason why asking only the top maths class may not give a fair result for all Year 7 students. [1]

b

Describe a better way to choose which Year 7 students to ask. [2]

c

A student says she spends 10 hours a week on homework, but her actual time is 2 hours. Describe how dishonest answers like this affect the survey results, and give one reason why a student might give a dishonest answer. [3]

Solutions

16QuestionIdentifying Data Types in Real-Life ExamplesAssessment Practice

6 marks~9 minCriterion C

A class survey asks: "How many siblings do you have?"

Ten students replied: 2, 1, "a few", 0, 3, "many", 2, 1, 4, "some".

a

Identify whether the number of siblings is discrete or continuous data. [1]

b

Describe why this set of responses is not a valid discrete data set. [2]

c

State one way to change the survey so that only valid discrete data is collected, and describe how this change helps. [3]

Solutions

Data Handling and Representation — Free MYP1 Mathematics Practice Questions