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Working with Grouped Data — Free MYP1 Mathematics Practice Questions
1QuestionGrouping Data into Class IntervalsConcept Practice
2 marks~3 minCriterion C
A school librarian tracks the number of books borrowed by students each week, with recorded values such as 3, 4, 7, 12, 15, and 18.
1
Explain one reason why the librarian might choose to group this data into class intervals, such as 0-4, 5-9, 10-14, and 15-19.
2
Discuss one limitation of using this method to group the data.
Solutions
2QuestionFinding the Modal ClassConcept Practice
2 marks~3 minCriterion D
A shop owner records how many customers visit each hour. The modal class is 30–39 customers per hour.
a
Identify one way the shop owner could use this information to plan their day. [1]
b
Describe one reason why grouped data does not show the exact busiest hour. [1]
Solutions
3QuestionEstimating Mean from Grouped DataConcept Practice
2 marks~3 minCriterion A
A gardener measures the heights of 20 plants. The results are shown below.
Calculate the midpoint of the class interval 10–15 cm. [2]
| Height (cm) | 0–5 | 5–10 | 10–15 | 15–20 |
|---|---|---|---|---|
| Frequency | 2 | 8 | 6 | 4 |
Calculate the midpoint of the class interval 10–15 cm. [2]
Solutions
4QuestionCalculating Midpoints for IntervalsConcept Practice
4 marks~6 minCriterion B
A community event records the ages of 75 visitors in a grouped frequency table.
| Age interval (years) | 0–4 | 5–9 | 10–14 |
|---|---|---|---|
| Frequency | 12 | 18 | 22 |
a
State the midpoint formula used to find the middle value of an age interval. [1]
b
Calculate the midpoint of the age interval 5–9. [1]
c
The interval 0–4 has a midpoint of 2 and the interval 10–14 has a midpoint of 12. Describe what you notice about how the midpoints change across the three intervals. [2]
Solutions
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