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Comparing and Interpreting Averages — Free MYP3 Mathematics Practice Questions
1QuestionAnalyzing Real-Life Data with AveragesConcept Practice
2 marks~3 minCriterion A
The frequency table below shows the number of books read by students in a class last month.
Calculate the mean number of books read per student. Show your working clearly. [2]
| Number of books | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| Number of students | 3 | 5 | 4 | 2 |
Calculate the mean number of books read per student. Show your working clearly. [2]
Solutions
2QuestionChoosing the Most Appropriate AverageAssessment Practice
2 marks~3 minCriterion D
A small business owner records daily sales (in dollars):
110, 120, 130, 135, 500
The owner must report a figure for typical daily sales to a bank for a loan application.
110, 120, 130, 135, 500
The owner must report a figure for typical daily sales to a bank for a loan application.
a
Calculate the mean and median of the sales data. [1]
b
Explain which average is more appropriate to report to the bank, and how using the other average could mislead the bank. [1]
Solutions
3QuestionAnalyzing Real-Life Data with AveragesConcept Practice
2 marks~3 minCriterion B
A student records their study time and test scores.
| Hours studied () | 2 | 4 | 6 | 8 |
|---|---|---|---|---|
| Test score () | 55 | 65 | 75 | 85 |
a
Describe the pattern relating hours studied to test score. [1]
b
Calculate the predicted test score if the student studies for 10 hours. [1]
Solutions
4QuestionChoosing the Most Appropriate AverageAssessment Practice
6 marks~9 minCriterion C
A small company has seven employees with the following annual salaries (thousands of dollars):
The owner quotes the mean salary in job advertisements. Employees argue the median is fairer.
| Employee | A | B | C | D | E | F | G |
|---|---|---|---|---|---|---|---|
| Salary | 30 | 32 | 35 | 38 | 40 | 42 | 120 |
The owner quotes the mean salary in job advertisements. Employees argue the median is fairer.
a
Calculate the mean and median salary. [2]
b
Explain why the median is more appropriate than the mean for representing a typical employee's salary. [2]
c
Analyse one limitation of using a single average to describe the salary distribution in this company. [2]
Solutions
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