Calculating Mean Median Mode and Range
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Calculating Mean Median Mode and Range — Free MYP2 Mathematics Practice Questions

1QuestionCalculating the Range and Interpreting ItConcept Practice
2 marks~3 minCriterion A
Five line segments have the following lengths in centimetres:

Lengths (cm): 2, 3, 5, 7, 9
a
Calculate the range of these lengths. [1]
b
Explain what the range tells you about the variation in the lengths of these line segments. [1]
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Solutions

2QuestionDetermining the Mode in a Data SetAssessment Practice
4 marks~6 minCriterion D
A shop owner records the number of customers per day over two weeks:

3, 5, 5, 5, 7, 8, 12, 15, 15, 15, 15, 15, 42, 453, \ 5, \ 5, \ 5, \ 7, \ 8, \ 12, \ 15, \ 15, \ 15, \ 15, \ 15, \ 42, \ 45
a
State the mode of this data set. [1]
b
Identify two values in the data set that are outliers (values far outside the typical range) and explain why they make the mode less reliable. [2]
c
Compare the mode with one other measure of central tendency to explain whether the owner should use the mode alone to plan staffing. [1]
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Solutions

3QuestionFinding the Mean of a Data SetConcept Practice
4 marks~6 minCriterion C
A teacher records the number of books read by 5 students in one month:

4,5,6,7,284, \quad 5, \quad 6, \quad 7, \quad 28
a
Calculate the mean number of books read. [2]
b
The value 28 is an outlier (a value much larger or smaller than the rest). Explain whether the mean is a good representation of the typical number of books read, and identify one alternative measure that would better represent the group. [2]
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Solutions

4QuestionCalculating the Range and Interpreting ItConcept Practice
2 marks~3 minCriterion B
Three data sets follow a pattern:

Set A: 2,52, 5
Set B: 2,5,82, 5, 8
Set C: 2,5,8,112, 5, 8, 11
a
Calculate the range of each data set. [1]
b
Describe the pattern in the ranges as each new term is added, and predict the range of Set D: 2,5,8,11,142, 5, 8, 11, 14. [1]

Solutions

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