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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]
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:
3,5,5,5,7,8,12,15,15,15,15,15,42,45
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]
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:
4,5,6,7,28
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]
Solutions
4QuestionCalculating the Range and Interpreting ItConcept Practice
2 marks~3 minCriterion B
Three data sets follow a pattern:
Set A: 2,5 Set B: 2,5,8 Set C: 2,5,8,11
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: 2,5,8,11,14. [1]