Classifying Data, Averages and Range — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)Find the mean of the data set: 4, 7, 7, 8, 9, 10, 12.

Question 2

[2](a)Find the median and the mode of the same data set.

Question 3

[1](a)Find the range of the same data set.

Question 4

[2](a)Find the mean of 12, 15, 15, 18, 20, 22, 25, 30.

Question 5

[2](a)Find the median of the same data set.

Question 6

[2](a)Find the mode and range of the same data set.

Question 7

[2](a)Explain one advantage of using the median rather than the mean when a data set contains an extreme outlier.

Question 8

[2](a)Find the mean of the data set: 3, 3, 4, 5, 5, 5, 7, 9.

Question 9

[2](a)Explain why the mode is not always a useful average, giving an example of when it fails to represent a data set well.

Question 10

[2](a)A data set has mean 20 and one new value of 50 is added. State, without calculating, whether the new mean will be higher or lower than 20, and why.

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