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Stage 5.1-3

15.10 Comparisons using standard deviation

Interactive practice questions

The mean income of people in Canada is $\$43000$$43000. This is the same as the mean income of people in Germany. The standard deviation of Canada is greater than the standard deviation of Germany. In which country is there likely to be the greatest difference between the incomes of the rich and poor?

Canada

A

Germany

B
Easy
< 1min

Two cricketers compare the mean and standard deviation of their runs made per match.

They conclude that Ivan is a more consistent batter but Bianca generally scores more runs per match.

Easy
< 1min

Two companies record the wait time for calls to their customer hotlines over $10$10 calls. The recorded values are given below in minutes.

Medium
3min

The life of two brands of batteries are tested using a sample of $10$10 batteries from each brand. Their battery lives (in hours) are shown below.

Medium
5min
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Outcomes

MA5.2-10NA

connects algebraic and graphical representations of simple non-linear relationships

MA5.3-18SP

uses standard deviation to analyse data

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