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7.04 Standard deviation

Interactive practice questions

Find the population standard deviation of the following set of scores, to two decimal places, by using the statistics mode on the calculator:

$8,20,9,9,8,19,9,18,5,10$8,20,9,9,8,19,9,18,5,10

Easy
1min

Find the population standard deviation of the following set of scores correct to two decimal places by using the statistics mode on the calculator:

$-17,2,-6,9,-17,-9,3,8,5$17,2,6,9,17,9,3,8,5

Easy
1min

Given the following data arranged in the stem and leaf plot:

Hard
2min

The mean income of people in Country A is $\$19069$$19069. This is the same as the mean income of people in Country B. The standard deviation of Country A is greater than the standard deviation of Country B. In which country is there likely to be the greatest difference between the incomes of the rich and poor?

Easy
< 1min
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Outcomes

2.1.5

determine the mean and standard deviation of a data set using technology and use these statistics as measures of location and spread of a data distribution, being aware of their limitations

2.1.6

use the number of deviations from the mean (standard scores) to describe deviations from the mean in normally distributed data sets

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