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11.04 Standard deviation

Interactive practice questions

A higher distribution means that the scores are more spread out from the mean.

Consider the following graphs.

a

Select the graph with the highest standard deviation.

A

B

C

D
b

Select the graph with the lowest standard deviation.

A

B

C

D
Easy
< 1min

Find the standard deviation of the following set of scores by using the statistics mode on a calculator:

$81,90,90,88,73,80,86,87,75,82,70,81,71,81,79,81,80,86,88,79$81,90,90,88,73,80,86,87,75,82,70,81,71,81,79,81,80,86,88,79

Easy
2min

Find the standard deviation of the following set of scores by using the statistics mode on a calculator:

$20,44,27,25,21,28,41,24,27,39,35,43,30,17,40$20,44,27,25,21,28,41,24,27,39,35,43,30,17,40

Easy
1min

Use technology to determine the standard deviation for the data represented by the frequency table.

Medium
1min
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Outcomes

VCMSP372 (10a)

Calculate and interpret the mean and standard deviation of data and use these to compare data sets. Investigate the effect of individual data values including outliers, on the standard deviation

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