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Year 11 (2025) Maths Standard (2025) Exploring and Describing Data

Comparing Distributions

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Question 1
123147

Find the standard deviation for each of the data sets

A: \(4,5,5,7,8,9 \)

B: \(4,5,5,7,8,20\)

In comparing the standard deviations what effect does the outlier in data set \(B\) have on the standard deviation?

A.
A: SD = 2.00, B: SD = 5.98; the outlier increases the standard deviation
Correct
B.
A: SD = 2.00, B: SD = 2.00; the outlier has no effect
C.
A: SD = 5.98, B: SD = 2.00; the outlier decreases the standard deviation
D.
A: SD = 2.00, B: SD = 3.50; the outlier slightly increases the standard deviation

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