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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 population standard deviation of each dataset, correct to 2 decimal places.

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

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

What effect does the outlier in dataset \(B\) have on the standard deviation?

A: \(\sigma=1.80\) B: \(\sigma=5.46\). The outlier \(20\) greatly increases the standard deviation.

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