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AP Statistics/Unit 1: Exploring One-Variable Data
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Standard Deviation with an Added Data Point

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A dataset of n=25n = 25 observations has a sum of squared deviations from the mean, ∑(xi−xˉ)2\sum(x_i - \bar{x})^2, equal to 240. If an additional observation with a value equal to the original mean is added to the dataset, what is the new standard deviation?

A

2.9

B

9.6

C

3.04

D

3.10

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