Two data sets, A and B

MATHEMATICS · Single correct · A Level · Mathematics · Data presentation and interpretation · Data presentation and interpretation

Problem

Two data sets, A and B, each contain 1515 observations and have the same total ∑x=180\sum x=180. Set A has ∑x2=2280\sum x^{2}=2280 and set B has ∑x2=2500\sum x^{2}=2500. Which set has the larger population standard deviation? (a) Both sets have the same standard deviation (b) Only set A (c) Only set B (d) The information is insufficient to decide

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