Two batches, P and Q

MATHEMATICS · Single correct · CBSE · Mathematics · Statistics · Statistics

Problem

Two batches, P and Q, each contain 55 observations. For batch P, ∑x=100\sum x = 100 and ∑x2=2100\sum x^{2} = 2100. For batch Q, ∑x=110\sum x = 110 and ∑x2=2500\sum x^{2} = 2500. Which batch shows greater spread as measured by standard deviation? (a) Both batches have the same spread (b) Batch P (c) Batch Q (d) Spread cannot be compared with the given information

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