For each of the following data sets, decide which has the higher standard deviation (set 1 or set 2), if any, without doing any computation. Explain the rationale behind your choice. Then, verify your choice by computing the standard deviation by hand.

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Set 1 (a) 4, 6, 7, 8, 10 (b) 4, 8, 9, 10, 15 (c) 3, 6, 8, 10, 12, 15 Set 2 4,7,7,7,10 40, 80, 90, 100, 150 93, 96, 98, 100, 102, 105