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9 August, 17:22

Here are the shopping times (in minutes) for a sample of 6 shoppers at a particular grocery store. 35,34,26,27,33,31 Find the standard deviation of this sample of shopping times. Round your answer to two decimal places.

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  1. 9 August, 17:48
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    3.42

    Step-by-step explanation:

    calculate the mean

    (35+34+26+27+33+31) / 6 = 186/6 = 31

    35-31 = 4 4² = 16

    34-31 = 3 3² = 9

    26-31 = - 5 (-5) ² = 25

    27-31 = - 4 (-4) ² = 16

    33-31 = 2 2² = 4

    31-31 = 0 0² = 0

    Total: 16+9+25+16+4+0 = 70

    standard deviation = √ (70/6) = √11.66 = 3.4156 ≅ 3.42
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