Randomly survey 30 classmates about the number of pairs of shoes they own. Recor

Question

Randomly survey 30 classmates about the number of pairs of shoes they own.

Record their values. I recorded these numbers.

__2___ __12___ __9___ ___26__ __6___

__11___ __5___ __5___ ___16__ __7__

___27__ ___22__ __5___ ___7__ ___20__

___15__ ___9__ ___20__ ___12__ __2___

__30___ __6___ ___13__ ___5__ __6___

___10__ ___4__ ___23__ ___30__ ___18__

In order:

2 2 4 5 5 5 5 6 6 6 7 7 9 9 10 11 12 12 13 15 16 18 20 20 22 23 26 27 30

s = 8.5

1. How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers?

Explanation / Answer

Here, standard deviation of given data is ,

s=8.5 which represents on an average , how much each value is deviated from it's mean .

& if values lies outside the interval (mean-3*standard deviation ,mean+3*standard deviation ) then they are considered as outliers.

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