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Question

The standard deviation of 9,16,23,30,37,44,51 is


A

7

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B

9

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C

12

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D

14

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E

16

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Solution

The correct option is D

14


Explanation for the correct option

Mean=9+16+23+30+37+44+517

=2107=30

Standard deviation=(xi-μ)27

=9-302+16-302+23-302+30-302+37-302+44-302+51-3027=-212+-142+-72+02+72+142+2127=441+196+49+49+196+4417=13727=196=14

Hence the correct option is option(d) i.e. 14


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