Question

Calculate the standard deviation for the following data

Formula: s = √( (∑(X− ? ̅)^2) / (N−1) )

Data:

(X)	X-mean	(x - mean)2
80	6.7	44.89
75	1.7	2.89
77	3.7	13.69
62	-11.3	-127.69
58	-15.3	-234.09
81	7.7	59.29
66	-7.3	-53.29
75	1.7	2.89
88	14.7	216.09
71	-2.3	-5.29

Answer 1

Solution :-

n = 10

Σ X = 733

Σ (X- x bar )^2 = 760.1

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Sample Standard deviation is,

Sample Standard deviation ( s ) = ( Σ (X- x bar )^2 ) / ( n - 1 )

Sample Standard deviation ( s ) = ( 760.1) / (10 - 1 )

Sample Standard deviation ( s ) = 9.19