Compute Standard Deviation of the data 19, 23, 16, 07, 18, 35, 14, 24
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As we know we are given so we can easily find
∑x = 19+23+16+07+18+35+14+24 = 156
n = 8
so here ∑x^2 =
19^2+23^2+16^2+7^2+18^2+35^2+14^2+24^2 =3516
as we know about the Variance = (∑x^2 - ( ∑ x)^2 / n ) /
(n-1)
putting the values in the formula so Variance = (3516 -
(156)^2 / 8) / 7
Variance = 474/7
Variance = 67.7143
we can find Standard deviation with this formula Standard deviation = sqrt (variance)
putting the values of variance in it .Standard deviation =
sqrt (67.7143)
so Standard deviation will be = 8.2289
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Answer:
Compute Standard Deviation of the data 19, 23, 16. 07 18. 35. 14. 24
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