Standard deviation = square root of Σ(x-average)^2/N = 30
Σ(x-average)^2 = 7200
Putting the values in standard deviation formula where N= sample size.
30 = sqrt of Σ(x-average)^2 /N
Squaring off
900 = 7200/N
N=8
The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.
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