Question

Which of the following must also be known in order to compute the standard deviation?A) ModeB) MeanC) RangeD) Median

Answer 1

B) Mean

Explanation:

Standard Deviation is the measure of the amount of variation or dispersion of a set of values. Standard Deviation is represented by lower case Greek alphabet sigma σ. Standard Deviation is the square root of variance. Variance is the average of the squared differences or variation or dispersion from the Mean. Therefore, to compute standard deviation, the mean of the given data must be known.

Standard Deviation, σ =
`√(Variance)`

σ =
`\sqrt({(1)/(N-1)}` ∑
`_(i = 1)^(N)(x_(i) - X)^(2))`

where

`x_(1),x_(2),x_(3), ...x_(N),` are the values of the sample observed,

X is the mean value of these observations, and

N is the number of observations in the sample.