A sample of 25 observations has a standard deviation of

Octavio Miller

Octavio Miller

Answered question

2022-01-27

A sample of 25 observations has a standard deviation of 4. The sum of the squared deviations from the sample mean is 384. Why is it 384?

Answer & Explanation

ataill0k

ataill0k

Beginner2022-01-28Added 18 answers

The definition of sample variance
S2=[1n1][(xi)x]2
(n1)S2=[(xi)x]2
The sum on the right is the sum of the squared deviations from the sample mean x.
S=4, so S2=16 where n=25, so n-1=24
Therefore, the sum is 24*16=384

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