What is the standard deviation of {1, 1, 1, 3, 3, 3}?

Quentin Johnson

Quentin Johnson

Answered

2022-01-19

What is the standard deviation of {1, 1, 1, 3, 3, 3}?

Answer & Explanation

Samantha Brown

Samantha Brown

Expert

2022-01-19Added 35 answers

Standard deviation (population): σpop=1
Explanation:
The mean is clearly 2
Each value deviates from the mean by ±1
So the square of each value's deviation from the mean is 1 and the average of the squared deviations (i.e. the variance, σpop2) is 1
Therefore the standard deviation (assuming the data represents the entire population) is σpop=1=1

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