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December 10th, 2016, 07:41 AM   #1
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Is it normal if deviation is greater than variance?

Here is my problem, a sample of 7.55, 6.13, 5.44, 7.19, 6.33

My answer is mean = 6.528
sample variance = 0.716
and deviation = 0.846

but i was told that variance is always greater than deviation, so i am confused now.
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December 10th, 2016, 10:00 AM   #2
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variance is the square of deviation

$\sigma < 1 \Rightarrow \sigma > \sigma^2$

$\sigma > 1 \Rightarrow \sigma^2 > \sigma$
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