What is the standard deviation of {11, 23, 3, 1,

feminizmiki

feminizmiki

Answered question

2022-01-18

What is the standard deviation of {11, 23, 3, 1, 500, 27, 18, 14, 2}?

Answer & Explanation

Jacob Homer

Jacob Homer

Beginner2022-01-18Added 41 answers

σ=251,913927990.330.1826 to 4dp
Explanation:
The 500 is spurious data (Does not look like it is meant to be part of the data set). This will drastically effect the mean value. The standard deviation equations (There is a set of them) are derived from
s=1n1i=1n(xix)2 (the varience) where n is the count of the whole sample. In your case n=9 and
x=11+23+3+1+500+27+18+14+2966.56 to 2 decimal places (2 dp).
They will be expecting you to include the 500. By the way, if you are testing the whole population you use 1n and not 1n1
Using σ=s=(xi2)9(x)2
σ=251,913927990.330.1826 to 4 dp

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