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The formula for the standard deviation of a sample (s) is given by:

s =√(⅟₍n₌₁₎Σ(y-ȳ)²)

where y are the data points and ȳ is their mean; it can be rearranged to give:

s = √(⅟₍n₌₁₎(Σy² - n((Σy)/n)²)

→ s = √(⅟₍₅₌₁₎(1815 - 5(⁹⁵/₅)²)

→ s = √(¼ × 10)

→ s = √2.5

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Q: What is the standard deviation of the sample 17 18 19 20 21?
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