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O lvl E Maths: Data Analysis -- Standard Deviation

A factory produces Krispy chocolate bars. Ten bars from the factory were randomly selected and weighed, and the mass of each bar, measured to the nearest grams, is given below.

25, 23, 24, 26, 24, 24, 27, 22, 25, 26

Find the mean and standard deviation for the mass of the chocolate bars selected from the factory.

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Answer:

mean = ∑x / n
= (25 + 23 + 24 + 26 + 24 + 24 + 27 + 22 + 25 + 26) / 10
= 24.6

The mean chocolate bars produced is 24.6 g.


∑x² = 25² + 23² + 24² + 26² + 24² + 24² + 27² + 22² + 25² + 26²
= 6072

Standard deviation

= 1.43 g



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