Statistical Analysis of Ungrouped Numerical Observations

Statistical Analysis of Ungrouped Numerical Observations

Secondary 4

\(\mathrm{Mean} = \frac{\sum f x}{\sum f}\)

\(\mathrm{Standard\ deviation} = \sqrt{\frac{\sum f x^2}{\sum f} - \left( \frac{\sum f x}{\sum f} \right)^2}\)

Find the mean and standard deviation for the following set of data.

\( 28 \qquad 25 \qquad 25 \qquad 20 \qquad 21 \qquad 24 \qquad 22 \qquad 23 \)

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Answer:Mean = 23.5; standard deviation = 2.40 (3 s.f.).

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