Statistical Estimates of Biology Test Marks

Statistical Estimates of Biology Test Marks

The thirty students in a class each took a Biology test. The marks obtained are shown in the table below.

Marks	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(10\)
Frequency	\(2\)	\(5\)	\(11\)	\(8\)	\(3\)	\(1\)

Calculate the unbiased estimates of the population mean and variance.

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Answer:\(\bar x=6.3,\quad s^2=\frac{463}{290}\approx1.60\text{ (3 s.f.)}\)

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