The percentages of marks obtained by 12 students of a class in mathematics are
64, 36, 47, 23, 0, 19, 81, 93, 72, 35, 3, 1.
Find the mean percentage of marks.

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Solution

Percentages of marks obtained: 64, 36, 47, 23, 0, 19, 81, 93, 72, 35, 3, 1
Now,

$Mean = \frac{Sum of observa tions}{Number of observations}$

$= \frac{64 + 36 + 47 + 23 + 0 + 19 + 81 + 93 + 72 + 35 + 3 + 1}{12} = \frac{474}{12} = 39.5$

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The marks obtained by 12 students in a mathematics examination are given below.

48, 78, 93, 90, 66, 54, 83, 58, 60, 75, 89, 84.

Find (i) the mean of the marks; (ii) the mean mark of the students if each student is given 4 grace marks.

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