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Direct Method of Finding Mean

The following...

Question

The following data give the number of boys of a particular age in a class of 40 students.
$\begin{matrix} Age (in years) & 15 & 16 & 17 & 18 & 19 & 20 Frequency (f_{i}) & 3 & 8 & 9 & 11 & 6 & 3 \end{matrix}$
Calculate the mean ager of the students.

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Solution

Sol:

For calculating the mean, we prepare the following frequency table:

Age ( in years )
(xixi)
Frequency
(fifi)
xififixi

15 3 45

16 8 128

17 9 153

18 11 198

19 6 114

20 3 60

12Σfi=12 Σfixi=698

Mean = 698/12ΣfixiΣfi=69840=17.45 kg

Therefore, the mean age of the students = 17.45 kg

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