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The marks obtained by 110 students in an examination are given below :

Marks: 30-35 35-40 40-45 45-50 50-55 55-60 60-65

Number of

Students:
14 16 28 23 18 8
3

Find the mean marks of the students.

Answers (1)

x_i	32.5	37.5	42.5	47.5	52.5	57.5	62.5
f_i	14	16	28	23	18	8	3
u_i	-3	-2	-1	0	1	2	3
f_iu_i	-48	-32	-28	0	18	16	9

$\Sigma f_i = 110$

$\Sigma f_iu_i = -59$

$\begin{align*} \text{Mean} & = 47.5 - \frac{59\times 5}{110} \\ & = 47.5 - 2.68 \\ & = 44.82\end{align*}$

Posted by

Safeer PP

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