Mark obtained 25-35 35-45 45-55 55-65 65-75
Number of students 7 31 33 17 11
Find mean

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Solution

$M a r k s o b t a i n e d$ $N o . o f s t u d e n t s$
$f_{i}$ $C l a s s - m a r k$
$x_{i}$ $f_{i} x_{i}$
$25 - 35$ $7$ $30$ $210$
$35 - 45$ $31$ $40$ $1240$
$45 - 55$ $33$ $50$ $1650$
$55 - 65$ $17$ $60$ $1020$
$65 - 75$ $11$ $70$ $770$
$75 - 85$ $1$ $80$ $80$
$\sum f_{i} = 100$ $\sum f_{i} x_{i} = 4970$
$\Rightarrow$ $M e a n (¯) = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{4970}{100} = 49.7$

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Mark obtained	25-35	35-45	45-55	55-65	65-75
Number of students	7	31	33	17	11