Find the mean of the following continuous distribution.
Class interval $10 - 15$ $15 - 20$ $20 - 25$ $25 - 30$ $30 - 35$
Frequency $8$ $11$ $6$ $13$ $12$

23

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23.5

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24

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24.5

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Solution

The correct option is D $23.5$
C.I. Frequency (f)
Class Mark (x)
fx
10-15 8 12.5 100
15-20 11 17.5 192.5
20-25 6 22.5 135
25-30 13 27.5 357.5
30-35
Mean $= \frac{\sum f x}{\sum f} = \frac{1175}{50} = 23.5$
12
$\sum f = 50$
32.5 390
$\sum f x = 1175$

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Similar questions

Class interval	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$7$	$12$	$8$	$10$

Class	10-15	15-20	20-25	25-30	30-35	35-40
Frequency	5	6	8	12	6	3

Class-interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency:	5	8	7	12	28	20	10	10

Class-interval:	10−15	15−20	20−25	25−30	30−35	35−40
Frequency:	30	45	75	35	25	15

Class-interval:	25−30	30−35	35−40	40−45	45−50	50−55
Frequency:	25	34	50	42	38	14

\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 10 - 15 & 5 15 - 20 & 6 20 - 25 & 8 25 - 30 & 12 30 - 35 & 6 35 - 40 & 3 \end{matrix}

Class:	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$
Frequency:	$5$	$6$	$15$	$10$	$5$	$4$	$2$	$2$

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