The mean of the following distribution is
Class $0 - 5$ $5 - 10$ $10 - 15$ $15 - 20$ $20 - 25$ $25 - 30$
Frequency $4$ $5$ $7$ $12$ $7$ $5$

15

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16

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17

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18

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Solution

The correct option is B $16$
Answer:-
$x_{i} = \frac{upper limt + lower limit}{2}$

Class Frequency $x_{i}$ $x_{i} . f_{i}$
$0 - 5$ $4$ $2.5$ $6$
$5 - 10$ $5$ $7.5$ $37.5$
$10 - 15$ $7$ $12.5$ $87.5$
$15 - 20$ $12$ $17.5$ $210$
$20 - 25$ $7$ $22.5$ $157.5$
$25 - 30$ $5$ $27.5$ $137.5$
$Σ f_{i} = 40$ $Σ f_{i} . x_{i} = 640$
Mean = $\frac{Σ f_{i} . x_{i}}{Σ f_{i}} = \frac{640}{40} = 16$

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Similar questions

Class-interval	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$5$	$3$	$9$	$10$	$8$	$5$

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

Items	0−5	5−10	10−15	15−20	20−25	25−30	30−35	35−40
Frequency	2	5	7	13	21	16	8	3

Class-Interval	0−5	5−10	10−15	15−20	20−25	25−30	30−35	35−40
Frequency	5	7	15	18	16	9	6	3

For the following frequenc distribution:

If the mode and the median are 12.9 and 14.44 respectively, then the mean is

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Class	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$4$	$5$	$7$	$12$	$7$	$5$