Consider the following frequency distribution.
Class Intervals $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$
Frequency $8$ $10$ $12$ $15$
Arithmetic mean $=$ ?

39.65

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22.55

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32.55

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23.56

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Solution

The correct option is B $22.55$
Class Intervals Mid-values(x) Frequency(f) fx
$01 - 0$ $5$ $8$ $40$
$10 - 20$ $15$ $10$ $150$
$20 - 30$ $25$ $12$ $300$
$30 - 40$ $35$ $15$ $525$

$\sum f = 45$ $\sum f x = 1, 015$

Arithmetic mean $= \frac{1, 015}{45} = 22.55$ .

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Similar questions

Class Intervals	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$
Frequency	$8$	$10$	$12$	$15$

=

Class-interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Frequency	$7$	$14$	$28$	$26$	$16$	$9$

25

p

Class interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$5$	$18$	$15$	$p$	$6$

Class Interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$7$	$8$	$12$	$13$	$10$

Class Interval	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Frequency	$8$	$5$	$12$	$35$	$24$	$16$

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