Calculate the mean of weekly wages from the following frequency distribution:
Wages
(in Rs.) No. of workers
$30 - 40$ $10$
$40 - 50$ $20$
$50 - 60$ $40$
$60 - 70$ $16$
$70 - 80$ $8$
$80 - 90$ $6$

52

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43

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48

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56

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Solution

The correct option is D $56$
Wages Class mark Frequency
(In Rs.) (x) (No. of workers)(f) fx
$30 - 40$ $35$ $10$ $350$
$40 - 50$ $45$ $20$ $900$
$50 - 60$ $55$ $40$ $2200$
$60 - 70$ $65$ $16$ $1040$
$70 - 80$ $75$ $8$ $600$
$80 - 90$ $85$ $6$ $510$
$\sum f = 100$ $\sum f x = 5600$
$∴$ Mean $= \frac{\sum f x}{\sum f} = \frac{5600}{100} = 56$

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Similar questions

Weekly wages (in Rs.)	$50 - 55$	$55 - 60$	$60 - 65$	$65 - 70$	$70 - 75$	$75 - 80$	$80 - 85$	$85 - 90$
No. of workers	$5$	$20$	$10$	$10$	$9$	$6$	$12$	$8$

R s . 80

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

60

Wages per week	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
No. of workers	$4$	$6$	$10$	$20$	$10$	$6$	$4$

Weekly wages (in Rs.)	$50 - 55$	$55 - 60$	$60 - 65$	$65 - 70$	$70 - 75$	$75 - 80$	$80 - 85$	$85 - 90$
No. of workers	$5$	$20$	$10$	$10$	$9$	$6$	$12$	$8$

Marks	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
No. of Students	$12$	$22$	$35$	$40$	$60$	$52$	$40$	$30$	$5$

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