Find the mean age of $100$ residents of a colony from the following data:
Age in Years (Greater than or equal to)
No. of persons
$0$
$100$
$10$
$90$
$20$
$75$
$30$
$50$
$40$
$25$
$50$
$15$
$60$
$5$
$70$
$0$

37.5

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33.2

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32

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28

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Solution

The correct option is D $32$
Marks CI No.of Students $x$ $f_{x}$
$0 - 10$ $10$ $5$ $50$
$10 - 20$ $15$ $15$ $225$
$20 - 30$ $25$ $25$ $625$
$30 - 40$ $25$ $35$ $875$
$40 - 50$ $10$ $45$ $450$
$50 - 60$ $10$ $55$ $550$
$60 - 70$ $5$ $65$ $325$

Sum= $100$ Sum= $3200$
$¯ x$ = $\frac{\sum f x}{\sum f} = \frac{3200}{100} = 32$

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Find the mean age of 100 residents of a town from the following data.
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Find the mean age of 100 residents of a town from the following data.

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100

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Number of persons	$5$	$15$	$20$	$23$	$17$	$11$	$9$

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Age in Years (Greater than or equal to)	No. of persons
$0$	$100$
$10$	$90$
$20$	$75$
$30$	$50$
$40$	$25$
$50$	$15$
$60$	$5$
$70$	$0$

Find the mean age of 100 residents of a colony from the following data:Age in Years (Greater than or equal to)No. of persons010010902075305040255015605700

The correct option is D 32Marks CI No.of Students x fx0−10 10 5 5010−20 15 15 22520−30 25 25 62530−40 25 35 87540−50 10 45 45050−60 10 55 55060−70 5 65 325 Sum=100 Sum=3200¯x =∑fx∑f=3200100=32

Find the mean age of $100$ residents of a colony from the following data:
Age in Years (Greater than or equal to)
No. of persons
$0$
$100$
$10$
$90$
$20$
$75$
$30$
$50$
$40$
$25$
$50$
$15$
$60$
$5$
$70$
$0$