The histogram below represents the scores obtained by $25$ students in a Mathematics mental test. Use the data to to calculate mean of the distribution.

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Solution

C.I. $f$ $x$ $f \cdot x$
$0 - 10$ $2$ $5$ $10$
$10 - 20$ $5$ $15$ $75$
$20 - 30$ $8$ $25$ $200$
$30 - 40$ $4$ $35$ $140$
$40 - 50$ $6$ $45$ $270$
$\sum f = 25$ $\sum f \cdot x = 695$
$M e a n = \frac{\sum f x}{\sum f}$
$= \frac{695}{25} = 27.8$

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C.I.	$f$	$x$	$f \cdot x$
$0 - 10$	$2$	$5$	$10$
$10 - 20$	$5$	$15$	$75$
$20 - 30$	$8$	$25$	$200$
$30 - 40$	$4$	$35$	$140$
$40 - 50$	$6$	$45$	$270$
	$\sum f = 25$		$\sum f \cdot x = 695$

The histogram below represents the scores obtained by 25 students in a Mathematics mental test. Use the data to to calculate mean of the distribution.

C.I. fx f⋅x0−10251010−205157520−3082520030−4043514040−50645270∑f=25∑f⋅x=695Mean=∑fx∑f=69525=27.8

The histogram below represents the scores obtained by $25$ students in a Mathematics mental test. Use the data to to calculate mean of the distribution.

C.I. $f$ $x$ $f \cdot x$
$0 - 10$ $2$ $5$ $10$
$10 - 20$ $5$ $15$ $75$
$20 - 30$ $8$ $25$ $200$
$30 - 40$ $4$ $35$ $140$
$40 - 50$ $6$ $45$ $270$
$\sum f = 25$ $\sum f \cdot x = 695$
$M e a n = \frac{\sum f x}{\sum f}$
$= \frac{695}{25} = 27.8$