Find the mean of the following data
$5, 10, 15, 20, 25, 30, 35, 40, 45, 50$

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Solution

Finding the mean:
Mean (or sometimes called arithmetic mean) of a number of observations is defined as the sum of all observations divided by the number of observations.
$Mean = \frac{Sum of all observations}{Number of observations}$
Therefore,
$\begin{array}{rcl} Mean & = & \frac{5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50}{10} \\ = & \frac{275}{10} \\ = & 27.5 \end{array}$
Hence the mean of the given data is $27.5$

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Number of students per teacher	Number of states/U.T.
$15 - 20$	$3$
$20 - 25$	$8$
$25 - 30$	$9$
$30 - 35$	$10$
$35 - 40$	$3$
$40 - 45$	$0$
$45 - 50$	$0$
$50 - 55$	$2$

45, 35, 20, 30, 15, 25, 40

CI	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$
$f$	$9$	$13$	$6$	$12$	$9$	$6$	$10$	$15$	$6$	$4$

Size of item	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$
No. of items	$4$	$8$	$18$	$30$	$20$	$10$	$5$	$2$

Marks	0-5	5-10	10-15	15-20	20-25	25-30	30-35	35-40	40-45	45-50
Frequency	3	5	7	8	10	11	14	19	15	13

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