The following is the number of books is issued a college library on $10$ different days. $92, 146, 88, 200, 99, 100, 75, 100, 95, 105$ . Calculate arithmetic mean, median and mode.

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Solution

Arranging data in descending order
$200, 146, 105, 100, 100, 99, 95, 92, 88, 75$
$n = 10$
$m e a n = \frac{s u m o f o b s e r v a t i o n}{n u m b e r o f o b s e r v a t i o n}$

$= \frac{200 + 146 + 105 + 100 + 100 + 99 + 95 + 92 + 88 + 75}{10}$
$= \frac{1100}{10}$
$= 110$
$m e a n o f (\frac{n}{2}) t h a n d (\frac{n}{1} + 1) t h o b s e r v a t i o n$
$m e a n o f (\frac{10}{2}) t h a n d (\frac{10}{2} + 1) t h o b s e r v a t i o n$
$m e a n o f 5 t h a n d 6 t h o b s e r v a t i o n$
$= \frac{100 + 99}{2}$
$= \frac{199}{2}$
$= 99.5$
$mode = 100$

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