Find the value of p if the mean of the given observation is 17.
5, 8, 10, 12, 20, p, 25

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Solution

The correct option is B 22
Mean = 17

$M e a n = \frac{S u m o f t h e o b s e r v a t i o n s}{T o t a l n u m b e r o f o b s e r v a t i o n s}$

$17 = \frac{5 + 8 + 10 + 12 + 20 + p + 25}{6}$

102 = 80 + p

$∴ p = 22$

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p

20

$x$ :	$15$	$17$	$19$	$20 + p$	$23$
$f$ :	$2$	$3$	$4$	$5 p$	$6$

x:	15	17	19	20+p	23
f:	2	3	4	5p	6

x:	15	17	19	20 + p	23
f:	2	3	4	5 p	6

10, 12, 18, 13, P

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