If mean of the following data is 20.2. Find the value of p.

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Solution

Since mean = 20.2
$\frac{610 + 20 p}{30 + p}$ = 20.2

610 + 20p = 20.2(30 + p)
610 + 20p = 606 + 20.2p
20.2p-20p = 606 - 610
0.2p = 4
p = $\frac{4}{0.2}$

p = 20

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$x_{i}$	10	15	20	25	30
$f_{i}$	6	8	p	10	6

Variable (x_i)	10	15	20	25	30
Frequency (f_i)	6	8	p	10	6

20.2

p

x	10	15	20	25	30
f	6	8	p	10	6

\begin{matrix} x & 10 & 15 & 20 & 25 & 30 f & 6 & 8 & p & 10 & 6 \end{matrix}

20.2

p

$x$	$10$	$15$	$20$	$25$	$30$
$y$	$6$	$8$	$p$	$10$	$6$

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