If the mean of the following distribution is 2.6, then the value of y is

Variable (x): 1 2 3 4 5

Frequency 4 5 y 1 2

(a) 3
(b) 8
(c) 13
(d) 24

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Solution

Consider the following table.

Variable (x) f fx

1 4 4

2 5 10

3 y 3y

4 1 4

5 2 10

Now,

y = 8

Hence, the correct option is (b).

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Similar questions

Variate X	1	2	3	4	5
Frequency of X	4	5	k	1	2

2.6

$x_{i}$	1	2	3	4	5
$f_{i}$	5	4	f	2	3

\begin{matrix} V a r i a b l e (x) & 1 & 2 & 3 & 4 & 5 F r e q u e n c y & 4 & 5 & y & 1 & 2 \end{matrix}

\begin{matrix} V a r i a b l e (x) & 1 & 2 & 3 & 4 & 5 F r e q u e n c y & 4 & 5 & y & 1 & 2 \end{matrix}

2.6

$x_{i}$	$1$	$2$	$3$	$4$	$5$
$f_{i}$	$5$	$4$	$f$	$2$	$3$

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