Question

(b) The mean of the following frequency distribution is 22.5 Find the value of
Variate
5
15
25
x
45
Frequency
2
4
3
1
2​

Answer 1

SOLUTION

TO DETERMINE

The mean of the following frequency distribution is 22.5 Find the value of Variate

EVALUATION

Here it is given that

Variate

5

15

25

x

45

Frequency

2

4

3

1

2

$\displaystyle\sf{ \: Mean = \frac{ \sum \: xf}{ \sum \: f} }$

$\displaystyle\sf{ \implies \: 22.5 = \frac{10 + 60 + 75 + x + 90}{ 2 + 4 + 3 + 1 + 2} }$

$\displaystyle\sf{ \implies \: \frac{x + 235}{ 12} = 22.5 }$

$\displaystyle\sf{ \implies \: x + 235 = 270 }$

$\displaystyle\sf{ \implies \: x = 35 }$

FINAL ANSWER

Hence the required value of x = 35

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