Question

The no. 3,5,6 and 4 have frequencies of x,x+2,x+8 and x+6 respectively . If their mean is 52/11, find the values of x

Answer 1

Answer:

x=8/11

Step-by-step explanation:

follow the above attachment.

Answer 2

The value of x is 7.

Explanation:

As per given , we have

X                     f               Xf    

3                     x                3x          

5                     x+2           5x+10

6                    x+8           6x+48

4                    x+6             4x+24    

Total frequency : $\sum f= x+x+2+x+8+x+6=4x+16$

$\sum fX=3x+5x+10+6x+48+4x+24= 18x+82$

We know that the formula of mean = $\dfrac{\sum fX}{\sum f}$

, where frequency corresponding to each X.

Since Mean = $\dfrac{52}{11}$ (Given)

Substitute all values in formula , we get

$\dfrac{52}{11}=\dfrac{18x+82}{4x+16}$

$52(4x+16)=11(18x+82)$

$208x+832=198x+902$

$208x-198x=902-832$

$10x=70\Rightarrow\ x=7$

Hence, the value of x is 7.

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