Question

If means of 5observation x,x+2,x+4,x+6andx+8 is 11 then find the value of x

Answer 1

Hello Dear!!!

Here's your answer...

The 5 observations are x,x+2,x+4,x+6 and x+8

Mean is 11.

Mean = sum of observations/ number of observations.

11 = x+x+2+x+4+x+6+x+8/ 5

11×5 = x+x+2+x+4+x+6+x+8

55 = 5x+20

55-20 = 5x

35 = 5x

35/5 = x

7 = x

the value of x is 7.

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hope this helps you...

Answer 2

Mean = Sum of observations / No. of observations 

Sum = x + x + 2 + x + 4 + x + 6 + x + 8  = 5 x + 20 

No. of observations  = 5

Mean = (5 x + 20) / 5 = 5(x+4) / 5 = x + 4

So, mean = x + 4

But given mean = 11

So, x + 4 = 11 ⇒ x = 7