Question

If the mean of x, x + 2, x + 4, x + 6 and x + 8 is 13, find the value of x. Sum of data.

Answer 1

∵ Mean = `"Sum of data"/"Number of data"`

`=> 13 = (x + (x + 2) + (x + 4) + (x + 6) + (x + 8))/5`

`=> 13 = (5x + 20)/5`

`=> 13 xx 5 = 5x + 20`

⇒ 65 - 20 = 5x

⇒ 45 = 5x

⇒ x = `45/5`

∴ x = 9