Question

5,7,10,12,2x-8,2x+10,35,41,42,50 are arranged in ascending order. if there mean is 25 find x​

Answer 1

sum of all observation = 164 + 4x

mean = (202 + 4x ) ÷ 10

25 ×10 = 202 + x

4x = 250 - 202
4x = 48

x = 48 ÷ 4
× = 12

Answer 2

$\boxed{x\:=\:12}$

Given ,

Observations=>5,7,10,12,2x-8,2x+10,35,41,42,50

Number of observations => 10

Mean of the data => 25

$mean \: = \: \frac{sum \: of \: observations}{number \: of \: observations}$

[ Substitute the values ]

$25 = \frac{5 + 7 + 10 + 12 + 2x - 8 + 2x + 10 + 35 + 41 + 42 + 50}{10}$

$25 = \frac{202 + 4x}{10}$

$25 \times10 = 202 + 4x$

$250 = 202 + 4x$

$250 - 202 = 4x$

$48 = 4x$

$4x = 48$

$x = \frac{48}{4}$

$x = 12$

$\underline{Therefore\:value\:of\:x\:=\:12}$