Question

if the average of the values 18,41,x,36,31,24,37,35,27,36,is 31,find the value of x

Answer 1

There are 10 values and the average comes out to be 31, the equation can be written as:

$\frac{18+41+x+36+31+24+37+35+27+36}{10} =31\\\\</p><p>and \\</p><p>285+x=310\\</p><p>or\\</p><p>x=310-285\\</p><p>x=25$

Answer 2

The average of all numbers is the sum of all the numbers divided by its total numbers.

So total numbers is 10.

18 + 41 + x + 36 + 31 + 24 + 37 + 35 + 27 + 36 / 10 = 31

  285 + x /10 = 31

x = 310 - 285

x = 25