Question

4,5,8,x+10,2x+6,3x+5,30,40 are in random order.if the mean is 24, find the value of x and hence the median

Answer 1

Mean ={4+5+8+x+10+2x+6+3x+5+30+40}/8

24=(108+6x)/8

24*8=108+6x

192=108+6x

192-108=6x

84=6x

14=x

Then, as there are 8 numbers which is odd then,

Then, the value of
x+10=14+10=24,

Value of 2x+6=28+6=34

Value of 3x+6=42+5=47

Arrange the given data in ascending order,

4,5,8,24,30,34,40,47

Then, median =(24+30)/2=54/2=26