Question

the mean and median of the numbers 1,2,3,4,y,8,9,10,12 and x, written in increasing order are both 7. find x and y.

Answer 1

Answer:

x = 15, y = 6.

Step-by-step explanation:

1,2,3,4,y,8,9,10,12,x

Mean =  Sum of observations/number of observations

   7    = 1+2+3+4+y+8+9+10+12+x / 10

          = 49+x+y/10

 x+y = 70 - 49 = 21.

Median = average of y and 8

Median = 8+y/2

7  =  8 + y /2

y = 14 - 8 = 6.

//substitute the value in x + y = 21.

x + 6 = 21

x = 15.