for the set (2,5,x,9,16) written is the ascending order, the mean and the median are equal. what is the value of x?

Question

pls. help with this problem

Answer 1

The mean is (2+5+x+9+16)/5=(32+x)/5=6.4+x/5. The median lies between 5 and 9.

If the mean=median=x, (32+x)/5=x; 32+x=5x; 4x=32, x=8. The mean=median=8.