5whole numbers are written in order, 4, 6, x, y, 10. the mean and median of the 5 numbers are the same so what are the values of x and y

The value of x is 7 and the value of y is 8.

Explanation:

It is given that 5 whole numbers are written in order, 4, 6, x, y, 10. The mean and median of the 5 numbers are the same.

The 5 numbers are arranged in ascending order. The total numbers are 5 which is odd number so the median is    term.

n=5

The third term is median. So the median is x.

Since mean and median are same.

    ... (1)

Since the whole numbers are arranged in the ascending order therefore the value of x and y must a whole number greater than 6 and less than 10.

Put x=7 in equation (1).

Therefore, the value of x and y are 7 and 8 respectively.

Put x=8.

Therefore the value of x can not be 8 or not more than that.