Answer:
and

Explanation:
Given
4 6 x y 10
Median = Mean
Required
Find x and y
The mean is calculated as:

Collect Like Terms


The median which is the mid-data is x
i.e.

Median = Mean; so, we have:

Multiply through by 5


Collect Like Terms


Since the numbers are in order, the values of x and y could be any of 7, 8 and 9
Such that:

So, we need to test the equation with these values
Let x = 7
So, we have:






This is true for the equation.
Hence:
and
