Question POOLE Homework Progress
729
Five whole numbers are written in order
4 6 x y
10
The mean and median of the five numbers are the same.
Work out the values of x and y.

and

Step-by-step 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

-4

step-by-step explanation:

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