The values of x and y are 8 and 10, respectively
<h3>How to determine the values of x and y?</h3>
The list of the numbers is given as:
4, 7, x, y, 11
The mean and median of the five numbers are the same.
The median is the middle number.
So, we have
Median = x
This means that
Mean = Median = x
The mean is calculated as:
Mean = Sum/Count
This gives
(4+ 7+ x+ y+ 11)/5 = x
Evaluate the sum
(22 + x + y)/5 = x
This gives
22 + x + y = 5x
Evaluate the like terms
4x = 22 + y
Based on the order of the list, we have:
7 < x < y < 11
Assume y = 10
4x = 22 + 10
This gives
x = 32/4
x = 8
Recall that:
7 < x < y < 11
This means that
7 < 8 < 10 < 11
The above is true
Hence, the values of x and y are 8 and 10, respectively
Read more about mean and median at:
brainly.com/question/14532771
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