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The data set shows a set of numbers.

5, 2, 8, 10, 9, 4, 9, 4, x, y

The mean and median of the set of numbers is 7. The value of x is less than the value of y. Find the values of x and y

1 Answer

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The data set shows a set of numbers.

5, 2, 8, 10, 9, 4, 9, 4, x, y

The mean and median of the set of numbers is 7

Median is the middle number. The set has total 10 numbers.

If median = 7 then [x + 8(given)] / 2 = 7

(x + 8)/ 2 =7

x + 8 = 14

x = 6

Now you know

2 , 4 , 4 , 5, 6 , 8 , 9 , 10 , 10 and y

Mean = average

to find y: (y has to be greater than 6)

(2+4+4+5+6+8+9+9+10+y) / 10 = 7

(57 + y)/10 = 7

57 + y = 70

y = 13

The data set shows a set of numbers in order from least to greatest:

2 , 4 , 4 , 5, 6 , 8 , 9 , 10 , 10 , 13

Answer

x = 6 and y = 13

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