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