If the mean of 2, 4, 6, 8, x, y is 5, then find the value of x + y.
Answers
Given : Mean of 2, 4, 6, 8, x, y is 5.
Total number of all observations = 6
Mean = sum of all the observations/total number of observations
5 = (2 + 4 + 6 + 8 + x + y)/6
5 = (20 + x + y)/6
5 × 6 = 20 + x + y
30 = 20 + x + y
30 - 20 = x + y
x + y = 10
Hence, the value of x + y is 10.
Extra information :
Mean:
The mean of a number of observations is the sum of the values of all the observations divided by the total number of observations.
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Given : Mean of 2, 4, 6, 8, x, y is 5.
Total number of all observations = 6
Formula used: Mean = sum of all the observations/total number of observations
5 = (2 + 4 + 6 + 8 + x + y)/6
5 = (20 + x + y)/6
5 × 6 = 20 + x + y
30 = 20 + x + y
30 - 20 = x + y
x + y = 10