the mean of first 5 observation is 20 and the mean of last 5 observation is 45 what is the mean of all 10 observation
Answers
Given : mean of first 5 observation is 20
mean of last 5 observation is 45
To Find : mean of all 10 observation
Solution :
Shortcut
As number of observation is same in both case so we can just find mean of both case
= ( 20 + 45)/2
= 65/2
= 32.5
Detailed :
mean of first 5 observation is 20
=> Sum of first 5 observation is 20 x 5 = 100
mean of last 5 observation is 45
=> Sum of last 5 observation is 4 x5 5 = 225
Sum of 10 observations = 225 + 100 = 325
Total Observations = 10
Mean = 325/10
= 32.5
mean of all 10 observation = 32.5
One liner solution :
( 5 x 20 + 5 x 45) /(5 + 5) = (20 + 45) /2 = 32.5
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