If the mean of the observation:x,x+3,x+5,x+7,x+10 is 9, then find the mean of the last three observations.
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↬ Given :-
- The mean of the observation x, x+3, x+5, x+7, x+10 is 9.
↬ To find :-
- The mean of last three observation.
↬ Solution :-
we know that,
Now,
From the above observation,
- Mean = 9 (given)
∴ x + 5 = 9
➝ x = 9 - 5
➝ x = 4
last three observation (x + 5), (x + 7), (x + 10)
➝ (4 + 5), (4 + 7), (4 + 10)
➝ 9, 11, 14
⤤ So, last three observation will be 9, 11, 14
Then,
Hence,the mean of last three observation will be 11 ⅓.
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