if mean of five Numbers is 30 ,and then one of the number is excluded and mean become 28 .find excluded number?
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Answer :–
- Excluded number = 38.
Given :–
- If mean of five Numbers is 30, and then one of the number is excluded and mean become 28.
To Find :–
- Find the excluded number ?
Solution :–
Mean =
Let,
5 excluded numbers be a, b, c, d and e and the total terms is 5.
And the mean is given already in the question is 30.
So,
⟹ = 30
⟹ a + b + c + d + e = 30 × 5
⟹ 150 ––––––––―–➀
Let, the excluded number be a is 1 and the mean become 28.
⟹ = 28
⟹ b + c + d + e = 28 × 4
⟹ 112
Now, put the value of ➀,
⟹ a + 112 = 150
⟹ a = 150 – 112
⟹ a = 38
Hence,
The excluded number is 38.
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