Arithmetic mean of a series is 15 and if 5 is added in all the items of this series, the new arithmetic mean will be: *
5
20
18
10
Answers
Answer:
20 is the answer
Explanation:
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Answer
The arithmetic mean (AM) is 20.
According to statistics, the Arithmetic Mean (AM) is the ratio of the total sum of all observations to the total number of observations.
Let N1, N2, ..., Nn be the n terms of the series. Then, the original mean is:
Arithmetic Mean (AM) = (N1 + N2 + ... + Nn) / n
After adding 5 to each term, the new terms are N1 + 5, N2 + 5, ..., and Nn + 5.
The new mean will be,
New Mean = (N1 + 5 + N2 + 5 + ... + Nn + 5) / n
= (N1 + N2 + ... + Nn) / n + 5, ( here '5' is taken out as common from numerator)
= Mean + 5
= 15 + 5
= 20
Therefore, the new arithmetic means after adding 5 to the series is 20.
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