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The arithmetic mean of a set of 40 values is 65. If each of the 40 values is increased by 5, what will be the mean of the set of new values:
  • a)
    50
  • b)
    60
  • c)
    70
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The arithmetic mean of a set of 40 values is 65. If each of the 40 val...
We have mean = 
Mean = 
Now each value is increased by 5
Mean = 
+5=65+5=70
Hence the mean is 70
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Community Answer
The arithmetic mean of a set of 40 values is 65. If each of the 40 val...
Given:
- Arithmetic mean of a set of 40 values is 65.
- Each of the 40 values is increased by 5.

To Find:
- Mean of the set of new values.

Solution:
Let the sum of the original set of 40 values be S.

- Arithmetic mean of the original set of 40 values is given by:
Mean = (Sum of values) / (Number of values)
65 = S / 40
S = 2600

Now, each of the original 40 values is increased by 5. Let the new set of 40 values be N1, N2, N3, ..., N40.

- Sum of the new set of 40 values is given by:
Sum of new values = Sum of original values + 5 x 40
Sum of new values = 2600 + 200
Sum of new values = 2800

- Arithmetic mean of the new set of 40 values is given by:
Mean = (Sum of new values) / (Number of values)
Mean = 2800 / 40
Mean = 70

Therefore, the mean of the new set of values is 70.

Answer: Option (c) 70.
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