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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?
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Verified 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
Mean =
Now each value is increased by 5
Mean =
+5=65+5=70
Hence the mean is 70
Most Upvoted 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.
- 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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Community Answer
The arithmetic mean of a set of 40 values is 65. If each of the 40 val...
Yes the correct answer is C .The short cut way is, when any no. is increased by n then the new mean is n+old mean, where n is any integet.
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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)50b)60c)70d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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