SOLUTION: The Standard Deviation of a distribution of 100 values was Rs. 2. If the sum of squares of actual values was Rs. 3,600, what was the mean of this distribution?

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Question 1088168: The Standard Deviation of a distribution of 100 values was Rs. 2. If the sum of squares of actual values was Rs. 3,600, what was the mean of this distribution?
Answer by Mathtutoronline(1) About Me  (Show Source):
You can put this solution on YOUR website!
Standard-+deviation+=+sqrt%28%28Sum+of+squares%2FN%29-%28Mean%5E2%29%29
Here:
Standard deviation= 2
Sum of squares= 3600
Total numbers=N=100
To find: Mean?
Putting values in formula:
2+=+sqrt%28%283600%2F100%29-%28Mean%5E2%29%29
Squaring both sides:
4+=+%28%283600%2F100%29-%28Mean%5E2%29%29
Simplifying
4+=+%28%2836%29-%28Mean%5E2%29%29

Mean%5E2+=+%28%2836%29-%284%29%29

Mean%5E2+=+%2832%29

Mean+=+%28sqrt%2832%29%29

Mean+=+%285.6568%29