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Question 38
If the arithmetic mean of 10 numbers is 35 and each number is increased by 2, find the mean of the new set of numbers.
Solution
It is the property of arithmetic mean
If we increase variable by same no. that is any constant k then the mean will also be increase by k
For eg.
X x+2
1 3
2 4
3 5
4 6
5 7
--- ---
15 25
--- ---
Mean = $$15\div 5$$=3
Mean for x+2= $$25\div 5$$=5
so in this question
Mean =35
Increased no. =2
Then increased mean = 37
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