SOLUTION: I am taking a statistics class. My problem is.... The average (or mean)for 10 adults in a room is 35yo. A 32 yo enters the room now. Can you find the new average age for the 11

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Question 767293: I am taking a statistics class. My problem is....
The average (or mean)for 10 adults in a room is 35yo. A 32 yo enters the room now. Can you find the new average age for the 11 adults?
My textbook has the answer of 34.727 but I cannot figure out how it was found?
Please help!
Chrissy Long

Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!

Average of n values is nothing but the sum of the n values divided by n.
Therefore, if the average of n values is A, the sum of the n values nothing but
n*A.
Average age of 10 people is 35.
Therefore, the total age of the 10 people is = 35*10 = 350.
(Note that you don't really need to know the age of each person to solve this
problem - since you know the average)
After the 11th person enters, total age = total age of the 10 people + age of the
11th person = 350 + 32 = 382.
Now the room has 11 people with a total age of 382.
So the new average age is

Hope you got it :)
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