The mean of 8 numbers is 41 The mean of 2 of the numbers is 29 What is the mean of the other 6 numbers?

2 Answers
Jan 9, 2018

Mean = 45

Explanation:

Let the 8 numbers be: a,b,c,d,e,f,g,h

a+b+c+d+e+f+g+h8=41

a+b+c+d+e+f+g+h=328

Let the two of those numbers just be gandh

g+h2=29

g+h=58

So a+b+c+d+e+f+g+h=328 Becomes...

a+b+c+d+e+f+58=328

a+b+c+d+e+f=270

Mean of these six numbers...

a+b+c+d+e+f6=2706=45

Jan 9, 2018

45

Explanation:

The mean is that single value that if you multiply it by the count of values used to derive it you end up with their sum.

8 values with mean of 41
8 x 41 = 328 <-sum of all values.

2 values with mean of 29
2 x 29 = 58
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So the remaining 6 values must sum to 328 - 58 = 270

Thus the mean of the remaining 6 is 270÷6=45