The mean of eight numbers is 41. The mean of

Semaj Christian

Semaj Christian

Answered question


The mean of eight numbers is 41. The mean of two of the numbers is 29. What is the mean of the other six numbers?

Answer & Explanation

Jerome Page

Jerome Page

Beginner2022-06-27Added 16 answers

There are 3 different sets of numbers involved here.
A set of six, a set of two and the set of all eight.
Each set has its own mean.
m e a n = T o t a l n u m b e r   o f   n u m b e r s P R M = T N
Note that if you know the mean and how many numbers there are, you can find the total.
T = M × N
You can add numbers, you can add totals, but you may not add means together.
So, for all eight numbers: The total is 8 × 41 = 328
For two of the numbers: The total is 2 × 29 = 58
Therefore the total of the other six numbers is 328-58=270
The mean of the six numbers = 270 6 = 45

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