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The arithmetic mean of a set P of ten numbers is p, and the arithmetic mean of a set Q of twenty numbers is q.  Find the arithmetic mean of all 30 numbers.

 May 19, 2020
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If set P has 10 numbers with an arithmetic mean of p, the sum of those 10 numbers is 10p.

If set Q has 20 numbers with an arithmetic mean of q, the sum of those 20 numbers is 20q.

 

To find the arithmetic mean of all thirty numbers:  (10p + 20q) / 30/

 May 19, 2020

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