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There are three numbers with arithmetic mean 3 and two numbers with sum 26. Find the arithmetic mean of these five numbers. ?

Answer 1

The arithmetic mean of the five numbers would be #7#

The #color(green)3# numbers with an arithmetic mean of #color(magenta)3# will have a sum of #color(green)3 xx color(magenta)3=9#

If these 3 numbers are combined with 2 more whose sum is #color(blue)(26)#, the sum of all 5 numbers will be #color(magenta)9+color(blue)(26)=color(red)(35)#

and the arithmetic mean of these #color(brown)5# numbers will be #color(red)(35)/color(brown)5=7#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.