What combination of seven numbers has a mean of 45,

pimpinan15t

pimpinan15t

Answered question

2022-02-13

What combination of seven numbers has a mean of 45, median of 40, and a mode 50?

Answer & Explanation

Dana Sanford

Dana Sanford

Beginner2022-02-14Added 10 answers

There are many possible solutions:
{10,20,30,40,50,50,115} and {32,33,35,40,50,50,75}
are two possibilities
Explanation:
Arranged in ascending order we know that the middle term must be 40 (since it is the median).
The sum of the terms must be 7×45=315
Two of the terms must be 50, the mode (we can't have Three terms =50 since this would require the the three smallest terms to have an average value greater than 40.
So we have a requirement:
{a,b,c,40,50,50,z}
where a<b<c<40<50<z
and a+b+c+z=315(40+50+50)=175
There are lots of solutions which meet this requirement.

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