SOLUTION: The mean of the list n, n + 3, n+4, n+5, n+6, n+8, n+10, n + 12, n+15 is 11. What is the median?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The mean of the list n, n + 3, n+4, n+5, n+6, n+8, n+10, n + 12, n+15 is 11. What is the median?      Log On

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Question 1161200: The mean of the list
n, n + 3, n+4, n+5, n+6, n+8, n+10, n + 12, n+15
is 11. What is the median?
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The mean of the list
n, n+%2B+3,+n%2B4, n%2B5, n%2B6, n%2B8, n%2B10, n+%2B+12, n%2B15 is 11. What is the median?

The mean is the average of the numbers.
so, calculate n
%28n%2Bn+%2B+3%2B+n%2B4%2B+n%2B5%2B+n%2B6%2Bn%2B8%2B+n%2B10%2Bn+%2B+12%2B+n%2B15%29%2F9=11
%289n+%2B+63%29%2F9=11
9n+%2B+63=99
9n+=99-63
9n+=36
n=4

your list is:
4, 7, 8, 9,+10,+12, 14, 16,19
To find the Median, place the numbers in value order (in this case it is already) and find the middle number.
4, 7, 8, 9,highlight%28+10%29,+12, 14, 16,19

The middle number is 10, so the median is 10.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Bn%2B3%2Bn%2B4%2Bn%2B5%2Bn%2B6%2Bn%2B8%2Bn%2B12%2Bn%2B15=9%2A11--------simplify and solve.

median n%2B6