SOLUTION: Find the median. 22, 15, 21, 37, 27 A) 22 B) 15 C) 27 D) 21 I got A as my answer and I want to make sure that I got this correct, thank you

Algebra ->  Real-numbers -> SOLUTION: Find the median. 22, 15, 21, 37, 27 A) 22 B) 15 C) 27 D) 21 I got A as my answer and I want to make sure that I got this correct, thank you       Log On


   



Question 92756: Find the median.
22, 15, 21, 37, 27
A) 22 B) 15 C) 27 D) 21

I got A as my answer and I want to make sure that I got this correct, thank you

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Find the median. 
22, 15, 21, 37, 27 
A) 22 B) 15 C) 27 D) 21 

I got A as my answer and I want to make sure 
that I got this correct, thank you

Arrange the numbers in order from smallest to largest:

15, 21, 22, 27, 37

When there is an odd number of numbers, the number in 
the middle is the median, so since 22 is the number in
the middle, the median is 22. So you are correct.

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Just remember that when you have an even number of numbers,
when you arrange them in order, there won't be just one 
number in the middle as there is here, when you had an odd 
number of numbers.  However there will be TWO numbers in
the middle, not one.  So then you have to average the two
in the middle.

Suppose you had these six numbers instead:

41, 25, 23, 30, 16, 21

Arrange the numbers in order from smallest to largest:

16, 21, 23, 25, 30, 41
   
There is not just one number in the middle, instead
there are TWO numbers in the middle, 23 and 25.  So
we average those two:

Add them: 23 + 25 = 48, then divide by 2, getting 24.

So 24 is the median of those 6 numbers.

Edwin