SOLUTION: Find the value of x that makes the median the given number. 32, 23, 15, 30, 12, x; median = 25

Algebra ->  Statistics  -> Describing-distributions-with-numbers -> SOLUTION: Find the value of x that makes the median the given number. 32, 23, 15, 30, 12, x; median = 25       Log On


   



Question 1136584: Find the value of x that makes the median the given number.
32, 23, 15, 30, 12, x; median = 25

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
First sort the numbers:
12, 15, 23, 30, 32

Notice x must fall between 23 and 30:
12, 15, 23, x, 30, 32

Median is the middle number if there are an odd number of data values,
otherwise it is the mean of the two values surrounding the middle.

For this data (with six data points) to have a median of 25, we must have:
(x+23)/2 = 25 --> +highlight%28+x+=+27+%29+