The median for the given set of six ordered data values is 30.5.

7 12 23 _ 41 50

What is the missing value?

x = 15

The median is the middle number, however, in this case there are two:

25 and x

The formula is:

23 + x/2 = 30.5

Subtract 23 from both sides:

23 + x - 23 = 30.5 - 23

Simplify:

x/2 = 7.5

Multiply both sides by 2:

2x/2 = 7.5 ⋅ 2

Therefore:

x = 15