Here's a link to a screenshot with the formula used in Column B and some sample data
I have a spreadsheet with 48 rows of data in column A
The values range from 0 to 19
The average of these 48 rows = 8.71
the standard deviation of the population = 3.77
I've used the STANDARDIZE function in excel in column B to return the Z-score of each item in column A given that I know the mean (8.71), std dev (3.77), and x (whatever is in column A).
For example (row 2) has:
x = 2
z = -1.779
Using the z value, I want to create an lower (4) and upper (24) boundary and calculate what the value would be in this 3rd column.
Essentially, if x = 0 (min value), then z = -2.3096, and columnC = 4 (lower boundary condition)
Conversely, if x = 19 (max value), then z = 2.9947, and columnC = 19 (upper boundary condition)
and then all other values between 0 to 19 would be calculated....
Any ideas how I can accomplish this with a formula in the column C?