if a distribution has a mean of 50 and a standard deviation of five what value would be -1 standard deviation from the mean

To find the value that is -1 standard deviation from the mean, you can subtract one standard deviation from the mean.

Given that the mean (μ) is 50 and the standard deviation (σ) is 5, you can calculate the value that is -1 standard deviation from the mean as follows:

Value = Mean - (Standard Deviation * Number of Standard Deviations)

Number of Standard Deviations = -1

Value = 50 - (5 * -1)
= 50 + 5
= 55

Therefore, the value that is -1 standard deviation from the mean is 55.

surely, that would be 45, right?

Unless there is some very strange trick :)