What is the probability that an individual, selected at random, will score below the mean on any normally distributed characteristic?

the probability that an individual, selected at random, will score below the mean on any normally distributed characteristic is just about 0.5.

Step-by-step explanation:

This probability in normal distribution corresponds to z-score of 0. Using normal distribution tables.

P (z < 0) = 1 - P (z ≥ 0) = 1 - 0.5 = 0.5

Which is very logical, to score below the mean on a normal distribution, the probability is just less than 0.5.