There is a normal distribution with a mean of 5 and a variance of 9. What are the mode and median?

For a normal distribution with a mean (average) μ = 5 and a variance σ² = 9 (meaning a standard deviation σ = 3):

• The mode equals the mean, which is 5.
• The median also equals the mean, which is 5.

In a normal distribution, the mode, median, and mean all coincide.