Which term describes any distribution that is symmetrical around the mean?

Which term describes any distribution that is symmetrical around the mean?

• A. Normal distribution
• B. Standard deviation
• C. Present value
• D. Discounting (interest)

Answer: (A)

A distribution that is symmetrical around its mean is described by the normal distribution. The normal distribution is the classic bell-shaped curve where probabilities mirror on either side of the mean, so deviations above and below the mean with the same distance have equal likelihood. The mean sets the center, and the standard deviation determines how spread out the values are, but the overall shape remains symmetric. This symmetry is a defining feature the normal distribution is famous for, and many statistical methods assume it for simplicity and because of the central limit theorem. The other terms don’t capture this idea: standard deviation is a measure of spread, not a distribution’s shape, while present value and discounting relate to the time value of money rather than distribution symmetry.

A distribution that is symmetrical around its mean is described by the normal distribution. The normal distribution is the classic bell-shaped curve where probabilities mirror on either side of the mean, so deviations above and below the mean with the same distance have equal likelihood. The mean sets the center, and the standard deviation determines how spread out the values are, but the overall shape remains symmetric. This symmetry is a defining feature the normal distribution is famous for, and many statistical methods assume it for simplicity and because of the central limit theorem. The other terms don’t capture this idea: standard deviation is a measure of spread, not a distribution’s shape, while present value and discounting relate to the time value of money rather than distribution symmetry.