Question

a psychologist looking at a graph of iq scores around the world notices that the data form a normal distribution. which of the following statements describes the mean, median, and mode of a test whose scores are normally distributed?
a the mean and the median will be the same value, but the mode will be lower.
b the mean will be the highest value, followed by the median, followed by the mode.
c the mode will be the highest value, followed by the median, followed by the mean.
d the mean, the median, and the mode will be the same value.

Explanation:

In a normal distribution, the data is symmetrically distributed around the center. The mean is the average value, the median is the middle - value when the data is ordered, and the mode is the most frequently occurring value. Due to the symmetry of the normal distribution, these three measures of central tendency (mean, median, mode) all lie at the center of the distribution.

Answer:

D. The mean, the median, and the mode will be the same value.