Question

choose the correct histogram below.
does the histogram appear to depict data that have a normal distribution?
a. the histogram does not appear to depict a normal distribution. the frequencies generally decrease to a minimum and then increase, and the histogram is roughly symmetric.
b. the histogram appears to depict a normal distribution. the frequencies generally decrease to a minimum and then increase.
c. the histogram appears to depict a normal distribution. the frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric.
d. the histogram does not appear to depict a normal distribution. the frequencies generally increase and the histogram is roughly symmetric.

Explanation:

Step1: Recall normal distribution properties

A normal - distribution histogram is roughly symmetric and frequencies increase to a maximum and then decrease.

Step2: Analyze each option

Option A: Frequencies decrease to a minimum and then increase, not normal.
Option B: Frequencies decrease to a minimum and then increase, not normal.
Option C: Frequencies increase to a maximum and then decrease, and it is roughly symmetric, which is characteristic of a normal distribution.
Option D: Frequencies generally increase and the histogram is roughly symmetric, but this is not the correct pattern for a normal distribution (should increase - maximum - decrease).

Answer:

C. The histogram appears to depict a normal distribution. The frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric.