Question

b. frequency 20 15 10 5 0 6 6.1 6.2 6.3 6.4 weight (grams) c. frequency 15 10 5 0 6 6.1 6.2 6.3 6.4 weight (grams) does the histogram appear to depict data that have a normal distribution? a. the histogram appears to depict a normal distribution. the frequencies generally decrease to a minimum and then increase. b. the histogram appears to depict a normal distribution. the frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric. c. the histogram does not appear to depict a normal distribution. the frequencies generally increase and the histogram is roughly symmetric. d. 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.

Explanation:

Step1: Recall normal - distribution properties

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

Step2: Analyze the given options

Option A has frequencies decreasing to a minimum and then increasing, which is not a normal distribution. Option C says the frequencies generally increase and the histogram is symmetric, but the key is the increase - to - maximum - then - decrease pattern. Option D has frequencies decreasing to a minimum and then increasing, which is incorrect for a normal distribution. Option B correctly states that the frequencies generally increase to a maximum and then decrease, and the histogram is roughly symmetric.

Answer:

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