Question

the table below shows the frequency distribution of the weights (in grams) of pre - 1964 quarters.
weight (g) frequency
6.000 - 6.049 2
6.050 - 6.099 3
6.100 - 6.149 7
6.150 - 6.199 11
6.200 - 6.249 11
6.250 - 6.299 5
6.300 - 6.349 4
6.350 - 6.399 1
use the frequency distribution to construct a histogram. does the histogram appear to depict data that have a normal distribution? why or why not?
choose the correct histogram below.
a. histogram image description
b. histogram image description
c. histogram image description
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: Analyze frequency distribution

We have weight - intervals and their corresponding frequencies. A normal distribution has frequencies that increase to a maximum and then decrease symmetrically.

Step2: Check frequency trends

Looking at the frequencies: 2, 3, 7, 11, 11, 5, 4. They increase from 2 to 11 and then decrease from 11 to 4.

Step3: Evaluate symmetry

The distribution of frequencies is roughly symmetric around the middle values.

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.