Question

the table below shows the frequency distribution of the rainfall on 52 consecutive sundays in a certain city. use the frequency distribution to construct a histogram. do the data appear to have a distribution that is approximately normal?
class frequency
0 - 0.19 20
0.20 - 0.39 13
0.40 - 0.59 4
0.60 - 0.79 2
0.80 - 0.99 5
1.00 - 1.19 3
1.20 - 1.39 5

Explanation:

Step1: Recall normal - distribution shape

A normal - distribution histogram has a bell - shaped curve, symmetric about the mean, with most of the data in the middle and tapering off at the ends.

Step2: Analyze the given frequency distribution

The frequencies start high for the lower rainfall classes (0 - 0.19 with frequency 20), then decrease, and then have some non - zero frequencies for the higher classes.

Step3: Match with histogram options

The histogram should have a peak for the lower classes and then decrease gradually. Option A shows a histogram that starts high for the lower values of rainfall (0 - 0.19) and then decreases as the rainfall values increase, which is consistent with the given frequency distribution.

Answer:

A.