Question

2 homework
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?

choose the correct histogram below.

Explanation:

Step1: Analyze the frequency distribution

The class \(0 - 0.19\) has the highest frequency (\(25\)), followed by \(0.20 - 0.39\) (\(13\)), then \(0.40 - 0.59\) (\(6\)), \(0.60 - 0.79\) (\(2\)), \(0.80 - 0.99\) (\(2\)), \(1.00 - 1.19\) (\(3\)), and \(1.20 - 1.39\) (\(1\)).

Step2: Check the histograms

• Histogram A: The frequencies increase towards the higher - class values, which does not match our frequency distribution.
• Histogram B: The highest frequency is in the first class (\(0 - 0.19\)), then it decreases. This matches our frequency distribution (\(25>13 > 6>2 = 2>3>1\)).
• Histogram C: The frequencies do not match the given frequency distribution.

Answer:

B.