Questions: The table below shows the frequency distribution of the rainfall on 52 consecutive Mondays 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 23 0.20-0.39 13 0.40-0.59 6 0.60-0.79 2 0.80-0.99 4 1.00-1.19 1 1.20-1.39 3 Choose the correct histogram below. A. B. C. Do the data appear to have a distribution that is approximately normal? A. No, it is not symmetric. B. No it has no obvious maximum

Solution Steps

The table provides the frequency distribution of rainfall on 52 consecutive Mondays in a certain city. The classes and their corresponding frequencies are:

• 0.00 - 0.19: 23
• 0.20 - 0.39: 13
• 0.40 - 0.59: 6
• 0.60 - 0.79: 2
• 0.80 - 0.99: 4
• 1.00 - 1.19: 1
• 1.20 - 1.39: 3

To construct the histogram, plot the frequency of each class interval on the y-axis against the class intervals on the x-axis.

Compare the given histograms (A, B, and C) with the frequency distribution:

• Histogram A: Shows a high frequency for the last class interval, which does not match the given data.
• Histogram B: Shows a decreasing trend from the first class interval to the last, which matches the given data.
• Histogram C: Shows a high frequency for the first class interval and a low frequency for the rest, which does not match the given data.

Final Answer