Question

the table below shows the frequency distribution of the rainfall on 52 consecutive thursdays 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\tfrequency
0 - 0.19\t25
0.20 - 0.39\t12
0.40 - 0.59\t5
0.60 - 0.79\t1
0.80 - 0.99\t6
1.00 - 1.19\t1
1.20 - 1.39\t2
choose the correct histogram below

Explanation:

Step1: Analyze class - frequency pairs

The first class 0 - 0.19 has a frequency of 25, the second class 0.20 - 0.39 has a frequency of 12, the third class 0.40 - 0.59 has a frequency of 5, the fourth class 0.60 - 0.79 has a frequency of 1, the fifth class 0.80 - 0.99 has a frequency of 6, the sixth class 1.00 - 1.19 has a frequency of 1 and the seventh class 1.20 - 1.39 has a frequency of 2.

Step2: Match with histograms

In histogram A, the bar for the 0 - 0.19 class is the tallest (corresponding to 25), followed by a shorter bar for 0.20 - 0.39 (corresponding to 12), and then decreasing heights for the other classes which matches the given frequency - distribution.

Answer:

A.