Questions: The table below shows the frequency distribution of the rainfall on 52 consecutive Fridays 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 24
0.20-0.39 11
0.40-0.59 3
0.60-0.79 3
0.80-0.99 8
1.00-1.19 1
1.20-1.39 2
Choose the correct histogram below.
A.
B.
C.
Transcript text: The table below shows the frequency distribution of the rainfall on 52 consecutive Fridays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?
\begin{tabular}{|c|c|}
\hline Class & Frequency \\
\hline $0-0.19$ & 24 \\
$0.20-0.39$ & 11 \\
$0.40-0.59$ & 3 \\
$0.60-0.79$ & 3 \\
$0.80-0.99$ & 8 \\
$1.00-1.19$ & 1 \\
$1.20-1.39$ & 2 \\
\hline
\end{tabular}
Choose the correct histogram below.
A.
B.
C.
Solution
Solution Steps
Step 1: Identify the frequency distribution
The table provides the frequency distribution of rainfall on 52 consecutive Fridays. The classes and their corresponding frequencies are:
0.00 - 0.19: 24
0.20 - 0.39: 11
0.40 - 0.59: 3
0.60 - 0.79: 3
0.80 - 0.99: 8
1.00 - 1.19: 1
1.20 - 1.39: 2
Step 2: Construct the histogram
To construct the histogram, plot the frequency of each class interval on the y-axis against the class intervals on the x-axis.
Step 3: Compare with given histograms
Compare the constructed histogram with the given options (A, B, and C):
Option A: The frequencies match the given data.
Option B: The frequencies do not match the given data.
Option C: The frequencies do not match the given data.