Use the frequency distribution to complete parts (a) through (e).
a) Determine the total number of observations
b) Determine the width of each class.
c) Determine the midpoint of the second class
d) Determine the modal class (or classes)
e) Determine the class limits of the next class if an additional class were to be added
\begin{tabular}{cc}
Class & Frequency \\
$12-20$ & 1 \\
$21-29$ & 3 \\
$30-38$ & 4 \\
$39-47$ & 6 \\
$48-56$ & 6 \\
$57-65$ & 3
\end{tabular}
a) The total number of observations is 23
b) The width of each class is 9
c) The midpoint of the second class is 25
(Type an integer or a decimal.)
d) The modal class(es) is/are $\square$
(Use a hyphen to separate the limits of a class. Use a comma to separate answers Type the classes in order from smallest to largest)
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Answer
\(65 + 1 = 66\), \(66 + 9 - 1 = \boxed{74}\)
Step 1 ：\(1 + 3 + 4 + 6 + 6 + 3 = \boxed{23}\)
Step 2 ：\(20 - 12 = 8\), \(8 + 1 = \boxed{9}\)
Step 3 ：\((21 + 29) / 2 = \boxed{25}\)
Step 4 ：The modal class is the class with the highest frequency. In this case, there are two classes with the highest frequency of 6, which are 39-47 and 48-56.
Step 5 ：\(65 + 1 = 66\), \(66 + 9 - 1 = \boxed{74}\)
