Problem

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}{cr} Class & Freque \\ $11-16$ & 2 \\ $17-22$ & 7 \\ $23-28$ & 7 \\ $29-34$ & 1 \\ $35-40$ & 2 \\ $41-46$ & 6 \end{tabular} a) The total number of observations is $\square$.

Solution

Step 1 :To find the total number of observations, we need to sum up all the frequencies. This can be done by adding all the values in the 'Freque' column.

Step 2 :The frequencies are [2, 7, 7, 1, 2, 6].

Step 3 :The total number of observations is the sum of these frequencies, which is 25.

Step 4 :Final Answer: The total number of observations is \( \boxed{25} \).

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