Problem

Here are the shopping times (in minutes) for each of sixteen shoppers at a local grocery store.
Unknown environment 'tabular'
(a) Complete the grouped frequency distribution for the data. (Note that the class width is 4 .)
Unknown environment 'tabular' \
16 to 19 \
20 to 23 \
24 to 27 \
28 to 31 \
32 to 35 \
\hline
\end{tabular}
(b) Construct a histogram for the data.

Answer

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Answer

To construct a histogram for the data, use the intervals as the x-axis and the frequencies as the y-axis. Each interval is represented by a bar, and the height of the bar corresponds to the frequency of that interval. The x-axis would have the intervals (16-19, 20-23, 24-27, 28-31, 32-35). The y-axis would have the frequencies (3, 1, 3, 5, 4). There would be a bar for each interval, with the height of the bar corresponding to the frequency. For example, the bar for the interval 28-31 would be the tallest, since it has the highest frequency of 5.

Steps

Step 1 :Count the number of shopping times that fall into each of the given intervals. The counts are as follows: 16 to 19:3, 20 to 23:1, 24 to 27:3, 28 to 31:5, 32 to 35:4

Step 2 :Complete the grouped frequency distribution with the counts. The completed grouped frequency distribution is: Unknown environment 'tabular' & Frequency \ \hline 16 to 19 & 3 \ 20 to 23 & 1 \ 24 to 27 & 3 \ 28 to 31 & 5 \ 32 to 35 & 4 \ \hline \end{tabular}

Step 3 :To construct a histogram for the data, use the intervals as the x-axis and the frequencies as the y-axis. Each interval is represented by a bar, and the height of the bar corresponds to the frequency of that interval. The x-axis would have the intervals (16-19, 20-23, 24-27, 28-31, 32-35). The y-axis would have the frequencies (3, 1, 3, 5, 4). There would be a bar for each interval, with the height of the bar corresponding to the frequency. For example, the bar for the interval 28-31 would be the tallest, since it has the highest frequency of 5.

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