Here are the shopping times (in minutes) for each of sixteen shoppers at a local grocery store.
(a) Complete the grouped frequency distribution for the data. (Note that the class width is 4 .)
16 to 19 \
20 to 23 \
24 to 27 \
28 to 31 \
32 to 35 \
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(b) Construct a histogram for the data.
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.
Step 1 :Count the number of shopping times that fall into each of the given intervals. The counts are as follows:
Step 2 :Complete the grouped frequency distribution with the counts. The completed grouped frequency distribution is:
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.