Questions: Here are the shopping times (in minutes) for each of fifteen shoppers at a local grocery store. Shopping times (In minutes) 28 33 37 26 24 21 29 22 30 18 19 29 31 29 23 Send data to calculator (a) Complete the grouped frequency distribution for the data. (Note that the class width is 5.) Shopping times (in minutes) Frequency 17.5 to 22.5 22.5 to 27.5 27.5 to 32.5 32.5 to 37.5 (b) Using the classes from part (a), draw the frequency polygon for the data. Note that you can add or remove classes from the figure. Label each class with its midpoint.

Here are the shopping times (in minutes) for each of fifteen shoppers at a local grocery store. Shopping times (In minutes) 28 33 37 26 24 21 29 22 30 18 19 29 31 29 23 Send data to calculator (a) Complete the grouped frequency distribution for the data. (Note that the class width is 5.) Shopping times (in minutes) Frequency 17.5 to 22.5 22.5 to 27.5 27.5 to 32.5 32.5 to 37.5 (b) Using the classes from part (a), draw the frequency polygon for the data. Note that you can add or remove classes from the figure. Label each class with its midpoint.
Transcript text: Here are the shopping times (in minutes) for each of fifteen shoppers at a local grocery store. \begin{tabular}{|c|c|c|c|c|} \hline \multicolumn{5}{|c|}{\begin{tabular}{c} Shopping times \\ (In minutes) \end{tabular}} \\ \hline 28 & 33 & 37 & 26 & 24 \\ \hline 21 & 29 & 22 & 30 & 18 \\ \hline 19 & 29 & 31 & 29 & 23 \\ \hline \end{tabular} Send data to calculator (a) Complete the grouped frequency distribution for the data. (Note that the class width is 5.) \begin{tabular}{|cc|} \hline \begin{tabular}{c} Shopping times \\ (in minutes) \end{tabular} & Frequency \\ \hline 17.5 to 22.5 & $\square$ \\ 22.5 to 27.5 & $\square$ \\ 27.5 to 32.5 & $\square$ \\ 32.5 to 37.5 & $\square$ \\ \hline \end{tabular} (b) Using the classes from part (a), draw the frequency. polygen for the data. Note that you can add or remove classes from the figure. Label each class with its midpoint.
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Solution

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Solution Steps

Step 1: Organize the Data

List the given shopping times in ascending order: 18, 19, 20, 21, 22, 23, 24, 28, 29, 29, 29, 31, 32, 33, 37

Step 2: Define the Class Intervals

Determine the class intervals with a width of 5:

  • 17.5 to 22.5
  • 22.5 to 27.5
  • 27.5 to 32.5
  • 32.5 to 37.5
Step 3: Tally the Frequencies

Count the number of shopping times in each class interval:

  • 17.5 to 22.5: 6 (18, 19, 20, 21, 22, 23)
  • 22.5 to 27.5: 1 (24)
  • 27.5 to 32.5: 6 (28, 29, 29, 29, 31, 32)
  • 32.5 to 37.5: 2 (33, 37)

Final Answer

The frequency distribution is:

  • 17.5 to 22.5: 6
  • 22.5 to 27.5: 1
  • 27.5 to 32.5: 6
  • 32.5 to 37.5: 2
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