Question

here are the shopping times (in minutes) for each of fifteen shoppers at a local grocery store.
shopping times (in minutes)
34 24 29 33 27
35 31 24 36 18
24 26 37 32 20
send data to calculator
(a) complete the grouped frequency distribution for the data. (note that the class width is 5 )
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.
frequency
6
5
4
3
2
1
0
shopping times (in minutes)

Explanation:

Step1: Count data in first class

Count numbers in 17.5 - 22.5. We have 18, 20. Frequency is 2.

Step2: Count data in second class

Count numbers in 22.5 - 27.5. We have 24, 24, 24, 26, 27. Frequency is 5.

Step3: Count data in third class

Count numbers in 27.5 - 32.5. We have 29, 31, 32. Frequency is 3.

Step4: Count data in fourth class

Count numbers in 32.5 - 37.5. We have 33, 34, 35, 36, 37. Frequency is 5.

Answer:

Class Interval	Frequency
22.5 - 27.5	5
27.5 - 32.5	3
32.5 - 37.5	5

(Note: Drawing the frequency - polygon is a visual task that cannot be fully represented in this text - based format. But to draw it, you would plot the mid - points of each class interval on the x - axis and the frequencies on the y - axis and connect the points with straight lines.)