Question

constructing a frequency distribution and a histogram (in minutes) 27 28 16 29 30 35 33 24 34 19 18 18 31 23 31 26 (a) complete the grouped frequency distribution for the data. (note that the class width is 4.) shopping times (in minutes) frequency 15.5 - 19.5 19.5 - 23.5 23.5 - 27.5 27.5 - 31.5 31.5 - 35.5 (b) construct a histogram for the data. frequency 6 5 4 3 2 1 0 15.5 19.5 23.5 27.5 31.5 35.5 shopping times (in minutes)

Explanation:

Step1: Count data in 15.5 - 19.5

The values in this range are 16, 18, 18, 19. So the frequency is 4.

Step2: Count data in 19.5 - 23.5

The value in this range is 23. So the frequency is 1.

Step3: Count data in 23.5 - 27.5

The values in this range are 24, 26. So the frequency is 2.

Step4: Count data in 27.5 - 31.5

The values in this range are 27, 28, 29, 30, 31, 31. So the frequency is 6.

Step5: Count data in 31.5 - 35.5

The values in this range are 33, 34, 35. So the frequency is 3.

Answer:

Shopping times (in minutes)	Frequency
19.5 - 23.5	1
23.5 - 27.5	2
27.5 - 31.5	6
31.5 - 35.5	3

For constructing the histogram, you would draw bars with heights corresponding to the frequencies for each class - interval on the x - axis. For example, for the interval 15.5 - 19.5, the bar height would be 4, for 19.5 - 23.5 the bar height would be 1 and so on.