Question

here are the shopping times (in minutes) for each of fifteen shoppers at a local grocery store. 29 19 29 31 29 24 28 22 21 26 18 30 37 23 33 (a) complete the grouped - frequency distribution for the data. (note that the class width is 5.) shopping times (in minutes) frequency 18 to 22 23 to 27 28 to 32 33 to 37 (b) construct a histogram for the data. shopping times (in minutes) 18 to 22 23 to 27 28 to 32 33 to 37 frequency

Explanation:

Step1: Count data in 18 - 22

Count numbers from 18 to 22 in the data set. The numbers are 18, 18, 22. So the frequency is 3.

Step2: Count data in 23 - 27

Count numbers from 23 to 27. The numbers are 23, 23, 26, 21. So the frequency is 4.

Step3: Count data in 28 - 32

Count numbers from 28 to 32. The numbers are 28, 28, 30, 31, 32. So the frequency is 5.

Step4: Count data in 33 - 37

Count numbers from 33 to 37. The numbers are 33, 33, 37. So the frequency is 3.

Answer:

Shopping times (in minutes)	Frequency
23 to 27	4
28 to 32	5
33 to 37	3

For part (b), to construct a histogram:

1. On the x - axis, label the intervals 18 - 22, 23 - 27, 28 - 32, 33 - 37.
2. On the y - axis, label the frequency values from 0 to 5 (since the highest frequency is 5).
3. For the interval 18 - 22, draw a bar with height 3.
4. For the interval 23 - 27, draw a bar with height 4.
5. For the interval 28 - 32, draw a bar with height 5.
6. For the interval 33 - 37, draw a bar with height 3.