(a) complete the grouped frequency distribution for the data. (note that the class width is 6.)\nshopping…
(a) complete the grouped frequency distribution for the data. (note that the class width is 6.)\nshopping times (in minutes) frequency\n14.5 - 20.5 \n20.5 - 26.5 \n26.5 - 32.5 \n32.5 - 38.5 \n(b) construct a histogram for the data.\nfrequency
Answer
Explanation:
Step1: Count data in 14.5 - 20.5
The numbers in this range are 17, 18, 15. So the frequency is 3.
Step2: Count data in 20.5 - 26.5
The numbers are 26, 21, 21, 25, 23. The frequency is 5.
Step3: Count data in 26.5 - 32.5
The numbers are 30, 32, 27, 31, 28. The frequency is 5.
Step4: Count data in 32.5 - 38.5
The numbers are 34, 37, 35, 38. The frequency is 4.
Answer:
| Shopping times (in minutes) | Frequency |
|---|---|
| 14.5 - 20.5 | 3 |
| 20.5 - 26.5 | 5 |
| 26.5 - 32.5 | 5 |
| 32.5 - 38.5 | 4 |
For part (b), to construct a histogram:
- On the x - axis, label the intervals 14.5 - 20.5, 20.5 - 26.5, 26.5 - 32.5, 32.5 - 38.5.
- On the y - axis, label the frequency from 1 to 7.
- Draw bars with heights corresponding to the frequencies calculated above for each interval.