sixteen cyclists were each asked the number of miles they biked last week. their responses are given…
sixteen cyclists were each asked the number of miles they biked last week. their responses are given below.\n8 5 12 10 18 7 9 12\n2 7 8 6 5 2 13 13\n(a) complete the grouped frequency distribution for the data. (note that the class width is 4.)\nnumber of miles frequency\n0 to 3\n4 to 7\n8 to 11\n12 to 15\n16 to 19\n(b) construct a histogram for the data.
Answer
Explanation:
Step1: Count for 0 - 3
The values 2, 2 are in the 0 - 3 range. So frequency is 2.
Step2: Count for 4 - 7
The values 5, 7, 7, 6, 5 are in the 4 - 7 range. So frequency is 5.
Step3: Count for 8 - 11
The values 8, 10, 9, 8 are in the 8 - 11 range. So frequency is 4.
Step4: Count for 12 - 15
The values 12, 12, 13, 13 are in the 12 - 15 range. So frequency is 4.
Step5: Count for 16 - 19
The value 18 is in the 16 - 19 range. So frequency is 1.
Answer:
| Number of miles | Frequency |
|---|---|
| 0 to 3 | 2 |
| 4 to 7 | 5 |
| 8 to 11 | 4 |
| 12 to 15 | 4 |
| 16 to 19 | 1 |
To construct the histogram:
- For the class 0 - 3, draw a bar with height 2.
- For the class 4 - 7, draw a bar with height 5.
- For the class 8 - 11, draw a bar with height 4.
- For the class 12 - 15, draw a bar with height 4.
- For the class 16 - 19, draw a bar with height 1. The x - axis is labeled "Number of miles" and the y - axis is labeled "Frequency".