Question

sixteen cyclists were each asked the number of miles they biked last week. their responses are given below. number of miles 2 12 9 19 16 5 5 14 18 10 3 19 11 3 19 17 (a) complete the grouped frequency distribution for the data. (note that the class width is 4.) (b) construct a histogram for the data.

Explanation:

Step1: Count data in 0 - 3

Count numbers like 2, 3, 3. So there are 3 data points.

Step2: Count data in 4 - 7

Count numbers like 5, 5. So there are 2 data points.

Step3: Count data in 8 - 11

Count numbers like 9, 10, 11. So there are 3 data points.

Step4: Count data in 12 - 15

Count numbers like 12, 14. So there are 2 data points.

Step5: Count data in 16 - 19

Count numbers like 16, 17, 18, 19, 19, 19. So there are 6 data points.

Answer:

0 to 3: 3, 4 to 7: 2, 8 to 11: 3, 12 to 15: 2, 16 to 19: 6.