Question

number of miles
24 21 25 20 20 4
9 3 11 3 23 22
12 15 10 12 25 10
(a) complete the grouped frequency distribution for
the data. (note that the class width is 6.)
number of miles frequency
2 to 7
8 to 13
14 to 19
20 to 25
(b) construct a histogram for the data.
frequency

Explanation:

Step1: Count data in 2–7

Check each number: 4, 9? No, 3, 3. So numbers: 4, 3, 3. Count: 3.

Step2: Count data in 8–13

Numbers: 9, 11, 10, 12, 10, 12. Count: 6.

Step3: Count data in 14–19

Numbers: 15. Count: 1.

Step4: Count data in 20–25

Numbers: 24, 21, 25, 20, 20, 23, 22, 25. Count: 8.

Answer:

For "2 to 7": 3
For "8 to 13": 6
For "14 to 19": 1
For "20 to 25": 8

(For the histogram, use these frequencies: x - axis classes, y - axis frequencies 3, 6, 1, 8. Draw bars with heights 3, 6, 1, 8 for classes 2–7, 8–13, 14–19, 20–25 respectively.)