Question

sixteen cyclists were each asked the number of miles they biked last week. their responses are given below.
number of miles
17
6
3
10
11
15
14
0
10
13
5
2
7
16
0
10
(a) complete the grouped frequency distribution for the data. (note that the class width is 4.)
0 to 3
4 to 7
8 to 11
12 to 15
16 to 19

(b) construct a histogram for the data.

Explanation:

Step1: Count the frequency for each class

• For the class \(0 - 3\): The values in this range are \(0\). Count the number of \(0\)'s. There are \(2\) values (\(0\) and \(0\)).
• For the class \(4 - 7\): The values in this range are \(5,6,3,7\). So the frequency is \(4\).
• For the class \(8 - 11\): The values in this range are \(10,10,11\). So the frequency is \(3\).
• For the class \(12 - 15\): The values in this range are \(13,15,14\). So the frequency is \(3\).
• For the class \(16 - 19\): The values in this range are \(17,16\). So the frequency is \(2\).

Answer:

The frequencies for the classes \(0 - 3\), \(4 - 7\), \(8 - 11\), \(12 - 15\), \(16 - 19\) are \(2\), \(4\), \(3\), \(3\), \(2\) respectively.