Question

(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 the number of data in each class

• For the class \(0 - 3\): The data values are \(3,2,3,1,3\). So the frequency is \(5\).
• For the class \(4 - 7\): The data values are \(7,6,7\). So the frequency is \(3\).
• For the class \(8 - 11\): The data values are \(10,10,11\). So the frequency is \(3\).
• For the class \(12 - 15\): The data value is \(14\). So the frequency is \(1\).
• For the class \(16 - 19\): The data values 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 \(5\), \(3\), \(3\), \(1\), \(2\) respectively.