QUESTION 6 - 1 POINT
A small startup company wishes to know how many hours, per week, that its employees spend commuting to and from work. The number of hours for each employee are shown below. Construct a frequency table for grouped data using four classes.
\[
3,5,8,15,13,3,12,3,21,10,3,12,10,19,15,8,5,11,21,16
\]
Provide your answer below:
- Previous
Next .

Step 1 ：First, we need to find the range of the data, which is the difference between the maximum and minimum values.

Step 2 ：The maximum value in the data is 21 and the minimum value is 3.

Step 3 ：So, the range is \(21 - 3 = 18\).

Step 4 ：Next, we need to divide the range by the number of classes. In this case, we have 4 classes.

Step 5 ：So, the class width is \(18 / 4 = 4.5\). However, we usually round up to the nearest whole number for ease of interpretation, so we'll use a class width of 5.

Step 6 ：Now, we can construct the frequency table. The first class will be 3-7 (including 3 and excluding 8), the second class will be 8-12, the third class will be 13-17, and the fourth class will be 18-22.

Step 7 ：We then count the number of data points in each class. For example, the number of data points in the first class (3-7) is 5.

Step 8 ：We repeat this process for the other classes.

Step 9 ：Finally, we write down the frequency table as follows:

Step 10 ：\begin{tabular}{|c|c|}\hline Hours & Number of Employees \\hline $3.0-7.9$ & 5 \\hline $8.0-12.9$ & 6 \\hline $13.0-17.9$ & 5 \\hline $18.0-22.9$ & 4 \\hline\end{tabular}

Step 11 ：Final Answer: The frequency table is shown above with a class width of \(\boxed{5}\).