The frequency table and the histogram of the given employee data is attached below.
Histogram:
Histogram means a graphical representation of a grouped frequency distribution with continuous classes.
Given,
The following are distances (in miles) traveled to the workplace by 22 employees of a certain computer company.
7, 2, 37, 32, 27, 22, 16, 11, 6, 1, 36, 31, 25, 20, 34, 34, 29, 29, 29, 24, 24, 9
Here we need to draw the histogram for these given data using an initial class boundary of 0.5, an ending class boundary of 45.5, and 5 classes of equal width.
First create a grouped frequency distribution table
7,2,37,32,27,22,16,11,6,1,36,31,25,20,34,34,29,29,29,24,24,9
While we looking into the data, we have identified that the minimum value is 1 and maximum value is 37.
For each value draw a tally mark, next to the class in which this value exists. And then Count tally marks to determine the total frequency of each class.
Then we get the class table, like the following.
After the class table, we have to draw histogram, for that we first prepare the frequency distribution with boundary points, with central value of each class, then we get the following frequency table.
After all these the histogram is drawn as follows.
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