The following data set shows the number of overtime hours that 12 employees worked in a month. Construct a frequency distribution, using a lower class limit of 3 and a class width of 4.

• A.
• B.
• C.
• D.

Answer: (A)

Verified step by step guidance

1. Identify the range of the data set by finding the minimum and maximum values. In this case, the minimum is 3 and the maximum is 15.
2. Determine the number of classes needed. This can be done by dividing the range by the class width and rounding up if necessary. Here, the range is 15 - 3 = 12, and with a class width of 4, we need 3 classes.
3. Construct the class intervals starting from the lower class limit of 3. The first class will be 3 to 6, the second class will be 7 to 10, and the third class will be 11 to 14. Add one more class if needed to cover the maximum value, which would be 15 to 18.
4. Count the number of data points that fall into each class interval. For example, count how many data points are between 3 and 6, then between 7 and 10, and so on.
5. Record the frequencies for each class interval in a frequency distribution table. This will show how many employees worked a certain range of overtime hours.