Multiple Choice
Use the frequency distribution below to find the class width and class midpoints.
2. Describing Data with Tables and Graphs
Frequency Distributions
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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.
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Verified step by step guidance1
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.
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.
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 will be 15 to 18.
Count the number of data points that fall into each class interval to determine the frequency. For example, count how many data points are between 3 and 6, then between 7 and 10, and so on.
Create the frequency distribution table by listing each class interval alongside its corresponding frequency. This will help in visualizing the distribution of overtime hours worked.
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