Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits.

minimum = 8, maximum = 79, 7 classes
The class width is 11 (Type a whole number.)
Use the minimum as the first lower class limit, and then find the remaining lower class limits.

Answer 1

To calculate class width for 7 classes with a range of 71, divide the range by the number of classes and round up to get 11. Lower class limits start at 8 and increase by the class width.

Step-by-step explanation:

To determine the class width, lower class limits, and upper class limits for the given dataset with a minimum of 8 and a maximum of 79 divided into 7 classes, we first calculate the range by subtracting the minimum from the maximum (79 - 8 = 71). With 7 classes, we take the range (71) and divide by the number of classes (7) to determine the approximate class width. Since class width should be a whole number for easier interpretation, we round up if necessary.

Class width = Range / Number of classes = 71 / 7 = 10.14

Always round up to avoid leaving out any data, so our class width is 11. With the class width determined, we can find the lower class limits by starting at the minimum and adding the class width to find the subsequent lower limits. The lower class limits are: 8, 19, 30, 41, 52, 63, and 74.

To find the upper class limits, we add one less than the class width to each lower class limit, since we do not want to include the upper boundary in the interval. The upper class limits are: 18, 29, 40, 51, 62, 73, and 84.