Question

A data set has values ranging from a low of 10 to a high of 50. The class width is to be 10. What's wrong with using the class limits 10-20, 21-31, 32-42, 43-53 for a frequency table with a class width of 10?

Answer 1

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What was  wrong with using the class limits 10-20, 21-31, 32-42, 43-53 for a frequency table with a class width of 10 is that the classes listed have a class width of 11.

Answer 2

Answer and Explanation :

Given : A data set has values ranging from a low of 10 to a high of 50. The class width is to be 10.

To find : What's wrong with using the class limits 10-20, 21-31, 32-42, 43-53 for a frequency table with a class width of 10?

Solution :

The frequency of a class is the number of data entries in the class.

Each class have a lower class limit and an upper class limit.

The class width of the frequency is defined as the distance between the  lower limits of consecutive classes.

Class limits 10-20, 21-31, 32-42, 43-53

Highest limit is 50 but data has 53.

According to question,

Last class limit should be 43-50 which has class width 7 not 10.

Class limit is also not continuous.