Question

Use six classes to construct a frequency distribution for the following data. Include frequencies, relative frequencies, and cumulative frequencies. This is an example in Section 2.1. Try to do it and check your results with the solution in the example. Numbers of Miles Professors Drive to Work Each Day .8 2.7 9.3 6.5 5.8 10.2 1 3.7 9.1 6.2 11 1.9 5.5 4.8 7.3 9.1 14

Answer 1

A frequency count is a measure of the number of times that an event occurs.

To compute relative frequency, one obtains a frequency count for the total population and a frequency count for a subgroup of the population. The relative frequency for the subgroup is:

Relative frequency = Subgroup count / Total count

Less than cumulative frequency distribution:

It is obtained by adding successively the frequencies of all the previous classes including the class against which it is written.

More than cumulative frequency distribution:

It is obtained by finding the cumulate total of frequencies starting from the highest to the lowest class.

Arrange data in increasing order

1.0 1.4 2.7 3.7 3.8 4.6 5.5 5.8 6.2 6.5 7.0 7.3 9.1 9.1 9.3 10.2 11.0 11.9

Total there are 18 data points