Question

A survey was taken asking what percent of gender takes public transportation and what percent drive. The results of the survey show that out of the 16 men survey 10 drive and 6 do not, where as with women 10 drive and 4 take public transportation

Analyze the data, by hand (showing all work) using all of the appropriate descriptive technique and explain why you chose the specific techniques and explain your choice

- frequency table; cross-tabulation; graphical analysis

- mean; median, mode

- variance standard deviation

Answer 1

In this case, frequency table, cross-tabulation, and graphical analysis is going to be the best option as it doesn't make sense to calculate the mean, median, and mode for this data as it won't give us any insight.

16 men survey 10 drive and 6 do not, where as with women 10 drive and 4 take public transportation.

	Drive	Public tranportation	Total
Men	10	6	16
Women	10	4	14
Total	20	10	30

This gives us insight, the total number of people surveyed, the percentage or proportion of people using public transportation, the percentage of women or men who drives, etc. These questions can be answered using the frequency table.

The graphs here can be useful as well, it can show the change of women or men percentage in driving numbers as we will have more data about other years.