Franchise # U.S. Locations, 2011

Hampton Inns 1,864

ampm 3,183

McDonald's 32,805

7-Eleven Inc. 37,496

Supercuts 2,130

Days Inn 1,877

Vanguard Cleaning Systems 2,155

Servpro 1,572

Subway 34,871

Denny's Inc. 1,668

Jan-Pro Franchising Intl. Inc. 12,394

Hardee's 1,901

Pizza Hut Inc. 13,281

Kumon Math & Reading Centers 25,199

Dunkin Donuts 9,947

KFC Corp. 16,224

Jazzercise Inc. 7,683

Anytime Fitness 1,618

Matco Tools 1,431

Stratus Building Solutions 5,018

Entrepreneure magazine ranks franchises using performace measures such as growth rate, number of locatins, sartup costs, and financial stability. The numbers of loations in the US for the top 20 US franchise are shown on the left.

1) What type is the variable "# of locations"?

2) How many elements are the data collected for?

3) How many observatios in the data?

4) The maximum number of locations in the data

5) The minimum number of locations in the data

6) Construct a frequency distribution using the classes specified below (the upper limit should be included and the lower limit not) (Keep two decimals for the relative frequencies)

# of locations Frequency Relative Frequency Cumulative Frequency

0 up to 5000

5000 up to 10000

10000 up to 15000

15000 up to 20000

20000 up to 25000

25000 up to 30000

30000 up to 35000

35000 up to 40000

Total

7) Insert a histogram to visualize the frequency distribution Please add appropriate titles for the chart, the x axis and the y axis. The total row should not be in the chart.

8) Insert a frequency polygon below Please add appropriate titles for the chart, the x axis and the y axis. The total row should not be in the chart.

9) Insert a cumulative frequency polygon below

(use the table, graphs, or numberical measures for the following questions:)

10) What percentage of franchises have no more than 10,000 locations?

11) What is the shape of the distribution?

12) What is the average # of locations?

13) Half of the franchises have less than how many locations? (use median, percentile, quartile, the table or cumulative frequency polygon)

14) Standard deviation= (Hint, is this a popuation or a sample?, you use corresponding function to get your answer)

15) About 30% of data are less than what number? (use percentile, the table or cumulative frequency polygon)

16) About 75% of data are less than what number? (use qurtile, percentile, the table or cumulative frequency polygon)