Name_______________________

Date______________ Period____

 

Final Assessment for Statistics and Graphing Unit

 

Part I

 

Define the following terms:

 

Distribution

 

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Histogram 

 

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Horizontal Axis 

 

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Mean 

 

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Median 

 

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Mode

 

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Data

 

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Measure of Center

 

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Range

 

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Statistics

 

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Part II

 

          Given the three situations, select two.  Determine the best graphical representation for the situations.  Construct the graphical representation and describe why you chose the method.  All representations must contain the appropriate titles, labels, and legends.

 

 

A.        Our parking lot has 125 parking spaces.  George and Mickey went out to do a survey of the parking lot and found these numbers of cars:

 

BMW              10            Chevrolet         18            Dodge              8            Ford                 26

Honda              22            Jaguar              3             Lincoln              4            Renault               5

Subaru             12            Volvo               8

 

 

 

 

 

 

 

 

 

 

 

B.         Forbes magazine published data on the best small firms in 1993. These were firms with annual sales of more than five and less than $350 million. Firms were ranked by five-year average return on investment. The data below are the age and annual salary of the chief executive officer (CEO) for the 24 ranked firms.

Show a visual representation of the ages of the CEO’s compared to the median salary for each age group.

  

The Data:   (All salaries are given in thousands of dollars)

 

AGE     Salary               AGE     Salary               AGE     Salary               AGE    Salary

 

 53         145                  55         424                  55         736                  55        498

 50         643                  51         368                  50         343                  50        536

 50         543                  58         217                  53         298                  57      1103

 53         406                  56         204                  58           21                  51        536

 50         291                  56         350                  59         296                  57        317

 56           80                  50         200                  56         282                  52        250

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

C.        The bark of some tropical trees seems to offer protection from termites. If we could reproduce the protective ingredient from the bark, the trees that produce the resin might become a valuable resource.  Experimenters investigated the effects of these tree resins on termites. The resin is dissolved in a solvent and laced on filter paper. Eight dishes are set up with 25 termites in each dish. The termites are fed paper containing the resin and a daily count is made of the number of termites surviving. Fifteen (15) days were observed, but no observations were made on days 3 and 9 because they were Sundays.

 

The Data:

DAY

Dish    dose      1        2        4        5        6        7        8         10       11      12       13     14      15

 

 

  1       5           25      25      22      19      18      17      14         13      11      11       8        8        5

  2       5           25      25      23      20      17      16      15         15      13      11      11      10       9

  3       5           25      25      24      23      22      20      19         16      15      11       9        7        6

  4       5           25      25      23      19      17      16      14         12      12      11      11      11      10

 

            Create a visual representation of the data.  Include all of the proper titles, labels and legends as appropriate for the representation that you choose.

            Also find the mean, median and mode for the data and determine the best measure of center for this set.