Project #25677 - Statistics

 

 All Work must be shown

 

3) BUN count

 

The blood urea nitrogen (BUN) count of 20 randomly selected patients is given here in milligrams per deciliter (mg/dl). Construct an ungrouped frequency distribution for the data.

 

8              15           9              8              8              10

 

8              10           14           9              8              8

 

12           9              8              8              14           9             

 

9              13           13           10           12           9

 

9              13           9              8              8              10

 

 

 

6) Ages of the Vice Presidents at the time of their death

 

The ages of the Vice Presidents at the time of their deaths are listed below. Use the data to construct a frequency distribution. Use 6 classes. The data for this exercise will be used for Exercise 8, 10 and 12.          

 

90           83           80           73           70           51           68           79           70           71

 

72           74           67           54           81           66           62           63           68           70

 

66           96           78           55           60           66           57           71           60           85          

 

76           98           77           88           78           81           64           66           77           93           70

 

 

 

8) Find the relative frequency for the frequency distribution for the date in exercise 6.

 

10) Construct a histogram, frequency polygon and ogive for the data in exercize 6.

 

12) Construct a histogram, frequency polygon, and ogive, using the relative frequencies for the data in exercise 6.

 

13) Activities while driving

 

A survey of 12 drivers showed the percentage of respondents who did the following while driving. Construct a vertical bar graph and horizontal bar graph for the data.

 

Drink beverage                                                 80%

 

Talk on the cell phone                                    73

 

Eat a meal                                                           41

 

Experience road rage                                     23

 

Smoke                                                                  21

 

 

 

15) Classroom Technology

 

The number of teachers who use the types of technology in the classroom is shown. Construct a Pareto chart for the data. (Note: the respondents could select more than one category.)

 

Type                                                                      Number

 

Websites                                                             280

 

Online Games                                                   215

 

Online Videos                                                    165

 

Online images                                                   220

 

 

 

17) Space Launches

 

The data shows the number of U.S. space launches for the 10-year periods from 1960 to 2009. Construct a time series graph for the data and analyze the graph.

 

Year                                       60-69                     70-79                     80-89                     90-99                     100-109

 

Launches                             614                         247                         199                         300                         206

 

 

 

20) Career Changes

 

A survey asked if people would like to spend the rest of their careers with the present employers. Their results are shown. Construct a pie graph for the data and analyze the results.

 

Answer                                                                                Number of people

 

Yes                                                                                         660                        

 

No                                                                                          260

 

Undecided                                                                          80

 

 

 

 

 

23) Museum visitors

 

The number of museum visitors to the Railroad Museum during 24 randomly selected hours is shown here. Construct a stem and leaf plot for the data.

 

67           62           38           73           34           43           72           35

 

53           55           58           63           47           42           51           62

 

32           29           47           62           29           38           36           41

 

 

 

 

 

1) Net Worth of Wealthy People

 

The net worth (in billions of dollars) of a sample of the richest people the in United States is shown. Find the mean, median, mode, and midrange for the data.

 

59           52           28           26           19          

 

19           18           17           17           17

 

 

 

2)

 

Shark Attacks

 

The number of shark attacks and deaths over a recent 5-year period is shown. Find the mean, median, mode, and midrange for the data.

 

Attacks                 71           64           61           65           757

 

Deaths                  1              4              4              7              4

 

 

 

3)

 

Battery Lives

 

Twelve batteries were tested to see how many hours they would last. The frequency distribution is shown here.

 

Hours                                                    Frequency

 

1-3                                                          1

 

4-6                                                          4

 

7-9                                                          5                             

 

10-12                                                     1

 

13-15                                                     1

 

Find the mean and modal class.

 

 

 

7) Tornado OccurancFinfd the range, variance, and standard deviation for the data.

 

33           10           62           132         123         133         18           150         26           138

 

 

 

9)

 

Rise in Tides

 

Shown here is a frequency distribution for the rise in tides in the United States. Find the variance and standard deviation for the data

 

Rise in tide (inches)                                                         Frequency

 

12.5-27.5                                                                              6

 

27.5-42.5                                                                              3

 

42.5-57.5                                                                              5

 

57.5-72.5                                                                              8

 

72.5-87.5                                                                              6

 

87.5-102.5                                                                           2

 

10) Fuel Capacity

 

The fuel capacity in gallons for randomly selected cars is shown here. Find the variance and standard deviation for the data.

 

Class                                                      Frequency

 

10-12                                                     6

 

13-15                                                     4

 

16-18                                                     14

 

19-21                                                     15

 

22-24                                                     8

 

25-27                                                     2

 

28-30                                                     1_____

 

                                50                                                          

 

14)

 

Magazines in bookstores

 

A survey of bookstores showed the average number of magazines carried is 56, with a standard deviation of 12. The same survey showed that the average length of time each store had been in business was 6 years, with a standard deviation of 2.5 years. Which is more variable, the number of magazines or number of years?

 

15)

 

Cost of Rentals

 

A survey of car rental agencies shows that the average cost of a car rental is $0.32 per mile. The standard deviation is $0.03. Using Chebyshev’s theorem, find the range, in which at least 75% of the data will fall in.

 

17)

 

Labor Charges

 

The average labor charge for automobile mechanics is $54 per hour. The standard deviation is $4. Find the minimum percentage of data values that will fall within the range of $48 - $60. Use Chebyshev’s theorem.

 

22)

 

Exam Grades

 

Which of these exam grades has a better relative position?

 

a)      A grade of 82 on a test with x* = 85 and s = 6

 

b)      A grade of 56 on a test with x* = 60 and s = 5

 

23) NFL Salaries

 

The salaries (in millions of dollars) for 29 NFL teams for the 1999-2000 seasons are given in this frequency distribution.

 

Class Limits                                                         Frequency

 

39.9-42.8                                                              2

 

42.9-45.8                                                              2

 

45.9-48.8                                                              5

 

48.9-51.8                                                              5

 

51.9-54.8                                                              12

 

54.9-57.8                                                              3

 

a) Construct a percentile graph

 

b) Find the values that correspond to the 35th, 65th, and 85th percentile.

 

c) Find the percentile of values 44, 48, 54

 

 

 

25) Check the data for outliers.

 

a) 506, 511, 517, 514, 400, 521

 

b) 3, 7, 9, 6, 8, 10, 14, 16, 20, 12

 

 

 

26) Check the data for outliers.

 

a) 14, 18, 27, 26, 19, 13, 5, 25

 

b) 112, 157, 192, 116, 153, 129, 131

 

 

 

28)

 

Hour worked

 

The data shown here represent the number of hours that 12 part-time employees at a toy store worked during the weeks before and after Christmas. Construct two boxplots and compare the distributions.

 

Before  38           16           18           24           12           30           35           32           31           30           24           35

 

After     26           15           12           18           24           32           14           18           16           18           22           12

 

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 03/22/2014 12:00 am
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