1.      The ages of the Vice Presidents of the United States at the time of their deaths are listed below. Use the data to construct a frequency distribution. Use 6 classes. Construct a Histogram from this data.

 

90 83 80 73 70 51 68 79 70 71 72 74 67 54 81 66 62 63 68 57

66 96 78 55 60 66 57 71 60 85 76 98 77 88 78 81 64 66 77 93 70

2.      The data shows the number of calories per ounce in selected types of nuts. Construct a histogram for the data.

 

Types                                   Calories

Peanuts                160

Almonds                             170

Macadamia                        200

Pecans                                190

Cashews                             160


 

3.      The number of stories in the 13 tallest buildings in Houston are shown below. Find the range, variance, and standard deviation for the data.

 

75 71 64 56 53 55 47 55 52 50 50 50 47

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

 

Class

Frequency

Class Midpoint, xm

f*xm

f*(xm)^2

10-12

6

11

66

726

13-15

4

14

56

784

16-18

14

17

238

4046

19-21

15

20

300

6000

22-24

8

23

184

4232

25-27

2

26

52

1352

28-30

1

29

29

841

 

50

 

925

17981

 

5.      There are 6 Republican, 5 Democrat, and 4 Independent candidates. How many different ways can a committee of 3 Republicans, 2 Democrats, and 1 Independent be selected?

 

6.      The number of emergency calls that a local police department receives per 24-hour period is distributed as shown below. Construct a graph for the data

 

Number of calls X      | 10      11        12        13        14

Probability P(X)         |0.02    0.12     0.40     0.31     0.15    

 

7.      A box contains 5 pennies, 3 dimes, 1 quarter, and 1 half-dollar. A coin is drawn at random. Construct a probability distribution and a bar graph for the data.

 

                        x                                  P(x)                            

                        Penny                          5/10 = 0.50

                        Dime                           3/10 = 0.30

                        Quarter                        1/10 = 0.10

                        Half-dollar                  1/10 = 0.10

 

 

 

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