T 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
