Assignment- Data: Description, Collection, and Sampling
1. A study was conducted of the 12-month earnings per share for two categories of airline companies, with the result shown in the chart below.
Based on the data, which of the following statements is correct?
|
Large Airlines
|
Small Airlines
|
|
$4.36
|
$1.60
|
|
6.19
|
-1.98
|
|
-0.42
|
1.03
|
|
3.73
|
-0.21
|
|
0.26
|
-1.15
|
|
6.27
|
4.19
|
|
0.59
|
|
1.52
|
|
1.97
|
|
4.57
|
|
0.05
|
A. The large airlines have a variance of 4.04, and the small airlines have a variance of 8.30.
B. The large airlines have a mean earnings per share of 3.40, and the small airlines have a standard deviation of 2.01.
C. The large airlines have a standard deviation of 2.88, and the small airlines have a standard deviation of 4.04.
D. The large airlines have a mean earnings per share of 3.40, and the small airlines have a mean earnings per share of 1.22.
2. To answer the question, refer to the following list of raw data.
63, 71, 72, 77, 77, 78, 86, 77, 88, 88
What is the median for the data?
A. 77.7
B. 77
C. 88
D. 77.5
3. Which of the following statements about interpreting standard deviation is true?
A. The Empirical Rule can't be applied unless the frequency distribution is mound-shaped and symmetric. Chebyshev's Rule can be applied to any data set, regardless of the shape of its frequency distribution.
B. Chebyshev's Rule can't be applied unless the frequency distribution is mound-shaped and symmetric. The Empirical Rule can be applied to any data set, regardless of the shape of its frequency distribution.
C. Neither the Empirical Rule nor Chebyshev's Rule can be applied to data unless the frequency distribution is mound-shaped and symmetrical.
D. Neither Chebyshev's Rule nor the Emprical Rule require any assumptions about the frequency distribution.
4. To answer the question, refer to the following list of raw data.
63, 71, 72, 77, 77, 78, 86, 77, 88, 88
What is the mean for the data?
A. 77 B. 77.5 C. 77.7 D. 88
5. Use the following data sample to answer the question.
4, 14, 6, 9, 21, 3, 7, 10
What is the variance of this data sample?
A. 243.5
B. 5.90
C. 34.79
D. 4.31
6. To answer the question, refer to the following data.
Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2, 2, 3, 4, 5, 5, 5, 5, 6
What is the standard deviation for the data values?
A. 1.44
B. 2.56
C. 1.687
D. 2.84
7. Which of the following involves inferential statistics as opposed to descriptive statistics?
A. The Alcohol, Tobacco and Firearms department reported that Houston had 1,791 registered gun dealers in 1997.
B. The city business office reported 35 building permits for new single-family housing units.
C. A local cable system, using a sample of 500 subscribers, estimates that 40 percent of its subscribers watch a premium channel at least once per day.
D. A class of 50 statistics students earned an average grade of 73.5.
8. If a great many data values cluster to the left of a data distribution, which then tails off to the right, the distribution is referred to as
A. normal.
B. leftward skewed.
C. uniform.
D. rightward skewed.
9. Given the data set 3, 6, 2, 9, -1, 0, compute ∑(x + 1)2.
A. 625
B. 25 C. 175 D. 137
10. To answer the question, refer to the following data.
Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2, 2, 3, 4, 5, 5, 5, 5, 6
What is the variance for the data values?
A. 2.844
B. 1.6
C. 1.687
D. 2.56
11. Consider the following distribution:
Which of the following would you expect?
A. The mean is less than the median, and the median is less than the mode.
B. The mean is greater than the median, and the median is greater than the mode.
C. The mean is greater than the mode, which in turn is greater than the median.
D. There's no difference in the values of the mean, median, and mode.
12. Which type of plot takes quantitative data and forms classes out of it, thus turning it into qualitative data?
A. Histogram
B. Stem-and-leaf plot
C. Pie chart
D. Dot plot
13. In a sample with mean x = 12 and standard deviation s = 3.5, a data point at 16.8 would have what sample z-score?
A. 1.4
B. We can't know the answer without knowing the population mean μ and standard deviation σ.
C. 4.8
D. 1.37
14. Use the following data sample to answer the question.
4, 14, 6, 9, 21, 3, 7, 10
What is the median of this data sample?
A. 9.25
B. 7
C. 8
D. There's no median value.
15. When creating a histogram, it's important to ensure that the classes of data satisfy which properties?
A. They must be all the same size.
B. No requirements are made; the individual creating the graph is free to choose any classes.
C. They must be mutually exclusive and exhaustive.
D. They must include each interval on the number line.
16. Use the following data sample to answer the question.
4, 14, 6, 9, 21, 3, 7, 10
What is the range of this data sample?
A. 6
B. 18
C. 10
D. 4
17. Use the following data sample to answer the question.
4, 14, 6, 9, 21, 3, 7, 10
What is the standard deviation of this data sample?
A. 243.5
B. 4.31
C. 5.90
D. 34.79
18. Which of the following are parameters of a population?
A. μ and σ
B. μ and x
C. σ and n
D. α and σ
19. Several ways to make a bar graph deceptive appear below. Which of these is sometimes used to exaggerate differences from one data value to the next?
A. Making the graph shorter than it needs to be
B. Starting the vertical axis at a point greater than zero
C. Making the graph taller than it needs to be
D. A gap in the vertical axis
20. Use the following data sample to answer the question.
4, 14, 6, 9, 21, 3, 7, 10
What is the mean of this data sample?
A. 7
B. There's no mean value.
C. 8
D. 9.25