Questions are in the field of statistics for business set 1

1. Given the data set 3, 6, 2, 9, –1, 0, compute Σ(x + 1)2.

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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. 77.5

B. 88

C. 77.7

D. 77

 

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. Neither the Empirical Rule nor Chebyshev’s Rule can be applied to data unless the frequency distribution is mound-shaped and symmetrical.

C. Neither Chebyshev’s Rule nor the Emprical Rule require any assumptions about the frequency distribution.

D. 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.

 

4. 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. 1.6

B. 2.844

C. 1.687

D. 2.56

 

5. 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                     Small

Airlines                                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 mean earnings per share of 3.40, and the small airlines have a standard deviation of 2.08.

B. The large airlines have a variance of 4.04, and the small airlines have a variance of 8.30.

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.

 

                Note: Answer A seems to be the closest, but the values listed do not exactly match the actual   values. The actual values are:

 

                                                                Large Airlines     Small Airlines

                Mean                                    3.3983                   1.1073

                Standard deviation          2.8811                   2.0101

                Variance                              8.3007                   4.0404

 

6. Which of the following involves inferential statistics as opposed to descriptive statistics?

A. A class of 50 statistics students earned an average grade of 73.5.

B. 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.

C. The city business office reported 35 building permits for new single-family housing units.

D. The Alcohol, Tobacco and Firearms department reported that Houston had 1,791 registered gun dealers in 1997.

 

7. 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. 4.31

B. 243.5

C. 5.90

D. 34.79

 

8. If there are an odd number of data values in a set, the median will be the

A. average of all of the values divided by the number of values in the set.

B. value that appears in the center.

C. value that appears the greatest number of times.

D. average of the two end values.

 

9. Which type of plot takes quantitative data and forms classes out of it, thus turning it into qualitative

data?

A. Pie chart

B. Dot plot

C. Histogram

D. Stem-and-leaf plot

 

10. 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 mode for the data?

A. 88

B. 77.5

C. 77

D. 77.7

 

11. 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. 88

B. 77.7

C. 77.5

D. 77

 

12. 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. Starting the vertical axis at a point greater than zero

B. Making the graph taller than it needs to be

C. Making the graph shorter than it needs to be

D. A gap in the vertical axis

 

13. When obtaining data by _______ it’s most important to inquire about the purposes of the original

experimenter.

A. conducting a survey

B. reading a published source

C. collecting data observationally

D. performing a designed experiment

 

14. Which of the following statements is true about a stem-and-leaf plot?

A. It uses vertical bars to illustrate a probability distribution.

B. It separates data at the decimal point, creating horizontal rows whose values are close together.

C. Stem-and-leaf plots are histograms whose bars have been arranged in decreasing order of frequency.

D. It involves creating columns of dots, one for each datum in the sample.

 

15. 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. uniform.

B. rightward skewed.

C. leftward skewed.

D. normal.

 

 

16. 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. There’s no mean value.

B. 9.25

C. 7

D. 8

 

17. When a sample is taken from a larger population, this suggests that which of the following will be used?

A. Independent events

B. Descriptive statistics

C. Computation of a sample mean

D. Inferential statistics

 

18. A population is a collection of _______ about which we will measure certain characteristics or

properties, called _______.

A. people, traits

B. individuals, sample values

C. data, numbers

D. experimental units, variables

 

19. 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. There’s no median value.

B. 8

C. 7

D. 9.25

 

 

20. What is the difference between a histogram and a bar chart?

A. A histogram and a bar chart both reflect qualitative data.

B. A histogram reflects qualitative data, while the bar chart represents quantitative data.

C. The adjacent rectangles in a bar chart have a gap, while those for a histogram don’t.

D. The adjacent rectangles in a histogram have a gap, while those for a bar chart don’t.