Lesson Name: Data: Description, Collection, and Sampling

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Lesson Name: Data: Description, Collection, and Sampling

1.   Consider the following distribution: https://my.pennfoster.com/exams/images/050271RR_23_distrib-curve.gif Which of the following would you expect? 

    

   A. The mean is greater than the mode, which in turn is greater than the median.

   B. The mean is less than the median, and the median is less than the mode.

   C. There's no difference in the values of the mean, median, and mode.

   D. The mean is greater than the median, and the median is greater than the mode

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

    

   A. value that appears in the center.

   B. value that appears the greatest number of times.

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

   D. average of the two end values.

3.   A particular sample contains 50 data values. According to Chebyshev's theorem, which of the following is the number of values you would expect to fall within 3.0 standard deviations of the mean? 

    

   A. 5

   B. 35

   C. 45

   D. 25

4.   Which of the following statements is true? 

    

   A. When taking a sample from the population, the variable involved will always be qualitative.

   B. The definition of a census is the decennial census of the United States of America.

   C. In a true census, no inferential statistics can be done, because the entire population is the sample.

   D. A population is the object upon which we collect data.

5.   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. 2.84

   B. 1.687

   C. 2.56

   D. 1.44

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

    

   A. Descriptive statistics

   B. Computation of a sample mean

   C. Inferential statistics

   D. Independent events

7.   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. 7

   C. 9.25

   D. 8

8.   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. 77.5

   B. 77.7

   C. 77

   D. 88

9.   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. 34.79

   C. 5.90

   D. 4.31

10.   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. A gap in the vertical axis

   C. Making the graph taller than it needs to be

   D. Making the graph shorter than it needs to be

 

11.   Consider the following chart:

https://my.pennfoster.com/exams/images/050271RR_22_chart.gif Which of the measures of central tendency would best represent that data? 

    

   A. Median

   B. Standard deviation

   C. Mode

   D. Mean

12.   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 Chebyshev's Rule nor the Emprical Rule require any assumptions about the frequency distribution.

   C. 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.

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

 

13.   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. 18

   B. 10

   C. 6

   D. 4

14.   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

15.   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 mean earnings per share of 3.40, and the small airlines have a mean earnings per share of 1.22.

   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 mean earnings per share of 3.40, and the small airlines have a standard deviation of 2.01.

   D. The large airlines have a standard deviation of 2.88, and the small airlines have a standard deviation of 4.04

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

    

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

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

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

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

17.   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. 1.37

   C. 4.8

   D. We can't know the answer without knowing the population mean μ and standard deviation σ.

 

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

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

19.   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. 5.90

   C. 243.5

   D. 34.79

20.   A population is a collection of _______ about which we will measure certain characteristics or properties, called _______. 

    

   A. data, numbers

   B. experimental units, variables

   C. people, traits

   D. individuals, sample values

Lesson Name:

Data: Description,

Collection, and

Sampling

1.

Consider the following distribution:

Whic

h of the following would you expect?

A.

The mean is greater than the mode, which in turn is greater than the median.

B.

The mean is less than the median, and the median is less than the mode.

C.

There's no difference in the values of the mean, median, and mode.

D.

The mean is greater than the median, and the median is greater than t

he mode

2.

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

A.

value that appears in the center.

B.

value that appears the greatest number of times.

C.

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

D.

average of the two end values.

3.

A particular sample contains 50 data values. According to Chebyshev's theorem,

which of the following is the number of values you would expect to fall within 3.0

standard deviations of the mean?

A.

5

B.

35

C.

45

D.

25

4.

Which of the following statements is

true?

Lesson Name: Data: Description,

Collection, and Sampling

1. Consider the following distribution:

Which of the following would you expect?

A. The mean is greater than the mode, which in turn is greater than the median.

B. The mean is less than the median, and the median is less than the mode.

C. There's no difference in the values of the mean, median, and mode.

D. The mean is greater than the median, and the median is greater than the mode

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

A. value that appears in the center.

B. value that appears the greatest number of times.

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

D. average of the two end values.

3. A particular sample contains 50 data values. According to Chebyshev's theorem,

which of the following is the number of values you would expect to fall within 3.0

standard deviations of the mean?

A. 5

B. 35

C. 45

D. 25

4. Which of the following statements is true?