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#### __D___1

###### Statistics

__D___1.  Which of the following is an example of a discreet variable?

a.  the amount of rainfall last night

b.  how much water is in a glass

c.  the percentage correct on an exam

__B___2.  A population is to a ________ as the sample is to a __________

a. statistic; parameter

b. parameter; statistic

c. qualitative variable; quantitative variable

d. None of the above

__A___3.  Qualitative variables are always measured on which type of scale?

a. nominal

b. ordinal

c. interval

d. ratio

__B___4.  Quantitative data is the same as _______________ data, and Qualitative data is the same as _____________ data.

a. categorical; measurement

b.  measurement; categorical

c.  interval; ratio

d.  ratio; interval

Use the following information to answer the next three questions:

A researcher wants to test whether psychology students have a different I.Q. than students in other majors.  She samples several FSU psychology students and tests their I.Q.  She also samples several FSU students from other majors to make the comparison.

__B___5.  The population is:

a.  FSU students

b.  Psychology students

c.  IQ scores

d. FSU psychology students

__B___6.  The independent variable is:

a.  IQ Scores

b.  College major

c.  FSU students

d. None of the above

__A___7.  The dependent variable is:

a.  IQ Scores

b.  College major

c.  FSU students

d. None of the above

Use the following information to answer the next four questions:

A researcher wants to test if alcohol impacts men and woman differently.  The researcher gives each group 18 ounces of alcohol and measures the number of orange cones they knock over during a driving test.

__D___8.  Alcohol is measured on which type of scale?

a.  Nominal

b.  Ordinal

c.  Interval

d.  Ratio

__A___9.  Alcohol is measured as a ______ variable

a. continuous

b. discreet

c. qualitative

d. None of the above

___B__10.   Measuring the number of cones knocked over is measuring a ________ variable

a. continuous

b. discreet

c. qualitative

d. None of the above

__A___11. Gender would be measured on which type of scale?

a.  Nominal

b.  Ordinal

c.  Interval

d.  Ratio

__D___12.  Which of the following could constitute a population?

a. single parents

b. depressed individuals

c. FSU students

d. All of the above

Use the following information to answer the next few questions:

X         F

10        1

11        0

12        0

13        0

14        5

15        6

16        5

17        4

__A___13.  Which value in the distribution above might be considered an outlier?

a.  10

b.  11

c.  16

d.  17

__B___14.  What shape would describe the above distribution?

a.  positive skew

b.  negative skew

c. normal

d. bi-modal

___D__ 15.  What is the mode of the above distribution?

a.  0

b.  5

c. 10

d. 15

__D___16. How many values are represented in the distribution? (N=?)

a.  5

b.  8

c. 20

d. 21

___C__17.  When we graph a grouped frequency distribution such that the bars are touching, we call it a _________ because the data is _________.

a.  Bar Chart; quantitative

b.  Bar Chart; qualitative

c. Histogram; quantitative

d. Histogram; qualitative

__C___18.  If a distribution has a mode equal to 10, a median equal to 15, and a mean equal to 20, we know that the shape of the distribution must be:

a. normal

b. negatively skewed

c. positively skewed

d. symmetric

__D___19. What scale type is the only one where ratio statements (like “Ronda ran twice as fast as Larry) have any meaning and are valid.

a.  Nominal

b.  Ordinal

c.  Interval

d.  Ratio

___C__20.  If you take out a number from a distribution, what measure of central tendency is certain to change?

a.  Mode

b.  Median

c.  Mean

d.  They all must change

Part II: Computation.  Show your work wherever possible for partial credit!!!

Use the following data to answer the next three questions:

30        20        22        35        21        29        38        32        15        19            22

1.  What is the median for the data set?                     ____22______ (2 points)

2.  What is the mode for the data set?                                    ____22______ (1 point)

3.  What is the mean for the data set?                                    _____25.73_____ (2 points)

283/11 = 25.73

Use the following data to answer the next 5 questions:

X         Y

1          0

5          -2

5          1

7          5

4.  Compute ΣX                                                                                              (2 points)

1+5+5+7 = 18

5. Compute ΣX2                                                                                                                                             (2 points)

1+25+25+49 = 100

6.  Compute Σ(X-Y)                                                                                       (2 points)

18 – 4 = 14

7.  Compute ΣXY-2                                                                                        (2 points)

0 + -10 +5 + 35 = 30 – 2 = 28

Use the following data to complete the grouped frequency distribution below.  Each value represents the time it took to complete a math problem.                                              (12 points)

2.14     18.29   17.65   3.94     4.32     12.65   19.11   7.33     11.92   6.71            8.11     14.15

3.01     12.24   15.69   8.12     6.88     9.15     10.02   11.13   13.45   17.08            1.24     12.59   7.96

Real                 Class                                        Cumulative       Relative            Cumulative

Limits               Interval             MP       F          Frequency         Percent             Rel. Percent

-.5 - 4.5            0-4                   2          5                5                20                                20

4.5 – 9.5           5-9                   7          7               12               28                                48

9.5 – 14.5         10-14                12        8                20              32                                80

14.5 – 19.5       15-19                17        5                 25             20                                100

9.  How many took 5-9 minutes? 7                                                                                (1 point)

10.  What percentage took 10-14 minutes? 32%                                                             (1 point)

11.  How many completed the puzzle in 14.5 minutes or less?  20                                   (1 point)

12.  What percentile is associated with a time of 9.5 minutes?    48th                              (1 point)

13.  What time is associated with the 80th percentile?     14.5                                             (1 point)

End of Exam