Question
DATA205 Introductory Analytics (QC)
Quiz 2 Chapters 3-4
Question 1As a measure of central tendency, the mode can be
used with?
Answers:
a. ?all of these choices are correct.
b. ?interval-ratio data.
c. ?ordinal data.
d. ?nominal data.
Question 2For ordinal level variables, the most appropriate
measure of central tendency is generally
Answers:
a. the mode.
b. the median.
c. the mean.
d. None of the above
Question 3For variables measured at the interval-ratio level,
the preferred measure of central tendency would be the
Answers:
a. decile.
b. mean.
c. mode.
d. quartile.
Question 4If a distribution of test scores has a mean of 70
and a median of 63, the distribution has
Answers:
a. a few very low scores.
b. a mode of 67.
c. a positive skew.
d. a negative skew.
Question 5If one has data measured at the interval-ratio
level, they can use which measure of central tendency??
Answers:
a. ?mean
b. ?you can use any measure on interval-ratio data
c. ?median
d. ?mode
Question 6If the scores of an even number of cases are
arranged from high to low, the median is
Answers:
a. the middle score.
b. the same as the mode.
c. exactly halfway between the two middle values.
d. the average of the highest and lowest scores.
Question 7If you changed ONLY the highest score in a
distribution of 5 scores, which of the following measure of central
tendency would be affected?
Answers:
a. The mean
b. The median
c. The mode
d. All of the above
Question 8In a campaign debate over the level of prosperity
in the state, the incumbent governor says: “average income is
$53,000.” His opponent responds “the average citizen earns only
$38,000.” Both statements are true. This is possible because
Answers:
a. the opponent is using the mean.
b. the opponent is using the mode.
c. the governor is citing the median.
d. the governor is using the mean.
Question 9 In a small seminar class, there were eight
Protestants, four Catholics, three Jews, two Muslims, a Buddhist,
and seven students with no religious affiliation (“Nones”). The
mode for this variable is
Answers:
a. undefined since the variable is nominal in level of
measurement.
b. Protestant.
c. eight.
d. the same as the median.
Question 10
In any distribution, the mean and the median will have the
same value when the distribution is
Answers:
a. symmetrical.
b. positively skewed.
c. negatively skewed.
d. All of the above
Question 11 Income distributions almost always have a
positive skew (since there are only a few very wealthy people).
Therefore, the preferred measure of central tendency for this
variable would be the
Answers:
a. mode.
b. median.
c. mean.
d. None of the above
Question 12 The expression Σ(Xi) directs us to find the
Answers:
a. median.
b. middle score.
c. average of the scores.
d. sum of the scores.
Question 13The median cannot be found for variables measured
at the nominal level because
Answers:
a. there is no central tendency.
b. the distribution is skewed.
c. the scores cannot be ranked or ordered.
d. all of the cases are representative.
Question 14A “good” measure of dispersion should
Answers:
a. use all scores in a distribution.
b. describe the average or typical deviation of the scores.
c. be easy to calculate and interpret.
d. All of the above
Question 15Measures of dispersion provide information about
the
Answers:
a. typical or most common score.
b. size of the sample.
c. variety within the distribution of scores.
d. adequacy of the selection criteria for the sample.
Question 16If a distribution of scores has a mean of 30 and a
range of 0
Answers:
a. there is no dispersion in the distribution.
b. the standard deviation is 1.
c. the quartile deviation (Q) is 10.
d. the variance is 30.
Question 17If a variable is interval-ratio in level of
measurement, the preferred measure of dispersion would be
Answers:
a. the percentile.
b. the mean.
c. the standard deviation.
d. the range.
Question 18If male and female college students have the same
mean GPA but the standard deviation for females is much larger, you
may conclude that
Answers:
a. males are smarter than females.
b. there is more variability among female students with
respect to GPA.
c. modal GPAs for both groups would be the same.
d. median GPAs for both groups would be the same.
Question 19 One problem with the range (R) as a measure of
dispersion is that it
Answers:
a. ignores the most extreme scores.
b. can be used only for nominal level variables.
c. is very difficult to calculate.
d. is based on only the most extreme scores.
Question 20Since computation of the standard deviation
requires addition, division, and other mathematical operations, it
should be used for
Answers:
a. interval-ratio level variables.
b. non-continuous variables at any level of measurement.
c. nominal level variables.
d. discrete variables only.
Question 21The expression Σ instructs us to
Answers:
a. subtract the mean from each score and add up the
deviations.
b. subtract every “ith” score from the mean.
c. sum the scores and then subtract the mean.
d. sum the scores.
Question 22The greater the skew of a distribution of scores,
Answers:
a. the lower the value of the standard deviation.
b. the higher the value of the standard deviation.
c. the lower the value of the range.
d. None of the above: measures of dispersion are not affected
by skew.
Question 23Which measure of dispersion is most important and
most commonly used in social science research?
Answers:
a. The average deviation
b. The standard deviation
c. The range
d. The median
Question 24Which of the following data sets shows the
greatest variability?
Answers:
a. 50, 60, 170
b. 0, 5, 9
c. 31, 33, 35
d. 9, 10, 11
Question 25Your score on the test is the same as the third
quartile (Q3). You may conclude that
Answers:
a. your score is ‘typical’ since it is the same value as the
median.
b. you scored higher than 75% of the people who took
the test.
c. the distribution of the scores is skewed.
d. you scored higher than 25% of the people who took the
test.
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