Deck 3: Measures of Central Tendency

Question 1

The median of a distribution is

A)the middlemost point.
B)the most frequent value that occurs.
C)the most extreme point.
D)none of the above

Answer 1

the middlemost point.

Question 2

In a positively skewed distribution:

A)the mean lies toward the low-score values.
B)the mean lies toward the high-score values.
C)the mean is equal to 0.
D)the median is equal to 0.

Answer 2

the mean lies toward the high-score values.

Question 3

A distribution with a mean = 25, median = 22.5, and mode = 20, is said to be:

A)positively skewed.
B)negatively skewed.
C)symmetrical.
D)bi modal.

Answer 3

positively skewed.

Question 4

A distribution with an equal mean, median, and mode is said to be:

A)bimodal.
B)trimodal.
C)skewed.
D)symm etrical.

Question 5

The sum of all deviations below the mean is equal in absolute value to:

A)the pivot point.
B)the variance.
C)the sum of all deviations above the mean.
D)t he median.

Question 6

A group of friends enjoys playing miniature golf together. Here are a set of final scores
From a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
What is the median?

A)54
B)5
C)3
D)65

Question 7

Deviation refers to:

A)the distance of any score from the mean.
B)the number of scores not equal to the mean.
C)the variance between scores.
D)none of the above

Question 8

In a negatively skewed distribution:

A)the mean lies toward the low-score values.
B)the mean lies toward the high-score values.
C)the mean is equal to 0.
D)the median is equal to 0.

Question 9

A group of friends enjoys playing miniature golf together. Here are a set of final scores
From a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
What is the mean?

A)49
B)50.78
C)52.35
D)58

Question 10

Which is NOT a measure of central tendency?

A)mean
B)mode
C)standard deviation
D)m edian

Question 11

As a measure of central tendency, the mean:

A)is applicable to all levels of measurement.
B)will always end in a whole number.
C)can often be used for more advanced statistical operations.
D)is unaffected by extreme scores.

Question 12

Which measure of central tendency is most appropriate for a skewed distribution?

A)the mean
B)the median
C)the mode
D)a and b

Question 13

A useful analogy to the mean is

A)the most frequent value.
B)the lever and fulcrum (teeter totter).
C)the middle of the highway.
D)the milk chocolate between the white and dark.

Question 14

In terms of the mean, which type of distribution of golf scores (lower scores are better)
Would be most desirable to players ?

A)bimodal
B)unimodal
C)positively skewed
D)negat ively skewed

Question 15

In terms of the mean, which type of distribution of final grades would be most desirable to
Students?

A)bimodal
B)unimodal
C)positively skewed
D)negat ively skewed

Question 16

A group of friends enjoys playing miniature golf together. Here are a set of final scores
From a recent outing:
39, 41, 44, 50, 54, 56, 56, 56, 61
What is the mode?

A)61
B)3
C)56
D)No ne

Question 17

In a bimodal distribution of scores, there are 2:

A)means.
B)low points (valleys).
C)high points (humps as on a camel's back).
D)m edians.

Question 18

Which measure(s) of central tendency can be applied to nominal data?

A)the mean
B)the median
C)the mode
D)both a and b

Question 19

The following values represent the amount of dollars 10 people have in their wallets:
10, 12, 19, 5, 6, 8, 1,13, 4, 7
What is the mean?

A)9
B)6.82
C)8.5
D)7.72

Question 20

The following values represent the amount of dollars 10 people have in their wallets:
10, 12, 19, 5, 6, 8, 1,13, 4, 7
What is the median?

A)7
B)8
C)15
D)7.5

Question 21

For the following set of data, calculate the mode, median, and mean: {24, 95, 72, 24, 57}

Question 22

In a __________ distribution, the median usually falls somewhere between the mean and
the mode.

Question 23

Variability refers to:

A)the number of scores in a sample.
B)the precision of the sample mean.
C)the spread of the sample scores.
D)none of the above

Question 24

Values that can summarize a set of data into a single number are called measures of
__________.

Question 25

__________ variables can only use one measure of central tendency, the mode.

Question 26

A distribution can only have one mode.

Question 27

The median is used for variables measured at the __________ and __________ levels.

Question 28

A variable's level of measurement determines which measures of central tendency one can
use.

Question 29

The mean as a measure of central tendency is used for variables measured at the
__________ level.

Question 30

If the mean is smaller than the mode, the distribution is __________ skewed.

Question 31

A __________ frequency distribution has two equal modes.

Question 32

A team of social workers studies racism in voters on a 1 to 5 scale, where 1 is the least and 5
is the most. Calculate the mode, median and mean from the table below:

Question 33

The mode can be applied to any set of data at the nominal, ordinal, or interval level of
measurement.

Question 34

In a symmetrical unimodal distribution, the mode, median, and mean are all __________.

Question 35

The median is most appropriate for displaying a distribution that is highly __________.

Question 36

The mathematical symbol for mean or average is __________.

Question 37

The mean cannot be meaningfully calculated for nominal variables, such as gender.