Deck 4: Looking at Data: Measures of Central Tendency

Question 1

When calculating the mean, the symbol indicates.

A)dividing the scores by the total number of scores in the distribution
B)summing all the scores in the distribution
C)finding the total number of scores in the distribution
D)multiplying the sum of the scores by the total number of scores in the distribution

Answer 1

B

Question 2

The mean.

A)is the most frequently occurring score in a distribution
B)is the sum of a set of scores divided by the number of scores summed
C)is the middle score in a distribution
D)divides a distribution of scores into two equal parts

Answer 2

B

Question 3

The mean for the scores 1, 2, 2, 7 is.

A)7.0
B)2.0
C)4.5
D)3.0

Answer 3

D

Question 4

Statistics that describe the dispersion of scores around a typical score are known as measures of.

A)variability
B)uncertainty
C)central tendency
D)difference

Question 5

The sum of the deviations about the mean must equal.

A)zero
B)1.0
C)-1.0 or +1.0
D)a value that varies with the number of scores

Question 6

The sample mean is represented by.

A)Mdn
B)X
C)
D)Mn

Question 7

The sum of the differences of a set of scores about the mean of those scores is always.

A)greater than the mean itself
B)equal to the mean
C)equal to 1.0
D)equal to zero

Question 8

The symbol represents the.

A)percentile
B)class interval
C)median
D)sample mean

Question 9

Statistics that describe typical scores are referred to as measures of.

A)agreement
B)central tendency
C)variability
D)dispersion

Question 10

For the three scores 75, 80, 85, which of the following is true?

Question 11

For the three scores 7, 8, 9, what is the sum of squares?

A)8
B)2
C)0
D)Not enough

Question 12

When calculating the mean, the symbol X represents the.

A)score of a single subject
B)size of the class interval
C)median
D)mean

Question 13

The is found by calculating

A)population mode
B)population mean
C)sample mean
D)population median

Question 14

The is found by calculating.

A)mode
B)percentile
C)mean
D)median

Question 15

The value in a distribution such that an equal number of scores are above it and below it is called the.

A)mean
B)median
C)mode
D)correlation coefficient

Question 16

If a score in a distribution changes in numerical value, it will necessarily change the value of.

A)the median
B)the mean
C)the mode
D)all measures of central tendency

Question 17

All the scores in a distribution are used to obtain.

A)the mode
B)the median
C)the mean
D)all measures of central tendency

Question 18

The sum of squares for a distribution of scores is given by.

Question 19

The mean for the scores 17, 17, 19, 23, 24 is.

A)17.0
B)19.0
C)20.0
D)21.0

Question 20

The symbol μ represents the.

A)mean of a sample
B)mean of a population
C)standard deviation of a sample
D)standard deviation of a population

Question 21

The set of scores 1, 2, 2, 3, 3, 3, 4, 4, 5 forms a distribution.

A)nonmodal
B)unimodal
C)bimodal
D)multimodal

Question 22

A frequency distribution that has only one most frequently occurring score is called.

A)multimodal
B)bimodal
C)unimodal
D)modal

Question 23

The median for the scores 5, 5, 6, 8, 10, 10, 17 is.

A)10.0
B)8.0
C)7.0
D)6.0

Question 24

The median is represented by the symbol.

A)Mn
B)Mdn
C)Me
D)M

Question 25

The mode for the scores 0, 0, 1, 1, 1, 2, 2, 3, 3 is.

A)3.0
B)1.0
C)2.0
D)1.5

Question 26

The most frequently occurring score in a set of scores is called the.

A)mean
B)median
C)mode
D)percentile

Question 27

The median for the scores 0, 0, 1, 1, 2, 2, 3, 3 is.

A)0.5
B)1.0
C)1.5
D)2.5

Question 28

The set of scores 50, 51, 54, 55, 57, 59, 60, 62, 64.

A)is multimodal
B)is unimodal
C)is bimodal
D)has no mode

Question 29

In a distribution in which each score occurs only once, there will be no.

A)mode
B)median
C)mean
D)appropriate measure of central tendency

Question 30

For the set of scores 10, 20, 30, 40, 50 the median is.

A)20
B)25
C)30
D)35

Question 31

The value that corresponds to the 50th percentile point in a distribution of scores is the .

A)mode
B)median
C)arithmetic mean
D)sample mean

Question 32

The symbol typically used to indicate a mean in a journal article is.

A)
B)M
C)Mn
D)ME

Question 33

The set of scores 1, 2, 2, 2, 2, 3, 4, 5, 6, 6, 6, 6, 7, 8 is.

A)nonmodal
B)unimodal
C)bimodal
D)multimodal

Question 34

For the set of scores 1, 1, 2, 2, 3, 4, 5, 5, 6, 6 the median is.

A)3.0
B)3.5
C)4.0
D)4.5

Question 35

For a distribution in which no score occurs more than once, which of the following is true?

A)There is no mean.
B)There is no median.
C)There is no mode.
D)There is no percentile.

Question 36

The median.

A)does not exist for a bimodal distribution
B)is not affected by extreme scores in the tails of a distribution
C)is the most frequently occurring score in a distribution
D)cannot be calculated if a distribution is either positively or negatively skewed

Question 37

For the set of scores 1, 2, 3, 4, 5, 6, 7,.

A)the mean is 4.0
B)the median is 4.0
C)there is no mode
D)all the above

Question 38

Which of the following is the measure of the most frequently occurring score in a distribution of scores?

A)Arithmetic mean
B)Sample mean
C)Median
D)Mode

Question 39

Which of the following divides a frequency distribution in half?

A)Arithmetic mean
B)Sample mean
C)Median
D)Mode

Question 40

If scores are measured with a nominal scale, then the only measure of central tendency that can be used is the.

A)mode
B)median
C)mean
D)percentile

Question 41

Generally, the mean is the preferred measure of central tendency because it is.

A)more stable than the median or the mode
B)easier to calculate
C)more useful for inferential statistics
D)less affected by skewness in the distribution

Question 42

If a distribution is unimodal and symmetrical, then the.

A)mean is greater than the mode and the mode is greater than the median
B)mode and median are equal, but both are less than the mean
C)mean is less than the mode and the mode is less than the median
D)mean, median, and mode are equal

Question 43

Consider the series of scores 1, 2, 3, 4, 5, 6, 6. An additional score of 100 in this set would not affect the.

A)mean
B)median
C)mode
D)mean, median or mode

Question 44

If scores are measured on an ordinal scale, then the best measure of central tendency for the scores is the.

A)mode
B)median
C)mean
D)correlation coefficient

Question 45

Skewness in a distribution most affects the.

A)median
B)mean
C)mode
D)mean, mode and median equally

Question 46

If a distribution is severely skewed, then which measure of central tendency is preferred?

A)Median
B)Mode
C)Mean
D)None is necessarily preferred, because skewness affects each of them equally.

Question 47

The mean salary of a major league baseball player is $1,116,946, whereas the median salary is $481,250. The distribution of salary of major league baseball players is .

A)negatively skewed
B)positively skewed
C)symmetrical
D)bimodal

Question 48

The measure of central tendency most affected by extreme scores in a distribution is the .

A)mean
B)mode
C)median
D)mean, mode and median equally

Question 49

When the scores in a distribution are negatively skewed, the mean will have a value.

A)higher than the median
B)equal to the median
C)either higher or lower than the median, depending on the value of the mode
D)lower than the median

Question 50

When the scores in a distribution are positively skewed, the mean will have a value.

A)lower than the median
B)higher than the median
C)equal to the median
D)either higher or lower than the median, depending on the value of the mode

Question 51

Consider the series of scores 85, 87, 89, 91, 94, 99. An additional score of 46 in this set would most affect the.

A)mean
B)median
C)mode
D)mean, median and mode equally

Question 52

Skewness in a frequency distribution can be determined by comparing.

A)the mode and median
B)the median and mean
C)the mean and mode
D)any two of the three measures of central tendency

Question 53

Which of the following is most useful for inferential statistics?

A)Mode
B)Median
C)Percentile
D)Mean

Question 54

Consider the series of scores 1, 2, 3, 4, 5, 6, 6. An additional score of 100 in this set would most affect the.

A)mean
B)median
C)mode
D)mean, median and mode equally

Question 55

If scores are measured with an interval or ratio scale, then the preferred measure of central tendency for the scores is the.

A)mode
B)median
C)mean
D)percentile