Deck 3: Measures of Central Tendency

Question 1

What is the mode for the following distribution of scores: 7,7,9,10,12?

A)7.0
B)9.0
C)8.5
D)12

Answer 1

A

Question 2

Numbers that describe what is average or typical of a distribution are referred to as

A)frequencies.
B)bar charts.
C)measures of central tendency.
D)measures of variability.

Answer 2

C

Question 3

Calculate the median for the following scores: 8,10,2,12,13,7.

A)10
B)6.5
C)9
D)8

Answer 3

C

Question 4

Which measure of central tendency is the score that divides the distribution into two equal parts so that half of the cases are above and half are below it?

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

Question 5

Which measure of central tendency is obtained by adding up all of the scores and then dividing by the total number of scores?

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

Question 6

The category or score with the highest frequency in a distribution is referred to as the

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

Question 7

The ______ is the appropriate measure of central tendency for nominal variables.

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

Question 8

Which of the following measures of central tendency is sensitive to extreme scores in a distribution?

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

Question 9

A bimodal distribution is one that has two

A)modes.
B)medians.
C)percentiles.
D)frequencies.

Question 10

Consider the following distribution: 5,5,8,9,10,10,11.Which of the following is a correct statement about this distribution?

A)The mode is 9.
B)The median is 7.
C)The distribution is bimodal.
D)The mean is 6.5

Question 11

What is the mean for the following distribution of scores: 7,7,9,10,12?

A)7.0
B)9.0
C)8.5
D)12

Question 12

Distributions that have few extreme low values are described as

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

Question 13

Consider the following distribution of scores: 7,7,9,10,12.Which score corresponds to the 50th percentile in this distribution?

A)7.0
B)9.0
C)8.5
D)12

Question 14

In unimodal distributions,when the mode,the median,and the mean coincide or are almost identical,the distribution is

A)asymmetrical.
B)symmetrical.
C)positively skewed.
D)negatively skewed.

Question 15

Suppose that N = 28.If the values for the 14th and 15th cases are 17 and 19 respectively,what is the value of the median?

A)17.0
B)18.0
C)18.5
D)19.0

Question 16

Consider the following distribution of scores: 7,7,9,10,12.What is the median for this distribution?

A)7.0
B)9.0
C)8.5
D)12

Question 17

Determine the mode for the following scores: 8,10,2,12,13,8.

A)10
B)2
C)8
D)5

Question 18

Suppose that N = 28.Which scores do you need to examine in order to determine the value of the median.

A)n₁₃,n₁₄
B)n₁₄,n₁₅
C)n₁₅,n₁₆
D)n₁₄,N

Question 19

A score below which a specific percentage of a distribution falls is referred to as the

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

Question 20

Which of the following columns is most useful when using a frequency distribution to identify the interval containing the median?

A)Percentages
B)Cumulative percentages
C)Frequencies
D)Cumulative frequencies

Question 21

SELECT ALL THAT APPLY.The median can be used with

A)ordinal variables.
B)interval-ratio variables.
C)nominal variables.
D)any type of variable.

Question 22

Calculate the median of the following distribution.

Question 23

Describe the shape of the distribution in the table below.

Question 24

If the frequencies at the right and left tails of the distribution are identical,then the distribution is

A)symmetric.
B)positively skewed.
C)negatively skewed.
D)skewed.

Question 25

Calculate the value of the mean for the following distribution.

Question 26

Percentiles require that data be at a nominal level of measurement.

Question 27

Calculate the mean for the following distribution.

Question 28

Calculate the value of the median for the following distribution.

Question 29

SELECT ALL THAT APPLY.With respect to the following table,which of the statements are not true?

A)There is one mode and it is History.
B)There is one mode and it is 11.
C)There are two modes and they are both 11.
D)There are two modes and they are History and Biology.

Question 30

SELECT ALL THAT APPLY.Which of the following statements are true with respect to the data: 71,73,71,65,70?

A)The mode,median,and mean are the same.
B)The median and mean are both 70.
C)The mode and mean are both 71.
D)The mode is 71.

Question 31

The median is a measure of central tendency that can be calculated for variables that are at least at an ordinal level of measurement.

Question 32

Which is more susceptible to extreme values: the mean or the median?

Question 33

When the mean is lower than the median (or positioned to the left of the median),the distribution is positively skewed.

Question 34

The mean can be calculated only for variables at the interval-ratio level of measurement.

Question 35

SELECT ALL THAT APPLY.The mode is the category with the ______ in the distribution.

A)largest percentage
B)smallest percentage
C)largest frequency
D)smallest frequency

Question 36

SELECT ALL THAT APPLY.Which of the following factors determine the choice of an appropriate measure of central tendency?

A)The size of the data
B)The way the variables are measured (their level of measurement)
C)The shape of the distribution
D)The purpose of the research

Question 37

When the mean is higher than the median (or positioned to the right of the median),the distribution is positively skewed.

Question 38

Consider the following distribution of crime rates per thousand persons from the U.S.Census Bureau (2008).Excluding Maine,identify the crime rate that marks the 75th percentile.

Question 39

Identify the mode for the following distribution.

Question 40

SELECT ALL THAT APPLY.Which of the following statements are not true?

A)If we add the mean from each score and multiply up all the sums,the product will always be one.
B)If we add the mean from each score and add up all the sums,the sum will always be zero.
C)If we subtract the mean from each score and add up all the differences,the sum will always be zero.
D)If we subtract the mean from each score and multiply up all the differences,the product will always be one.

Question 41

The following data are taken from the U.S.Census Bureau and are the proportion of residents in U.S.states who lacked health insurance between 2001 and 2003.Suppose we added one additional state,Oregon,to the groups of states currently being considered.If the proportion of residents without health insurance in Oregon is .17,what is Oregon's percentile rank?

Question 42

Given the following frequency distribution,calculate the median.

Question 43

The following data are taken from the U.S.Census Bureau and are the proportion of residents in U.S.states who lacked health insurance between 2001 and 2003.Suppose we added one additional state,Oregon,to the groups of states currently being considered.If the proportion of residents without health insurance in Oregon is .17,discuss whether this distribution is skewed.If so,what is the cause of the skew? If there is not a skew,explain why.

Question 44

The following data are taken from the U.S.Census Bureau and are the proportion of residents in U.S.states who lacked health insurance between 2001 and 2003.Suppose that Rhode Island and Wisconsin saw an increase in the proportion of residents without health insurance to the level experienced by Louisiana.Describe how this would change the shape of the distribution.

Question 45

The following data are taken from the U.S.Census Bureau and are the proportion of residents in U.S.states who lacked health insurance between 2001 and 2003.Suppose we added one additional state,Oregon,to the groups of states currently being considered.If the proportion of residents without health insurance in Oregon is .17,what is the value of the mode for this distribution?

Question 46

Consider the following distribution of crime rates per thousand persons from the U.S.Census Bureau (2008).Calculate the values of the mean and the median with and without Maine.How does dropping Maine change the values of the mean and the median?

Question 47

The following data are taken from the U.S.Census Bureau and are the proportion of residents in U.S.states who lacked health insurance between 2001 and 2003.Suppose we added one additional state,Oregon,to the groups of states currently being considered.If the proportion of residents without health insurance in Oregon is .17,what is the value of the median for this distribution?

Question 48

A student scores 85,89,91,and 85 in the first four tests.What should be his score in the fifth test so that he has an average of 90.

Question 49

The following data are taken from the U.S.Census Bureau and are the proportion of residents in U.S.states who lacked health insurance between 2001 and 2003.Suppose we added one additional state,Oregon,to the groups of states currently being considered.If the proportion of residents without health insurance in Oregon is .17,what is the value of the mean for this distribution?

Question 50

For the following data,compare the mode,median,and mean.What will be the shape of the distribution?
7,16,23,41,4,72,7,91,12,31,31,66,2,44,85,4,50,99,41,31