Deck 2: Percentages, Graphs and Measures of Central Tendency

Question 1

The mean, median, and mode are all measures of

A) dispersion
B) variability
C) central tendency
D) all of these

Answer 1

C

Question 2

The more separate scores there are in a given distribution, the higher will be the value of the

A) the mean
B) the median
C) the mode
D) none of these

Answer 2

D

Question 3

Traditionally, the researcher indicates frequency of occurrence on the graph's

A) ordinate
B) abscissa
C) line of ascent
D) horizontal axis

Answer 3

A

Question 4

On a frequency distribution, raw scores are plotted on the

A) abscissa
B) ordinate
C) vertical axis
D) all of these, depending on the size of the group being measured

Question 5

When graphing data, it is traditional to make the length of the ordinate equal to

A) the length of the abscissa
B) twice the length of the abscissa
C) three-quarters of the length of the abscissa
D) one-half of the length of the abscissa

Question 6

Using the mean to indicate centrality on a distribution of income scores usually results in

A) a false image of poverty
B) an accurate portrayal of income
C) a false image of prosperity
D) income scores never lend themselves to centrality

Question 7

The so-called "wow" graph is always possible whenever

A) scores are presented on the X axis
B) the abscissa does not begin with zero
C) the base of the ordinate is not set at zero
D) two distributions are being presented simultaneously

Question 8

Perhaps the most serious flaw in graphing data is due to

A) not placing frequencies on the abscissa
B) not placing raw scores on the ordinate
C) not placing the ordinate on the X axis
D) not setting the base of the ordinate at zero

Question 9

When scores are arranged in order of magnitude, the researcher has formed a

A) histogram
B) measure of centrality
C) measure of dispersion
D) distribution

Question 10

The abscissa is

A) the horizontal axis
B) the vertical axis
C) the connected points on a polygon
D) a measure of central tendency

Question 11

The following are all measures of central tendency, except

A) the mean
B) the median
C) the range
D) the mode

Question 12

With a frequency polygon, scores are always presented on

A) the X axis
B) the Y axis
C) the Z axis
D) the frequency polygon may never be used to represent scores

Question 13

When a distribution shows a large majority of very low scores and a few very high scores, the distribution is said to be

A) skewed to the right
B) skewed to the left
C) skewed to the middle
D) bimodal

Question 14

The ordinate is identical to the

A) X axis
B) Y axis
C) mean
D) none of these

Question 15

The influence of a few extreme scores in one direction is most pronounced on the value of the

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

Question 16

When single points are used to designate the frequency of each score, the points being connected by a series of straight lines, this is called a

A) frequency polygon
B) frequency rectangle
C) scatter plot
D) histogram

Question 17

When each score is listed in order of magnitude, together with the number of individuals receiving each score, the researcher has set up

A) a unimodal distribution
B) a bimodal distribution
C) a skewed distribution
D) a frequency distribution

Question 18

The measurement which occurs most often in a distribution is called the

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

Question 19

When a graph is constructed using a series of rectangles indicating the frequency of occurrence for each score, it is called a

A) frequency polygon
B) frequency rectangle
C) scatter plot
D) histogram

Question 20

When a distribution is skewed, the researcher who is interested in central tendency should use the

A) mean
B) median
C) mode
D) all of these are appropriate

Question 21

the distribution of income scores is

A) skewed right
B) skewed left
C) skewed to the middle
D) not skewed

Question 22

the most appropriate measure of central tendency in this distribution Would yield a value of

A) $80,000
B) $100,000
C) $71,000
D) none of these values could yield a measure of central tendency

Question 23

The annual income which is surpassed by 90% of the families is

A) $100,000
B) $71,000
C) $80,000
D) cannot tell from these data

Question 24

In a histogram, the mode is always located

A) under the shortest bar
B) under the tallest bar
C) under the last bar to the right
D) under the last bar to the left

Question 25

Whenever a distribution is skewed left, the measure yielding the highest numerical value is always the

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

Question 26

When a skewed distribution tails off to the right, the distribution is

A) skewed right
B) skewed left
C) skewed to the center
D) not skewed at all

Question 27

When the median lies to the right of the mean, the distribution is probably

A) bimodal
B) multimodal
C) skewed left
D) skewed right

Question 28

Adding just one or two extreme scores to the high end of a distribution, has a great effect on

A) the median, but not the mode
B) the mode, but not the mean
C) the mean, but not the median
D) none of these

Question 29

When the majority of scores are at the high end of the distribution, but there are a few extremely low scores, the distribution is

A) bimodal
B) multimodal
C) skewed left
D) skewed right

Question 30

Adding just one or two extreme scores to the low end of a distribution, has a great effect on

A) the median but not the mode
B) the mode, but not the median
C) the mean, but not the median
D) none of these

Question 31

2-36 Bar charts are used instead of histograms when the data are
A) Continuous

A) In the form of values that may fall at any point along an unseparated scale of points
B) Non-continuous
B) None of these since bar charts and histograms are synonymous.

Question 32

the annual income achieved by most of the families is

A) $71,000
B) $80,000
C) $100,000
D) half way between the mean and the mode

Question 33

The most frequently occurring score in the distribution defines the

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

Question 34

The point above which half the scores fall and below which half the scores fall, defines the

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

Question 35

The mean is not overly affected by extreme scores, unless

A) the extreme scores are all in one direction
B) the extreme scores are in both directions
C) the number of extreme scores is fewer than 5
D) all of these

Question 36

The annual income which is surpassed by 50% of the families is

A) $80,000
B) $71,000
C) $100,000
D) cannot tell from these data

Question 37

if a new family were to move into the community with an annual income of $295,000, this would most affect

A) the mean
B) the median
C) the mode
D) all of these

Question 38

The arithmetic average defines the

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

Question 39

The fact that the mean IQ of college seniors is higher than that of freshmen is probably due to

A) the fact that going to college increases the IQ
B) the fact that there is a big IQ gain between the junior and senior years
C) an incorrect interpretation of the data
D) the fact that the lower IQ freshmen tend to drop out of college and,

Question 40

When the mean lies to the right of the median, the distribution is probably

A) bimodal
B) multimodal
C) skewed left
D) skewed right

Question 41

With a skewed left distribution, the median is always to the right of the mean.

Question 42

For the following set of scores, calculate the mean, median and mode: 8, 8, 6, 7, 5, 9.

Question 43

Other things being equal, the mean is the most stable measure when the data form is skewed..

Question 44

One should expect a distribution of personal income measures to be skewed to the right.

Question 45

A bimodal distribution often indicates

A) that there will be two means
B) that there will be two medians
C) that the mean, median and mode have the same value
D) that two separate sub-groups may have probably been measured

Question 46

The most appropriate measure of central tendency in a bimodal distribution is (are) the

A) mean
B) median
C) modes
D) ordinate

Question 47

For the following set of scores, calculate the mean, median and mode: 20, 8, 18, 10, 15, 10, 13, 11.

Question 48

On a frequency distribution curve, frequency of occurrence is always plotted on the abscissa.

Question 49

A skewed right distribution has the mean lower than the mode.

Question 50

When a distribution has two separate and distinct medians, then

A) it is skewed right
B) it is skewed left
C) it is probably bimodal
D) a distribution can never have more than one median

Question 51

The most appropriate measure of central tendency in a skewed right distribution is the median.

Question 52

All three measures of central tendency can be calculated when the data are in interval form.

Question 53

For the following set of scores, calculate the mean, median and mode: 3, 4, 7, 7, 5, 9.

Question 54

The median is always exactly half-way numerically between the highest and lowest scores.

Question 55

With a skewed left distribution, the mode is never to the left of the mean.

Question 56

When the median is being calculated, it makes no difference whether one starts counting from the bottom or the top of the distribution.

Question 57

If a positively skewed and negatively skewed distribution were combined, the resulting distribution would probably be bimodal.

Question 58

For the following set of scores, calculate the mean, median and mode: 5, 7, 3, 9, 4, 5, 10, 9.

Question 59

For the following set of scores, calculate the mean, median and mode: 11, 2, 3, 3, 7, 6.

Question 60

A positively skewed distribution is identical to a skewed right distribution.

Question 61

Questions 69 through 75 are based on the following: Thirty-four members of a certain sorority were selected, and asked to indicate how many hours each had spent reading (for pleasure, not school work) during the previous week. The data are as follows: 50, 4, 10, 5, 5, 6, 7, 3, 5, 4, 4, 5, 6, 6, 7, 5, 8, 1, 8, 7, 5, 6, 10, 6, 8, 7, 7, 6, 5, 5, 4, 3, 4, 5.
If the distribution is skewed, in what direction is the skew?.

Question 62

Questions 69 through 75 are based on the following: Thirty-four members of a certain sorority were selected, and asked to indicate how many hours each had spent reading (for pleasure, not school work) during the previous week. The data are as follows: 50, 4, 10, 5, 5, 6, 7, 3, 5, 4, 4, 5, 6, 6, 7, 5, 8, 1, 8, 7, 5, 6, 10, 6, 8, 7, 7, 6, 5, 5, 4, 3, 4, 5.
Find the median.

Question 63

Questions 69 through 75 are based on the following: Thirty-four members of a certain sorority were selected, and asked to indicate how many hours each had spent reading (for pleasure, not school work) during the previous week. The data are as follows: 50, 4, 10, 5, 5, 6, 7, 3, 5, 4, 4, 5, 6, 6, 7, 5, 8, 1, 8, 7, 5, 6, 10, 6, 8, 7, 7, 6, 5, 5, 4, 3, 4, 5.
What would the mean and median have been if the highest score had been a 12 instead of a 50?

Question 64

For the following set of scores, calculate the mean, median and mode: 12, 1, 9, 7, 2, 4.

Question 65

Questions 69 through 75 are based on the following: Thirty-four members of a certain sorority were selected, and asked to indicate how many hours each had spent reading (for pleasure, not school work) during the previous week. The data are as follows: 50, 4, 10, 5, 5, 6, 7, 3, 5, 4, 4, 5, 6, 6, 7, 5, 8, 1, 8, 7, 5, 6, 10, 6, 8, 7, 7, 6, 5, 5, 4, 3, 4, 5.
Find the mean.

Question 66

Questions 69 through 75 are based on the following: Thirty-four members of a certain sorority were selected, and asked to indicate how many hours each had spent reading (for pleasure, not school work) during the previous week. The data are as follows: 50, 4, 10, 5, 5, 6, 7, 3, 5, 4, 4, 5, 6, 6, 7, 5, 8, 1, 8, 7, 5, 6, 10, 6, 8, 7, 7, 6, 5, 5, 4, 3, 4, 5.
Find the mode.

Question 67

For the following set of scores, calculate the mean, median and mode: 10, 12, 9, 10, 10.

Question 68

Questions 69 through 75 are based on the following: Thirty-four members of a certain sorority were selected, and asked to indicate how many hours each had spent reading (for pleasure, not school work) during the previous week. The data are as follows: 50, 4, 10, 5, 5, 6, 7, 3, 5, 4, 4, 5, 6, 6, 7, 5, 8, 1, 8, 7, 5, 6, 10, 6, 8, 7, 7, 6, 5, 5, 4, 3, 4, 5.
Which measure of central tendency yielded the highest numerical value?

Question 69

Questions 69 through 75 are based on the following: Thirty-four members of a certain sorority were selected, and asked to indicate how many hours each had spent reading (for pleasure, not school work) during the previous week. The data are as follows: 50, 4, 10, 5, 5, 6, 7, 3, 5, 4, 4, 5, 6, 6, 7, 5, 8, 1, 8, 7, 5, 6, 10, 6, 8, 7, 7, 6, 5, 5, 4, 3, 4, 5.
Which measure of central tendency yielded the lowest numerical value?