Chapter 3 Stats
When analyzing a variable with four unranked categories, which measure of central tendency would be most appropriate to use? Mean Sample Mode Median
Mode
Adding a new score to a distribution will always change the value of the mean. True False
False
Every dataset will have a mode. True False
False
For a negatively skewed distribution, the mean usually has a larger value than either the median or the mode. True False
False
It is possible to have a distribution of scores where no individual has a score exactly equal to the mode. True False
False
The mean is considered to be the "balance point" for a distribution because exactly half of the scores are located above the mean and exactly half are below the mean. True False
False
All of the following are strengths of the mode EXCEPT which of the following? It describes a bimodal or multimodal distribution. There are no calculations to find the mode. It is an actual score for the variable. It is used to test a hypothesis.
It is used to test a hypothesis.
When analyzing a variable measured on an interval scale, which measure of central tendency would be most appropriate to report (assuming the distribution is normal)? Mean Mode Statistic Median
Mean
Which of these is based on all of the scores in a set of data? The mean The range The mode The median
The mean
Which of these is influenced by outliers? The mode The mean The median All of the above
The mean
You have a dataset with 100 observations. You randomly select one value in the dataset and add 5 points to it. Which of the following is the most likely to change? The mode will change The mean, median, and mode all have the same likelihood of changing The mean will change The median will change
The mean will change
Changing the value of a score in a distribution will always change the value of the mean. True False
True
For a distribution with one or two extreme scores, the median is usually a more representative value than the mean. True False
True
For severely skewed distributions, the median often provides a better measure of central tendency than the mean. True False
True
If a sample has an odd number of scores, at least one individual will have a score exactly equal to the median. True False
True
There are situations for which it is either impossible to compute a mean or the mean does not provide a central representative value. True False
True
One relative strength of the _____ as a measure of central tendency is that it _____. mode; describes skewed distributions mean; is not influenced by outliers mean; is based on all of the scores in a distribution median; describes bimodal distributions
mean; is based on all of the scores in a distribution
One relative weakness of the _____ as a measure of central tendency is that it ____. mode; is influenced by outliers mean; is influenced by outliers median; is influenced by outliers mean; does not take into account all of the scores
mean; is influenced by outliers
The _____ may be defined as _____. mode; the score that splits a distribution into two equal halves median; the mathematical average mean; the most common or frequently occurring score in a distribution mean; the mathematical average
mean; the mathematical average
One relative strength of the _____ as a measure of central tendency is that it _____. mode; is based on all of the scores in a distribution mean; is not influenced by outliers mean; describes bimodal distributions median; describes skewed distributions
median; describes skewed distributions
One relative weakness of the _____ as a measure of central tendency is that it ____. mode; is influenced by outliers median; doesn't describe bimodal distributions median; is influenced by outliers mean; isn't based on all of the scores in the distribution
median; doesn't describe bimodal distributions
One relative weakness of the _____ as a measure of central tendency is that it ____. mode; is influenced by outliers mode; does not take into account all of the scores mean; does not take into account all of the scores median; is influenced by outliers
mode; does not take into account all of the scores
One relative strength of the _____ as a measure of central tendency is that it _____. mean; describes bimodal distributions mode; is based on all of the scores in the distribution median; can be used in statistics designed to test research hypotheses mode; isn't influenced by outliers
mode; isn't influenced by outliers
The mode may be defined as the most common or frequently occurring score in a distribution. the difference between the lowest and highest score in a data set. the mathematical average. the average squared deviation of a score from the mean.
the most common or frequently occurring score in a distribution.
The median may be defined as the average squared deviation of a score from the mean. the score that splits a distribution into two equal halves. the difference between the lowest and highest score in a data set. the most common or frequently occurring score in a distribution.
the score that splits a distribution into two equal halves.