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Exam 4: Central Tendency and Variability

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Question 1

Multiple Choice

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In a sample of data that has several extremely low scores, creating negative skew, the mean:

A) will be greater than the mode.
B) will be greater than the median.
C) and the mode will be equal.
D) will be less than the median.

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Question 2

Multiple Choice

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When looking at a distribution of data with a possible outlier, it is important to keep in mind the range of all scores because an extremely high or low outlier may skew the _____of the data set.

A) parameters
B) sum of squares
C) mean
D) mode

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C

Question 3

Multiple Choice

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The mean is calculated by:

Here is a set of scores: 18, 99, 14, 16, 31, 43, 12, 14, 13, 51, 12.Which score is considered to be an outlier?

Sixteen college freshmen were asked to record the number of alcoholic drinks they typically consume in a week.Here are their data: 2, 4, 6, 0, 1, 10, 9, 0, 6, 3, 6, 8, 5, 4, 6, 2.What is the range of this distribution?

Professor Kellogg calculates the grades on the first exam for her statistics class.She finds that students did either really well or really poorly.What kind of distribution does Prof.Kellogg have?

Mark decides to use the mode as the measure of central tendency for his map study.His data set is 3, 17, 22, 5, 4, 16, 27, 22, 17, 22, 5, 3.What is the mode?

_____ is affected by outliers because it takes the actual value of each data point into consideration.

The standard deviation is most commonly used to get a sense of how far the typical score of a distribution differs from the mean.In computing the standard deviation, why is it necessary to square the deviations from the mean for each score?

The most common measure of variability reported in research articles is the standard deviation.

The mean is an appropriate measure of center when considering nominal data.

Six students from a psychology class reported the number of hours of television they watch per week.Here are their data: 18, 12, 15, 14, 13, 16.What is the standard deviation of the number of hours of television watched per week for this sample of six students?

Here is a set of data: 31, 54, 26, 42, 39, 45, 38, 42.What is the mode?

For a data set that has been skewed due to outliers, what measure of central tendency is most accurate and should be reported?

When the mean is presented in research articles, it is most often accompanied by the _____ as a measure of variability.

The median is the measure of central tendency that conveys the mathematical center of the data.

The range as a measure of variability is problematic because:

The sum of squares is symbolized as $\\ \Sigma$ .

The most common score of a distribution is referred to as the:

Sixteen college freshmen were asked to record the number of alcoholic drinks they typically consume in a week.Here are their data: 2, 4, 6, 0, 1, 10, 9, 0, 6, 3, 6, 8, 5, 4, 6, 2.What is the variance of the number of alcoholic drinks consumed per week?