Exam 4: Measures of Central Tendency and Variability

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Given the following set of scores X : 10, 12, 6, 8, 9, 11, 13, 13, 5, 0, 1 What is the median?

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A history professor gives a quiz to his class and records the following scores: 13, 11, 11, 9, 12, 13, 16, 14, 11, 10, 8, 13, 20 . The standard deviation for this distribution is _________. Assume sample scores.

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Variability and dispersion mean the same thing.

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An industrial psychologist observed 8 drill-press operators for one working day. She recorded the number of times each operator pressed the "faster" button instead of the "stop" button to determine whether the design of the control panel was contributing to the high rate of accidents in the plant. The resulting scores were as follows: 5, 2, 8, 2, 3, 2, 4, 12 The range for this distribution is _________.

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  is called _________. is called _________.

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Given the following set of scores X : 10, 12, 6, 8, 9, 11, 13, 13, 5, 0, 1 What is the value of Given the following set of scores X : 10, 12, 6, 8, 9, 11, 13, 13, 5, 0, 1 What is the value of   ? ?

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Define range.

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The median is less subject to sampling variation than the mean.

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Define deviation score.

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Is the overall mean a weighted mean? Explain.

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Which is a better measure of variability, the variance or the standard deviation? Explain.

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  equals _______ . equals _______ .

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An industrial psychologist observed 8 drill-press operators for one working day. She recorded the number of times each operator pressed the "faster" button instead of the "stop" button to determine whether the design of the control panel was contributing to the high rate of accidents in the plant. The resulting scores were as follows: 5, 2, 8, 2, 3, 2, 4, 12 The mean for this distribution is _________.

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When calculating the population standard deviation, we use N - 1 in the denominator.

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The mean is more often used for inference than the median.

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  equals _______ . equals _______ .

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Why do we use N - 1 in computing the standard deviation of a sample, but use N in computing the standard deviation of a population?

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As a statistician (use your imagination), you are asked to recommend which measure of central tendency to use to characterize the following scores: 0.6, 0.2, 0.1, 0.2, 0.2, 0.4, 0.3, 0.7, 0.8, 0.1, 0.0, 0.5, 22.5, 0.4. What is your recommendation and why?

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Central tendency and variability are synonymous.

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Define overall mean.

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