Exam 3: Exploring Data: Central Tendency

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If a distribution is skewed, the mean may be a misleading measure of central tendency.

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A weighted mean is used when two samples have different Ns.

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Imagine a bar graph with the following categories and frequencies: Alpha, 2; Beta, 4; Gamma, 1; Delta, 5. The central tendency statistic that is appropriate and its value:

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The overall mean of 2 samples with different Ns is the sum of the two means divided by 2.

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The benefits of estimating an answer before beginning to work the problem include

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Find the mean, median, and mode and tell the direction of skew, if any. X f 7 2 6 3 5 5 4 3 3 3 2 3

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The mean is an appropriate measure of central tendency with open-ended distributions.

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Your textbook recommends, as a first step in working a problem, that you

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Usually, a frequency distribution with a mean of 100 and a median of 90 is

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Find the median of each distribution below. - X f 29 2 28 5 27 7 26 9 25 6 24 4

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Your text noted which of the following as a characteristic of the mean of a set of scores?

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The median of 4, 3, 4, 2, 3, 4, 4, is

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In a negatively skewed curve the mean is usually

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A characteristic of the mean is that Σ(XXˉ)\Sigma ( X - \bar { X } ) is a minimum but greater than 0.

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Data Set 3-4 The descriptive statistics for these data are approximately the same as those of a freshman class at a small private college. ACT Scores f 34 1 29 1 25 3 24 3 23 5 22 3 15 1 -The mode of Data Set 3-4 is

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The mode can be found for skewed distributions and open-ended distributions.

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For continuous data that are positively skewed, the mean is usually smaller than the median.

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For continuous data that are positively skewed, the mean is usually larger than the median

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A distribution of scores had a mean of 30 and a median of 40. In the usual case of continuous data, the distribution is

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The mean is appropriate for all four scales of measurement.

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