Exam 3: Measures of Central Tendency and Variability

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Across all individuals,scores will always be closest to the mode than any other index of central tendency.

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Explain why the mean is not an optimal measure of central tendency when there are one or more extreme scores in the distribution.

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Consider the following scores achieved by subjects taking a standard IQ test: 68,83,93,100,101,103,106,120.The mode is ______.

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Given the data set 8,8,8,7,5,6,2,2,what is the range?

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The sum of squared deviations from the mean will always be greater than the sum of squared deviations around any other index of central tendency.

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If a researcher were to subtract the mean of a distribution from each score in that distribution and add the differences,the resulting value would _____.

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As a measure of central tendency,the median _____ the absolute difference between it and the scores in the distribution.

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A teacher wants to determine the mean score of students taking a newly developed test.Her students scored as follows: 40,45,60,65,70,70,70,80,90,100.Compute the mean for the class.

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For the following set of scores compute the mean,mode,sum of squares,variance and standard deviation: 30 32 34 40 50 45 46 47

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If you were to randomly select one score from a set of scores,the score most likely to be selected _______.

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When presenting measures of central tendency and variability,most researchers report _____ and_____ ,which are the most _____ descriptive statistics.

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If the variance of a distribution is 100 the SD is____________________.

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If we were to randomly select one score from a set of scores,the value of that score would most likely be equal to the mode as opposed to any other value.

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What does the variability of a set of scores refer to?

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The formula for computing the median is based on the assumption that the median occurs within the real limits of the middle score(s).

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_____ refer(s)to the tendency for scores to cluster on one side of the mean in some distributions.

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Fill in the following table. Fill in the following table.     What is the median of the distribution or 50<sup>th</sup> percentile? What is the median of the distribution or 50th percentile?

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The variability of a set of scores reflects its skewness.

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The term "central tendency" refers to _____.

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The interquartile range is the difference between the highest and lowest scores after the top 75% of the scores and the bottom 75% of the scores have been eliminated from the data.

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