Exam 5: Variability and Standard Z Scores

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The mean of a set of z scores is

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We calculate SX to be -6. We know

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Each score in a sample of five raw scores is converted to a deviation score. The following are the values for four of the deviation scores: -4, +2, +3, -6. What is the value of the remaining deviation score?

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The semi-interquartile range is most closely related to the

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A set of scores has a standard deviation of 20. If 4 points were added to each score, the standard deviation would be

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For the two scores 4 and 8, For the two scores 4 and 8,     is is

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If a set of raw scores is positively skewed, the set of z scores derived from them will be

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In a normal distribution, the interscore distance would be

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For the distribution of scores on a test of introversion-extroversion administered to a large group of college students, Xˉ=82 \bar{X}=82 and SX=12 S_{X}=12 (high scores are in the direction of introversion). For each of the following students, convert the raw score to a z score: (a)John, 88; (b)George, 96; (c)Mary, 72; (d)Alfred, 64.

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   is is

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Eliminating some scores from a point near the mean will

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The scores of two groups of chimpanzees on a special problem-solving task are as follows. Group 1: 2, 7, 5, 2, 3, 8, 3. Group 2: 5, 9, 8, 5, 3. (a)Compute the standard deviations of both sets of scores, directly from deviation scores. Carry any remainders to two decimal places. (b)Compute the standard deviations of both sets of scores, using the raw score formula to obtain The scores of two groups of chimpanzees on a special problem-solving task are as follows. Group 1: 2, 7, 5, 2, 3, 8, 3. Group 2: 5, 9, 8, 5, 3. (a)Compute the standard deviations of both sets of scores, directly from deviation scores. Carry any remainders to two decimal places. (b)Compute the standard deviations of both sets of scores, using the raw score formula to obtain

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The major disadvantage of percentile ranks as a kind of derived score is that

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The properties of the standard deviation are most closely related to those of the

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For the frequency distribution of GPA's of a group of freshmen, For the frequency distribution of GPA's of a group of freshmen,     and      . 75% of the freshmen's GPA's fall below and For the frequency distribution of GPA's of a group of freshmen,     and      . 75% of the freshmen's GPA's fall below . 75% of the freshmen's GPA's fall below

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Use the basic definition of z scores to convert each of the following z scores back to introversion-extroversion scores from the distribution of Problem 8 (round answers to the nearest whole number): (a)0; (b)-2.10; (c)1.82; (d)-.75; (e).25; (f)3.10.

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If the lowest score is 51 and the highest score is 92, the range is

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