Exam 5: Variability and Standard Z Scores

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z scores from two different score distributions are comparable only if

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A z score in a given distribution is -2. If the mean of the distribution is 40, the equivalent raw score

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The standard deviation of a population is

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The mean for a large group of ninth graders on a standard social studies test is 87.2. Jane obtains a score of 93.(a)How would you describe her performance?(b)Suppose SX = 25.1. Now how would you describe her performance?(c)Suppose SX = 2.1. Now how would you describe her performance?

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The mean score on a quiz is 7 and the standard deviation is 0. This shows that

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(a) After the mean, median, range, Q, and SX of a set of 40 scores are computed, the researcher finds that the highest score is in error and should be even higher. Which of the above statistics will be affected by the correction? Explain.(b)He also learns that one of the scores just below the median should be slightly lower. Which of the above statistics would be affected by this correction? Explain.

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For the two scores 2 and 4, ( Σ\Sigma X)2

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Three scores in a distribution are 20, 25, and 35. The z-score equivalents of the first two are, respectively, -1 and -1/2. The z-score equivalent of the third score

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Q1 means the same as

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Which measure is not dependent on the value of each score?

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Q is equal to

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If one score in a distribution is changed to another value, it is certain that

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Consider the following sets of scores: (1) 8, 8, 8, 8, 8;(2)6, 6, 8, 10, 10; (3)4, 6, 8, 10, 12; (4)1004, 1006, 1008, 1010, 1012. (a)Upon inspection, which show(s) the least variability? The most variability? (b)For each set, compute the mean, and compute the variance and standard deviation directly from deviation scores. (c)What do the results of (b) suggest about the relationship between central tendency and variability?

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A distribution has a mean of 60 and a standard deviation of 8. For a score of 72, the equivalent z score

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Professor Jones gives a quiz in her statistics course and obtains the following 20 scores: Professor Jones gives a quiz in her statistics course and obtains the following 20 scores:     Calculate the variance and standard deviation by  (a) the deviation-score method, and (b) the raw-score method. Calculate the variance and standard deviation by (a) the deviation-score method, and (b) the raw-score method.

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The sum of squares of the deviation scores is least when deviations are taken from

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For a distribution of math test scores, Q=8.3 Q=8.3 This tells us something about 50% of the cases. Which 50%? What does it tell us about that 50%?

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A z score in a given distribution is -.5. If the mean of this distribution is 130 and the standard deviation is 20, the equivalent raw score in that distribution is

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The values of three out of a sample of four deviation scores are: -5, +2, and -3. The value of the fourth deviation score is

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For the two scores 1 and 5, compute SX

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