Exam 3: Central Tendency.

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For the scores in the following frequency distribution table,the mean is M = 3. X f 4 1 3 4 2 2

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A sample of n = 5 scores has a mean of M = 12.One new score is added to the sample,and the new mean is calculated to be M = 11.What is the value of new score?

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For a perfectly symmetrical distribution with µ = 30,what is the mode?

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A sample of n = 10 scores has a mean of 50.A second sample has n = 5 scores and M = 60.If the two samples are combined,the combined sample mean will be greater than 55.

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The mean is considered to be the "balance point" for a distribution because exactly half of the scores are located above the mean and exactly half are below the mean.

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Explain why it is necessary to have more than one standard procedure for defining and measuring central tendency.

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In a sample of n = 6 scores,the smallest score is X = 3,the largest score is X = 10,and the mean is M = 6.If the largest score is changed from X = 10 to X = 22,then what is the value of the new mean?

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A sample of n = 8 scores has a mean of M = 20.After one score is removed from the sample,the mean is calculated to be M = 23.The removed score must have a value greater than 20.

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A sample has a mean of M = 86.If one new person is added to the sample,what effect will it have on the sample mean?

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A sample has n = 5 scores: 2,4,5,8,and 11.The median for the sample is 6.5.

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A population of scores has a mean of µ = 26,a median of 23,and a mode of 22.What is the most likely shape for the population distribution?

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Changing the value of a score in a distribution will always change the value of the mean.

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Find the mean,the median,and the mode for the set of scores in the frequency distribution histogram below. Find the mean,the median,and the mode for the set of scores in the frequency distribution histogram below.

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A population has a mean of µ = 30.If 3 points are added to each score,what is the mean for the new distribution?

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A sample of n = 6 scores has a mean of M = 9.If one individual with a score of X = 4 is removed from the sample,the new mean will be M = 10.

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For a positively skewed distribution,the mean usually has a larger value than either the median or the mode.

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For a distribution with one or two extreme scores,the median is usually a more representative value than the mean.

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It is possible for a distribution to have more than one mode.

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Under what circumstances is the median likely to produce a better measure of central tendency than the mean?

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What is the mean for the population of scores shown in the frequency distribution table? \ X 5 1 4 2 3 3 2 4 1 2

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