Exam 3: Central Tendency

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A sample of n = 8 scores has a mean of M = 16.For this sample ΣX = 2.

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A sample has a mean of M = 40.If 10 points are added to one of the scores, what is the new value for the sample mean?

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There are situations for which it is either impossible to compute a mean or the mean does not provide a central, representative value.

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After every score in a sample is multiplied by 3, the mean is calculated and found to be M = 21.What was the mean for the original scores?

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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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One sample with n = 4 scores has a mean of M = 12, and a second sample with n = 6 scores has a mean of M = 8.If the two samples are combined, what is the mean for the combined set of scores?

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For a negatively skewed distribution with a mean of M = 20, what is the most probable value for the median?

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For the population of scores shown in the frequency distribution table, the mean is ____. X f 5 2 4 1 3 3 2 2 1 2

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For a set of scores measured on an ordinal scale, the median is the preferred measure of central tendency.

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For a perfectly symmetrical distribution with µ = 30, what is the most probably value for the mode?

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What is the median for the following set of scores?

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For a 100-point exam, a score of X = 65 is definitely above the median.

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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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In a sample of n = 3 scores, two scores are each below the mean by 2 points.The third score is above the mean by 4 points.

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One item on a questionnaire asks students how many times in a typical week they eat at a fast-food restaurant.The responses for a sample of n = 10 students are summarized in the frequency distribution.What is the best measure of central tendency for these data? X f 5 or more 2 4 3 3 2 2 1 1 1 0 1

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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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A sample with a mean of M = 20 has ΣX = 120.There are n = 6 scores in the sample.

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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 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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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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