Exam 3: Central Tendency

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

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What is the value of the median for the following set of scores?

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A population with a mean of μ = 6 has ΣX = 42.How many scores are in the population?

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A sample of n = 6 scores has a mean of M = 5.One person with a score of X = 12 is added to the distribution.What is the mean for the new set of scores?

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If a negatively skewed distribution has a mean of 50, then the median and the mode are both probably greater than 50.

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For any distribution of scores at least one individual will have a score exactly equal to the mean.

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

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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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Which of the following statements cannot be true for a distribution of scores?

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Which of the following actions will always change the value of the mean?

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After adding 6 points to every score in a sample, the new mean is found to be M = 18.The mean for the original sample was M = 24.

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What is the mode for the following sample of n = 8 scores? Scores: 0, 1, 1, 1, 2, 2, 3, 3

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A sample of n = 7 scores has a mean of M = 5.After one new score is added to the sample the new mean is calculated to be M = 6.The new score was X = 13.

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A sample of n = 5 scores has a mean of M = 12.What is ΣX for this sample?

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A sample of n = 8 scores has a mean of M = 10.After one score is removed from the sample, the mean for the remaining score is found to be M = 11.What was the score that was removed?

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For a negatively skewed distribution with a mode of X = 25 and a median of 20, what is the most likely value for the mean?

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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 population of N = 7 scores has a mean of μ\mu = 10.If one score with a value of X = 4 is removed from the population, what is the value for the new mean?

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In a population of N = 6, five of the individuals all have scores that are exactly 1 point above the mean.From this information, what can you determine about the score for the sixth individual?

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If a sample has an odd number of scores, at least one individual will have a score exactly equal to the median.

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