Exam 3: Central Tendency.

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Which of the following statements is true?

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A population of N = 7 scores has a mean of µ = 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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A set of n = 3 scores has a mean of M = 10.Another set of scores has n = 7 and M = 6.If these two sets of scores are combined,what is the mean for the combined group?

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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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Adding a new score to a distribution 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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It is impossible for the value of the mode to be greater than the value of the 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 6th individual?

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What is the mean for the following scores? Scores: 4,6,14

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A sample has a mean of M = 90.If each score in the sample is multiplied by 5,then what is the mean for the new distribution?

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

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

(True/False)
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What is the value of the median for the following set of scores? Scores: 1,3,4,6,8,12,13,23,25,26

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

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

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For a perfectly symmetrical distribution with a median of 30,what is the value of the mean?

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A population of N = 8 scores has ΣX = 40.What is the population mean?

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A sample of n = 6 scores has ΣX = 48.This sample has a mean of M = 8.

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