Exam 3: Measures of Central Tendency

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

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For a perfectly symmetrical distribution,which relationship is always true?

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

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A population of N = 10 scores has a mean of μ = 6.After one score is removed,the mean is found to be M = 5.What is the value of the score that was removed?

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A researcher is measuring the amount of time needed to solve a set of anagrams for a sample of n = 15 students.However,one of the participants fails to solve the problems so the researcher has an undetermined score.What is the best measure of central tendency for these data?

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

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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 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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A set of N = 8 scores has a mean of µ = 11.If 16 points are added to one of the scores,what is the new value for the population mean?

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My electric bills for June,July,and August last summer were $75,$75,and $150,respectively.What was the mean amount for the three bills?

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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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A sample has a mean of M = 40.If a new score of X = 35 is added to the sample,then the sample mean would increase.

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A sample of n = 7 scores has a mean of M = 11.If one score with a value of X = 5 is removed from the sample,what is the mean for the remaining scores?

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

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A distribution of scores has a mean of 50,a median of 53,and a mode of 56.Based on this information,it appears that the distribution is negatively skewed.

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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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What is the median for the following set of scores? Scores: 1,2,6,11,17

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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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What is the preferred measure of central tendency for scores measured on an ordinal scale?

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