Exam 4: Central Tendency and Dispersion

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You want a measure of central tendency for an ordinal level variable. You want the measure that makes use of the fact that the attributes are not only different but also have rank order. What statistic would you calculate?

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A researcher takes a sample of three students from a playground and asks each of them what grade they are in. The students' answers are 3, 3, and 3. What is the variance for this data? variance: __________

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A researcher takes a sample of three students from a large class and asks each of them how many times they ate at a fast food restaurant so far this week. The three students' answers are 0, 4, 8. What is the variance for this data? It might help you to know that the standard deviation is 4. variance: _________

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If the mean on an exam was 75 and the standard deviation was 5, what do you know about the distribution of exam grades around the mean?

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A variable has a standard deviation of 4. What is the value of its variance? variance: __________

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Five college students have the following number of TV shows they watch regularly: 0, 0, 3, 4, 8. Compute the following statistics based on these values:mean: _____ median: _____ mode: _____ range: _____ minimum: _____ 50th percentile: _____

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You want to see the mode and percent distribution for a variable. Which SPSS procedure would be most appropriate?

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What univariate statistics are usually used to describe the distribution of cases on an ordinal variable?

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Six college students have the following number of TV shows they watch regularly: 0, 1, 3, 3, 5, 6. Compute the following statistics based on these values:mean: _____ median: _____ mode: _____ range: _____ minimum: _____ maximum: _____

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It is customary when describing the scores on an interval/ratio variable to report the values of which four statistics?

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You want to see the mean, standard deviation, minimum, and maximum for a variable. Name one SPSS procedure that would give you this.

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Answer the question that follows this SPSS output:   What is the mode? _______________

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What is the difference between central tendency and dispersion?

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You want to see the median, minimum, and maximum for a variable. Name one SPSS procedure that would give you this.

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A mean is

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It is customary when describing the scores on an ordinal variable to report the values of which three statistics?

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What univariate statistics are usually used to describe the distribution of cases on a nominal variable?

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Answer the questions that follow this SPSS output:   A) What is the value of the mode for this variable? __________ B) What is the value of the median for this variable? __________ C) What is the value of the minimum for this variable? __________ D) What is the value of the 25th percentile for this variable? __________

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The admissions office has ordinal-level data on parental income levels of enrolled students. What would an appropriate measure of central tendency be to report?

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If an ordinal variable has nine attributes, is the fifth attribute always the median? Explain your answer.

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