Exam 4: Normal Distributions

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Approximately what percentage of scores fall within one standard deviation of the mean?

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Lucille took the same exam, but received a 78 on it. What was her approximate percentile rank?

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A leptokurtic distribution of a variable:

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When statisticians refer to the distribution of a variable as "skewed," they mean that a frequency polygon for the variable:

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A z-score is:

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If the research sample contained 500 students, approximately how many had 21 or fewer friends?

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One hundred students took a statistics mid-term exam. The scores formed a normal distribution with a mean of 84 and a standard deviation of 6. Elice's grade was a 92. What was her approximate percentile rank?

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In a research sample of high school students, the variable "number of MySpace friends" formed a normal distribution with a mean of 45 and a standard deviation of 16. Valentina had 53 friends. What was her approximate percentile rank?

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In the standard normal distribution:

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What does it mean when we say that a measurement instrument such as the SAT is a standardized test?

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Approximately what percentage of scores of a normal distribution fall below -2 standard deviations?

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Which of the following z-scores would fall at the lowest percentile?

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