Exam 4: Exploring Data: Variability

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The interquartile range always

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Data Set 4-3: -2, -1, 0, 2, 6 -Refer to Data Set 4-3. The standard deviation S is

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An investigator wanted an estimate of the variance of a population. She drew a sample. Her last step would be to calculate

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From all the employees in a company, a small group was selected to participate in a study of employee satisfaction. The results of the study were to be used to make decisions about all the employees of the company. On one measure the following summary numbers were obtained: Σ\Sigma X= 30, Σ\Sigma X2 = 350, N = 12. Calculate the appropriate standard deviation.

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Compute the range, S^\hat{ S } , and σ\sigma for the numbers below. Use the raw-score method for S^\hat { S } and σ\sigma .1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

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Two distributions that have the same mean must have the same

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For the scores: -2, 0, 2, 5, the range is

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A sample of ten, which was part of a larger group the investigator was interested in, produced the following statistics: Σ\Sigma X= 20; Σ\Sigma X2 = 121. The standard deviation is

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Find S^\hat { S } using the definitional formula, which has Σ(XXˉ)2\Sigma ( X - \bar { X } ) ^ { 2 } in the numerator. -Scores: 7, 4, 3, 2

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From all the employees in a company, a small group was selected to participate in a study of employee satisfaction. The results of the study were to be generalized to all the employees of the company. To find the variability in satisfaction, the investigator should compute

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The formula for the standard deviation of a population has N in the denominator.

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The range is the distance between the two extreme scores.

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To calculate a variance of a distribution, double the standard deviation of the distribution.

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Which of the following distribution of scores is the most variable?

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Suppose you had a sample and you wanted to draw conclusions about the variability of a population. You should calculate

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When a standard deviation is squared, you get a number that is

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Which of the following distributions of scores is the least variable?

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Find S^\hat { S } using the definitional formula, which has Σ(XXˉ)2\Sigma ( X - \bar { X } ) ^ { 2 } in the numerator. -Scores: 9, 7, 4, 4, 1

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The officer in charge of personnel was trying to choose an operator for a radar scope. The task was to detect enemy aircraft and sound the alarm; this requires sustained vigilance. Some selection had already been accomplished and of the three remaining recruits the most reliable was to be chosen as operator. In a sample of their proficiency the following reaction times were found. Calculate statistics that will allow you to choose the most consistent candidate. Scores are in seconds. Candidate A Candidate B Candidate C 1.4 1.9 1.5 2.6 2.7 3.0 1.7 1.3 2.7 3.4 2.7 2.6 2.6 3.1 1.9

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Data Set 4-2: 5, 3, 9, 7, 6 -Referring to Data Set 4-2, the range is

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