Exam 4: Measures of Variability

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A population has SS = 100 and 2 = 4.What is the value of (X - )for the population?

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For a population with µ = 70 and σ = 5,about 95% of the individuals will have scores between X = 65 and X = 75.

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If the population variance is 4,then the standard deviation will be σ = 16.

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After a researcher adds 5 points to every score in a sample,the standard deviation is found to be s = 10.The original sample had a standard deviation of s = 5.

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To calculate the variance for a population,SS is divided by N.

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On an exam with a mean of μ = 70,you have a score of X = 75.Which of the following values for the standard deviation would give you the highest position within the class?

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What is the range for the following set of scores? Scores: 5,7,9,15

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What are the values for SS and variance for the following sample of n = 3 scores? Sample: 1,4,7

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Multiplying every score in a sample by 3 will not change the value of the standard deviation.

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For the following sample,use the computational formula to calculate SS and then compute the sample variance and standard deviation.Scores: 1,3,1,1

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If the population variance is 5,then the population standard deviation is σ = 25.

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A sample of n = 9 scores has a variance of s2 = 18.If the scores were a population,what value would be obtained for the population variance.

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A population of N = 10 scores has a standard deviation of = 2.What is the value of SS,the sum of the squared deviations,for this population?

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A sample of n = 8 scores has SS = 50.If these same scores were a population,then the SS value for the population would be _____.

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What is the value of SS for the following set of scores? Scores: 0,1,4,5

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On an exam with a mean of μ = 70,you have a score of X = 65.Which of the following values for the standard deviation would give you the highest position within the class?

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What is the value of SS for the following set of scores? Scores: 8,3,1.

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What is the value of SS (sum of squared deviations)for the following population? Population: 2,3,0,5

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If you have a score of X = 76 on an exam with = 70,you should expect a better grade if σ = 10 than if σ = 5.

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Calculate the variance and the standard deviation for the following sample data.Scores: 1,0,3,1,2,4,0,1

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