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Exam 4: Variability

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Question 41

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A set of 10 scores has SS = 90.If the scores are a sample,the sample variance is ____ and if the scores are a population,the population variance is ____.​

A) ​s² = 9; σ² = 9
B) ​s² = 9; σ² = 10
C) ​s² = 10; σ² = 9
D) ​s² = 10; σ² = 10

E) B) and C)
F) C) and D)

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Question 42

Multiple Choice

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A population has sum of squared deviations,SS = 100 and variance,s2 = 4.What is the value of S(X - m) for the population?​

A) ​0
B) ​25
C) ​100
D) ​400

E) None of the above
F) B) and C)

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Question 43

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The smallest score in a population is X = 5 and the largest score is X = 10.Based on this information,you can conclude that the____.​

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

For a population of N = 4 scores with ΣX = 10 and ΣX² = 30,SS = 5.​

A sample of n = 25 scores is selected from a population with a variance of σ2 = 16.The sample variance will be smaller than 16.​

For a sample of n = 6 scores with ΣX = 30 and ΣX² = 200,SS = 20.​

What is the value of SS (sum of squared deviations) for the following population?Population: 1,1,1,5​

A population of N = 5 scores has ΣX = 20 and ΣX2 = 100.For this population,what is the value of SS (sum of squared deviations) ?​

A positive deviation always indicates a score that is less than the mean.​

If the scores in a population range from a low of X = 5 to a high of X = 14,then the population standard deviation must be less than 15.​

Calculate the variance and the standard deviation for the following sample data.Scores: 10,7,9,1,2,0,6​

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

To calculate the variance for a sample,SS is divided by df = n - 1.​

What is the value of SS (sum of squared deviations) for the following sample? Sample: 2,3,4,7​