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Exam 4: Measures of Variability

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Question 41

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What are the values for SS and variance for the following sample of n = 4 scores? Sample: 1,1,0,4

A) SS = 9 and variance = 3
B) SS = 9 and variance = 2.25
C) SS = 18 and variance = 6
D) SS = 18 and variance = 9

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Question 42

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For a population of scores,the sum of the deviation scores is equal to N.

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Question 43

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A sample of n = 25 scores is selected from a population with a variance of σ² = 16,and the variance is computed for the sample using n - 1.The sample variance probably will be smaller than 16.

For a particular population,the largest distance (deviation) between a score and the mean is 11 points.The smallest distance between a score and the mean is 4 points.Therefore,the standard deviation _____.

A population of N = 100 scores has µ = 30 and σ = 4.What is the population variance?

If sample variance is computed by dividing SS by df = n - 1,then the average value of the sample variances from all possible random samples will be _______ the population variance.

The range and the standard deviation are both measures of distance.

A population of scores has µ = 50 and σ = 5.If every score in the population is multiplied by 3,then what are the new values for the mean and standard deviation?

It is easier to see the mean difference between two samples if the sample variances are small.

In a population with a mean of μ = 40 and a standard deviation of σ = 8,a score of X = 46 would be an extreme value,far out in the tail of the distribution.

What is the variance for the following population of scores? Scores: 5,2,5,4

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

A sample of n = 6 scores has a standard deviation of s = 3.What is the value of SS,the sum of the squared deviations for this sample?

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: 1,3,2,2

If sample variance is computed by dividing SS by n,then the average value of the sample variances from all the possible random samples will be _______ the population variance.

What is the value of SS (sum of squared deviations) for the following sample? Sample: 1,1,1,7

If you have a score of X = 66 on an exam with  = 70,you should expect a better grade if σ = 10 than if σ = 5.

A sample with SS = 40 and a variance of 8 has n = 5 scores.

One sample is selected to represent scores in treatment 1 and a second sample is used to represent scores in treatment 2.Which set of sample statistics would present the clearest picture of a real difference between the two treatments?