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Exam 4: Variability

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Question 21

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

A) 14/3 = 2.67
B) 14
C) 72
D) 78

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Question 22

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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.

A) $\sigma$ ² = 14
B) $\sigma$ ² = 16
C) $\sigma$ ² = 24
D) $\sigma$ ² = 144

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Question 23

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For a particular sample, 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 _____.

For a sample of n = 16 scores, how many scores are used to calculate the sample variance?

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

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

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

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

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

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?

Which set of scores has the smallest standard deviation?

A population with SS = 90 and a variance of 9 has N = 10 scores.

For a sample with M = 20 and s = 1, a score of X = 17 would be considered an extremely low score.

The sum of the squared deviation scores is SS = 20 for a population of N = 5 scores.What is the variance for this population?

What is the value of SS (sum of squared deviations) for the following sample? Sample: 1, 1, 1, 3

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

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

A sample consists of n = 16 scores.How many of the scores are used to calculate the range?

If you have a score of X = 76 on an exam with $\mu$ = 70 you should expect a better grade if ? = 10 than if ? = 5.