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Exam 4: Variability

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Question 21

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

A) 2
B) 4
C) 8
D) all 16

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Question 22

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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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Question 23

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

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

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

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

Which set of scores has the smallest standard deviation?

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

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

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.

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

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?

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.

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

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

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

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 _____.