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Exam 4: Variability.

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Question 21

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A population has µ = 50 and σ = 5.If 10 points are added to every score in the population,what are the new values for the mean and standard deviation?

A) µ = 50 and σ = 5
B) µ = 50 and σ = 15
C) µ = 60 and σ = 5
D) µ = 60 and σ = 15

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Question 22

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

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Question 23

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Under what circumstances is the computational formula preferred over the definitional formula when computing SS,the sum of the squared deviations,for a sample?

After a researcher multiplies every score in a sample by 2,the standard deviation is found to be s = 10.The original sample had a standard deviation of s = 5.

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

A population of N = 5 scores has ΣX = 20 and ΣX² = 100.For this population,what is the value of SS?

Which set of scores has the smallest standard deviation?

For a population with µ = 60,which of the following values for the population standard deviation would cause X = 68 to have the most extreme position in the distribution?

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

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

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

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

Which of the following symbols identifies the sample variance?

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

In a population of N = 10 scores,the smallest score is X = 8 and the largest is X = 20.What is the range for this population?

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 10 points.

A sample of n = 5 scores has ΣX = 20 and ΣX² = 120.For this sample,what is the value of SS?

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

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

A population of N = 6 scores has ΣX = 12 and ΣX² = 54.What is the value of SS for this population?