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Homework 03 - Answers and Points

# Homework 03 - Answers and Points - HomeworkAssignment3...

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Psychology 60 Spring 2010 Homework Assignment 3 1. (2 points) What does it mean for a sample to have a standard deviation of zero? Describe the scores in such a sample. A sample with a standard deviation of zero can only occur when the SS are 0, which will only occur when all the values in the sample are the same. 2. (2 points) Explain why the sum of squared deviations, SS, can not ever be negative. The SS can never be negative because it is calculated by summing the squaring distances to the mean. Because the square of a negative number is positive, there is no way for the sum of squared values to be negative. 3. Calculate the SS, variance, and standard deviation for the following population of 6 scores: 11, 0, 8, 2, 4, 5 a. (2 points) SS = μ = 5, SS= (11-5) 2 +(0-5) 2 +(8-5) 2 +(2-5) 2 +(4-5) 2 +(5-5) 2 = 80 b. (1 point) Variance = SS/N, 80/6 = 13.33 (must use N not N-1 for any points) c. (1 point) Standard deviation = 13.33 = 3.65 4. Consider a sample consisting of 4 scores. The SS for this sample = 20. a. (2 points) What is the best estimate of the standard deviation of the population from which this sample is drawn? (SS/n-1) = (20/3) = (6.667) = 2.58 ( must use n-1 for any points) b. (2 points) What is the standard deviation of the scores in this particular sample ?

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Homework 03 - Answers and Points - HomeworkAssignment3...

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