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Name:_________________________ Chapter Exercises Chapter 4: Summarizing Data: Variability 1. What are the

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Name:_________________________

Chapter Exercises

Chapter 4: Summarizing Data: Variability

1. What are the degrees of freedom for sample variance in the following samples? Hint: The degrees of freedom are located in the denominator of the sample variance formula.

(a) n = 50 df = __________

(b) n = 10 df = __________

(c) n = 12 df = __________

(d) n = 120 df = __________

(e) n = 75 df = __________

2. Given the following data taken from a sample of students on the number of hours they reported studying a week, please calculate the variance 5, 3, 24, 34, 11, 16, 28, and 7. Show your work.

3. Using the same data of the previous question, would be the standard deviation of this sample? Show your work.

4. In your own words, please describe what the standard deviation of this data set says about the number of hours students reported studying?

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