review problems set 1

# review problems set 1 - NEW YORK UNIVERSITY DEPARTMENT OF...

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NEW YORK UNIVERSITY DEPARTMENT OF ECONOMICS ECON-UB.18.011: Statistics, Fall 2011 REVIEW PROBLEMS: SET 1 Problem 1 The mean and standard deviation of a list of numbers are 50 and 10, respectively. Suppose that the number 20 is added to each number. What are the new values of the following descriptive measures? A) the mean, the standard deviation, the variance. B) Brie fl y explain your answers to A). Now suppose that each number on the original list was multiplied by the number 2. What are the new values of the following descriptive measures? C) The mean, the standard deviation, the variance. D) Brie fl y explain your answers to C). E) Brie fl y explain the di ff erences between your answers to A). and C). Problem 2 A list of 40 observations x 1 ...x 40 has a sample mean of 32 and the sample variance of 36. A) How many observations on the list have values between 20 and 44. B) Explain how each number on the list should be transformed so that the transformed list has a mean of zero.

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