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What is the variance? You?ve observed the following returns on Doyscher Corporat

ID: 446168 • Letter: W

Question

What is the variance?

You?ve observed the following returns on Doyscher Corporation?s stock over the past five years: ?25.2 percent. 13.8 percent, 30.6 percent, 2.4 percent. and 21.4 percent. Requirement 1: What was the arithmetic average return on the stock over this five-year period? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) Arithmetic average return 8.6 % Requirement 2: (a) What was the variance of the returns over this period? (Do not round intermediate calculations. Round your answer to 6 decimal places (e.g., 32.161 616).) Variance

Explanation / Answer

Average = 8.6

Variance = {(-25.2 - 8.6)^2 + (13.8 -8.6)^2 + (30.6 - 8.6)^2 + (2.4 - 8.6)^2 + (21.4 - 8.6)^2} / 5

= 1855.76 / 5 = 371.152

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