The rate of return on Cherry Jalopies, Inc., stock over the last five years was 21 percent, 11 percent, -3 percent, 5 percent, and 8 percent. Over the same period, the return on Straw Construction Company’s stock was 16 percent, 22 percent, -2 percent, 5 percent, and 18 percent. Calculate the variances and the standard deviations for Cherry and Straw. ( Do not round intermediate calculations. Enter your variance as a decimal rounded to 5 decimal places. Enter your standard deviation as a percent rounded to 2 decimals.
Cherry Jalopies, Inc.:
Average Return = [0.21 + 0.11 + (-0.03) + 0.05 + 0.08] / 5
Average Return = 0.42 / 5
Average Return = 0.084 or 8.40%
Variance = [(0.21 - 0.084)^2 + (0.11 - 0.084)^2 + (-0.03 -
0.084)^2 + (0.05 - 0.084)^2 + (0.08 - 0.084)^2] / 4
Variance = 0.03072 / 4
Variance = 0.00768
Standard Deviation = (0.00768)^(1/2)
Standard Deviation = 0.0876 or 8.76%
Straw Construction Company:
Average Return = [0.16 + 0.22 + (-0.02) + 0.05 + 0.18] / 5
Average Return = 0.59 / 5
Average Return = 0.118 or 11.80%
Variance = [(0.16 - 0.118)^2 + (0.22 - 0.118)^2 + (-0.02 -
0.118)^2 + (0.05 - 0.118)^2 + (0.18 - 0.118)^2] / 4
Variance = 0.03968 / 4
Variance = 0.00992
Standard Deviation = (0.00992)^(1/2)
Standard Deviation = 0.0996 or 9.96%
The rate of return on Cherry Jalopies, Inc., stock over the last five years was 21...
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