Troublesome coefficient of variation question

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To calculate the coefficient of variation (COV) for investments A, B, and C, the correct formula is the standard deviation divided by the expected profit, resulting in A: 0.1, B: 0.25, and C: 0.14. Investment A has the lowest COV, indicating it is the least risky option. A diagram illustrating the normal distribution of profits can help visualize the range of expected profits for each investment. Approximately 69% of the values fall within one standard deviation of the mean, providing a clearer understanding of risk levels. This statistical approach aids in comparing the relative risks of the investments effectively.
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Given the following data for three possibile investments, A, B and C, calculate the coefficient of variation and with the aid of a diagram explain which is the least risky investment.

Expected Profit: A - 100 B - 120 C - 140
Standard Devi.: A - 10 B - 30 C - 20

I presume to calculate the COV you divide the standard deviation by the mean, to give you:

A: 100/10 = 0.1 B: 30/120 = 0.25 C: 20/140 = 0.14

I am struggling with how/what sort of diagram to use and how to explain which is the least risky investment. Any ideas would be great.
 
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In your first calculation for COV, you have 100/10 and you should probably have 10/100.

Neither of the statistics books I have has a definition for coefficient of variation, so that's a new one on me.

Something that might be helpful is that in a normal distribution, about 69% of the values fall within one standard deviation of the mean. If the profits in these investments are normally distributed, then for investment A, we would expect that 69% of the time the profit would be between $90 and $110. If you look at each of the other investments in a similar manner you'll get a range of possible profits for each, so maybe you can determine the relative risk in this way.
 
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