Answer,
FORMULA
μ=Mean
σ=Standard deviation
N=Total number of population
xi=Each value of the population
Calculation of standard deviation
YEAR | Annual returns(xi) | Xi-μ | (Xi-μ)^2 |
1 |
14 | 9.33 | 87.11 |
2 | -3 | -7.67 | 58.78 |
3 | 8 | 3.33 | 11.11 |
4 | 21 | 16.33 | 266.78 |
5 | -16 | -20.67 | 427.11 |
6 | 4 | -0.67 | 0.44 |
TOTAL | 28 | 851.33 |
μ=28/6=4.67
Standard deviation=root of 851.33/6
the root of 141.89
=11.912
This is the method to find out the standard deviation but the option given is not matching. During the test, it is better to select a nearby amount so we can select 11.27 even though it is not precise answer to the question.
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