Find standard deviation. (Answer format: 0.XXXX)
Probability | Ri |
30% | 8% |
20% | 10% |
40% | 9% |
10% | 11% |
probability | return in % | return-average return | square of (return-average return) | probability*square of (return-average return) | ||
0.3 | 8 | -1.1 | 1.21 | 0.363 | ||
0.2 | 10 | 0.9 | 0.81 | 0.162 | ||
0.4 | 9 | -0.1 | 0.01 | 0.004 | ||
0.1 | 11 | 1.9 | 3.61 | 0.361 | ||
average return =(probability1*return)+(probility 2* return)+(probability 3*return)+(probability4*return) | (.3*8)+(.2*10)+(.4*9)+(.1*11) | 9.1 | Variance = sum of probability*square of (return-average return) | 0.89 | 0.943398 | |
standard deviation = square root of variance =Using SQRT function in M s excel =sqrt(.89) | 0.9433 |
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