- Option : A
- Explanation :
**Geometric mean**= RG=[(1 + R1)(1 + R2)…(1 + Rn)] /n – 1**Geometric Mean**=[(1-0.08)*(1+0.02*(1-0.04)*(1+0.07)*(1+.12)]/15-1=1.5%

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47. Considering the following set of numbers (which have been arranged in ascending order)

39 | 40 | 41 | 41 | 41 |

43 | 48 | 53 | 55 | 55 |

- Option : B
- Explanation : The mode is the most frequent value in the set of items and thus is equal to 41. The mean is the average value from the set of items and is computed as follows: Mean = Sum of observations / Number of observations = 456 / 10 = 45.6 The median is the value of the middle item of a set of items. For even number of observations, the median is equal to the average of the middle two values. The median is thus the average of 41 and 43. Median = 42. Therefore, the median is smaller than the mean but larger than the mode.

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- Option : A
- Explanation : Add one to each of the given returns, then multiply them together, then take the fifth root of the resulting product. 1.18 × 1.12 × 0.95 × 0.90 × 1.07 = 1.209066. 1.209066 raised to the 0.20 power is 1.0387. Subtracting one and multiplying by 100 gives the correct geometric mean return of 3.87%.

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- Option : A
- Explanation : The geometric mean return is calculated as = [(1 + 0.05) × (1 + 0.11) × (1 − 0.06) × (1 + 0.00)]0.25 − 1 = 0.0231 ~ 2.3%

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