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Explanation:
Step 1: Calculate the mean return
First, we need to calculate the arithmetic mean of the returns:
Mean = (-20.60 + 15.00 + 0.50 + 9.80 + 4.60) / 5 Mean = (9.30) / 5 = 1.86%
Step 2: Calculate absolute deviations from the mean
For each return, calculate the absolute difference from the mean (1.86%):
Step 3: Calculate the mean of absolute deviations
MAD = (22.46 + 13.14 + 1.36 + 7.94 + 2.74) / 5 MAD = 47.64 / 5 = 9.528%
Step 4: Compare with options
9.528% is closest to 9.53% (Option A).
Verification:
Therefore, the correct answer is A. 9.53%.
The returns of a fund are as follows:
| Year | Return (%) |
|---|---|
| 1 | -20.60 |
| 2 | 15.00 |
| 3 | 0.50 |
| 4 | 9.80 |
| 5 | 4.60 |
The mean absolute deviation (MAD) of returns for the fund is closest to:
A
9.53%
B
11.91%
C
13.69%