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Answer: 0.23%
## Explanation To calculate the standard deviation of the mean (also known as the standard error), we use the formula: **Standard Error (SE) = (Standard Deviation) / √n** Where: - Standard Deviation = 1.8% - n = number of observations Since the analyst has collected monthly data for five years: - n = 5 years × 12 months/year = 60 observations **Calculation:** SE = 1.8% / √60 SE = 1.8% / 7.746 SE = 0.2323% ≈ 0.23% **Key Points:** - The standard error measures the precision of the sample mean as an estimate of the population mean - As sample size (n) increases, the standard error decreases - This is a fundamental concept in statistics for understanding sampling variability - The mean monthly return of 6% is not directly used in this calculation, as we only need the standard deviation and sample size
Author: Tanishq Prabhu
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An analyst gathers monthly data about the returns of a stock for the past five years. If the mean monthly return is 6% and the standard deviation of the series of returns is 1.8%, then what is the standard deviation of the mean over the period?
A
6.24%
B
0.23%
C
13.94%
D
4.02%