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Estimating the sample mean and standard deviation from the sample size, median, range and/or interquartile range

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Figure

Table 1 Values of ξ(n) in the formula (7) and the formula (12) for n ≤ 50
Table 2 Values of η(n) in the formula (12) and the formula (15) for Q ≤ 50, where n = 4Q + 1
Figure 1 Relative errors of the sample standard deviation estimation for normal data, where the red lines with solid circles representHozo et al.’s method, and the green lines with empty circles represent the new method.
Figure 2 Relative errors of the sample standard deviation estimation for non-normal data (log-normal, beta, exponential and Weibull),where the red lines with solid circles represent Hozo et al.’s method, and the green lines with empty circles represent the new method.
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