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

First Scenario:

  Size of the sample

  Minimum of the sample

  Median of the sample

  Maximum of the sample

   Reset         Calculate   

  Estimated mean of the sample from Hozo et al. (2005)

  Estimated standard deviation of the sample from Hozo et al. (2005)

  Estimated mean of the sample from Luo et al. (2017)

  Estimated standard deviation of the sample from Wan et al. (2014)

Second Scenario:

  Size of the sample

  First quantile of the sample

  Median of the sample

  Third quantile of the sample

   Reset         Calculate   

  Estimated mean of the sample from Luo et al. (2017)

  Estimated standard deviation of the sample from Wan et al. (2014)

Third Scenario:

  Size of the sample

  Minimum of the sample

  First quantile of the sample

  Median of the sample

  Third quantile of the sample

  Maximum of the sample

   Reset         Calculate   

  Estimated mean of the sample from Luo et al. (2017)

  Estimated standard deviation of the sample from Wan et al. (2014)

Reference:

Dehui Luo, Xiang Wan, Jiming Liu and Tiejun Tong, "Optimally estimating the sample mean from the sample size, median, mid-range and/or mid-quartile range," Statistical Methods in Medical Research 2017, In press.

Xiang Wan, Wenqian Wang, Jiming Liu and Tiejun Tong, "Estimating the sample mean and standard deviation from the sample size, median, range and/or interquartile range," BMC Medical Research Methodology 2014, 14: 135.

S.P. Hozo, B. Djulbegovic, and I. Hozo, "Estimating the Mean and Variance from the Median, Range, and the Size of a Sample," BMC Medical Research Methodology 2005, 5:13
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