Calculate the Mean & SD from Median & IQR

Results

Mean:

SD:

Description of the formula

Variables Definitions

  1. Median: The middle value of a dataset, separating the higher half from the lower half.
  2. Q1 (First Quartile): The value below which 25% of the data falls.
  3. Q3 (Third Quartile): The value below which 75% of the data falls.
  4. Sample Size: The number of observations in the dataset.
  5. Mean: The average value of the dataset.
  6. Standard Deviation (SD): A measure of the amount of variation or dispersion in a set of values.

Conversion Formula

The conversion process involves the following steps:

The standard deviation is calculated here using the Wan et al method:

Formula Reference - Wan et al