Easily calculate the Mean Deviation about Median for your grouped data with our free online calculator. This powerful tool helps you measure the average absolute difference between each data point and the median, providing critical insight into the spread and variability of your frequency distribution. Simplify complex statistical computations and gain a deeper understanding of your data's central tendency.
Formula:
The formula for Mean Deviation about Median (MD) for grouped data is:
MD = Σf|x - M| / Σf
- MD = Mean Deviation about Median
- f = Frequency of each class
- x = Midpoint of each class
- M = Median of the grouped data
- Σf = Sum of frequencies (Total number of observations, N)
- |x - M| = Absolute deviation of midpoint from the Median
First, the Median (M) for grouped data is calculated using the formula:
M = L + [(N/2 - cfb) / fm] × w
- L = Lower boundary of the median class
- N = Total frequency (Σf)
- cfb = Cumulative frequency of the class before the median class
- fm = Frequency of the median class
- w = Class width of the median class