# Mean Deviation about Median for Grouped Data Calculator

In statistics, Mean deviation can be defined as the mean of the distances of each value from their mean. It is also known as the mean absolute deviation, abbreviated as MAD. In the below calculator, input the statistically grouped data (continuous/discrete frequency distribution) and the frequencies separated by comma, the Mean Deviation about Median for Grouped Data calculator will update you with the median value and the mean deviation (MAD) value.

In statistics, Mean deviation can be defined as the mean of the distances of each value from their mean. It is also known as the mean absolute deviation, abbreviated as MAD. In the below calculator, input the statistically grouped data (continuous/discrete frequency distribution) and the frequencies separated by comma, the Mean Deviation about Median for Grouped Data calculator will update you with the median value and the mean deviation (MAD) value.

Code to add this calci to your website  #### Formula:

Mean = Multiplies of frequency data / Total value of frequency M.D (about median) = ∑ (f |X−Median|) / N Where, X = Data f = Frequency Data M.D = Mean Deviation N = Sum of Frequency Data

### Example:

Find the MD of x=2,4,6,8 and f=3,4,5,6

#### Step 1 :

Find the mean of the data :
((2*3)+(4*4)+(6*5)+(8*6)) / (3+4+5+6) = 100/18 = 5.55

#### Step 2 :

Find the distance between each number data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3

#### Step 3 :

Multiply this each distance value with each frequency data:
(3*3)+(1*4)+(1*5)+(3*6) = 36

#### Step 4 :

Divide it by the sum of frequency data :
36/ (3+4+5+6) = 2
2 is the Mean Deviation.