Grouped Mean Median Mode Calculation Formula - Measures Of Central Tendency


Formula

Estimated Mean = Midpoint Total Frequency / Total Frequency
Estimated Median = L + (((( n / 2) - cfb) / fm ) * w)
Estimated Mode = LM + ( ( (fmg - fmpre ) / (fmg - fmpre) + (fmg - fmnext)) * w )


Where,

L = Lower Class Boundary of the Group Containing the Median
n = Total Number of Data
cfb = Cumulative Frequency of the Groups Before the Median Group
fm = Frequency of the Median Group
w = Group Width
LM = Class Boundary of the Modal Group
fmpre = Frequency of the Group Before the Modal Group
fmg = Frequency of the Modal Group
fmnext = Frequency of the Group After the Modal Group


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