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Ungrouped Data

Find the mean, median, mode of the following observations. 4,6,8,6,7,8,8

Ungrouped Data

Find Mean, Median, Mode for Ungrouped data 4,6,8,6,7,8
Mean X' = ^{∑Xi}/_{n} = ^{(4 + 6 + 8 + 6 + 7 + 8)}/_{6} = ^{39}/_{6} = 6.5
Arranging Observations in the ascending order, We get : 4, 6, 6, 7, 8, 8 Here, n = 6 is even. Median : M = ^{(Value of n/2 th observation + Value of (n/2 + 1) th observation)}/_{2} = ^{(Value of 6/2th observation + Value of (6/2 + 1) th observation)}/_{2} = ^{(Value of 3rd observation + Value of 4th observation)}/_{2} = ^{(6 + 7)}/_{2} = 6.5
Mode : In the given data, the observation 6,8 occurs maximum number of times (2) ∴ Z = 6,8







