What is the mode of a frequency distribution?

Answer 1

The Mode: The mode is defined as the most frequently observed value. For grouped data, the mode is the most commonly observed category, and for ungrouped data, the mode is the value which occurs most frequently. For a grouped frequency distribution, the mode is given by Mo = l1 + ((f1 - f0)/(2f1 - f0 - f2))*(l2 - l1) where: l1 - l2= the modal class f1= frequency of the modal class f2= Frequency of the class following the modal class f0= Frequency of the class following the modal class Using the same example for computation of the mode, the modal class is identified as the mean of the category and is used for the responses in the computation of the mode. Cumulative

X Freq Frequency (Less Than)

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Age 11-13 10 10

Group 14-16 17 27

17-19 23 50 <--- Modal Class

20-22 18 68 <--- Median Class

23-25 10 78

26-28 8 86 Median = 103/2=51.5

29-31 5 91

32-34 4 95

35-37 4 99

38-40 3 102

41-43 1 103

S=103

l2 - l1 = (17-19) = 2, f1 = 23, f0 = 17, f2 = 18 Mo = 17 + ((23-17)/(2*23-17-18))*(2) = 17 + (6/11)*2 =18.091