Question :
Determine the missing frequency x of the following frequency distribution , if mode is 67
Class | Frequency
40 - 50 | 5
50 - 60 | x
60 - 70 | 15
70 - 80 | 12
80 - 90 | 7
Determine the missing frequency x of the following frequency distribution , if mode is 67
Class | Frequency
40 - 50 | 5
50 - 60 | x
60 - 70 | 15
70 - 80 | 12
80 - 90 | 7
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Answer:
x = 8
Step-by-step explanation:
Mode = I + f1−f0/2f1−f2−f0 x h
67 = 60 + (15−x/30−12−x)*10
7 = 15−x/18−x*10
7x(18 - x) = 10(15 - x)
126 - 7x = 150 - 10x
3x = 150 - 126
3x = 24
x = 8