The mode of the following data is 67

Asked by admin @ 25/08/2021 in Math viewed by 353 People

Determine the missing frequency x from the following data when the mode is 67

40-50; 50-60; 60-70; 70-80; 80-90
5 x 15 12 7

Answered by admin @ 25/08/2021

class f

40-50 5

50-60 x

60-70 15

70-80 12

80-90 7

mode = L + (f1-f0/2f1-f0-f2)h

67 = 60+(15-x /30-x-12)10

7=(15-x/18-x)10

7/10=15-x/18-x

7(18-x)=10(15-x)

126-7x=150-10x

3x=24

x=8

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