Find the mode of the following frequency distribution 0 10

Asked by admin @ 03/08/2021 in Math viewed by 297 People

find the mode of the following frequency distribution. 0-10 10- 20 20-30 30-40 40-50 50-60 60-70 with frequencies 8 , 10,10 ,16 ,12 ,6, 7

Answered by admin @ 03/08/2021

Answer:

Step-by-step explanation:

Find the mode of the following frequency distribution. 0-10 10- 20 20-30 30-40 40-50 50-60 60-70 with frequencies 8 , 10,10 ,16 ,12 ,6, 7

0-10 8 8

10-20 10 18

20-30 10 28

30-40 16 44

40-50 12 56

50-60 6 62

60-70 7 69

Mode lies in 30-40 as it has maximum frequency = 16

Estimated Mode = L + { (fm − fm-1)/((fm − fm-1) + (fm − fm+1)) } × w

L = 30

fm = 16

fm-1 = 10

fm+1 = 12

w = 10

Estimated Mode = 30 + { (16-10)/( 16 - 10 + 16-12) } * 10

= 30 + (6/10 ) * 10

= 30 + 6

= 36

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