Question

calculate the mode of following series class interval 0-5 5-10 10-15 15-20 20-25 25-30 frequency 20 , 24 , 32 , 28 , 20 , 26​

Answer 1

Explanation:

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Answer 2

class interval 0-5, 5-10, 10-15, 15-20, 20-25, 25-30

frequency      20 ,  24 ,   32 ,    28 ,     20 ,      26​

For the given data arithmetic mode is 13.333.

Highest frequency lies in 10-15 range i.e. 32

Therefore,

Mode = L+[(f1−f0)/ (2f1−f0−f2)]×i

L = Lower limit of modal class =10

f1 = Frquencey of modal class = 32

f0= Frquencey of pre-modal class =24

f2 =  Frquencey of class succeeding modal class =28

i = Class interval = 5

⇒10+[(32−24)/ (2*32−24−28)]×5

⇒10+ (8/12)*5

⇒10+40/12

⇒160/12

⇒13.333