Math, asked by vishalsgaikwad, 11 months ago

Find the mode of the following distribution table

Answers

Answered by sanjaykumar1810
0
where is the.table
can't see any
Answered by mannasusanabr04
0

Answer:


Step-by-step explanation:

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Question:



Find the mode of the following distribution of marks obtained by the students in an examination:


Marks obtained 0-20 20-40 40-60 60-80 80-100

Number of students 15 18 21 29 17


Given the mean of the above distribution is 53, using empirical relationship estimate the value of its median.

ANS:

Here modal class is 60-80, since it has a maximum frequency which is 29.



l= 60 , f1= 29, f0= 21, f2= 17, h= 20



Mode= l + (f1-f0/2f1-f0-f2) ×h



Mode= 60 +(29-21/2×29-21-17)× 20



Mode= 60 + (8/58-21-17)× 20



Mode= 60+ (8/37-17)×20



Mode= 60 + (8/20)×20



Mode = 60 + 8



Mode = 68



Hence, the mode marks is 68.

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