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Question

# Find the mode of the given data. Class Frequency 0âˆ’52005âˆ’1025010âˆ’1522515âˆ’2030020âˆ’25275

A
18.5
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B
18.75
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C
18.25
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D
19.75
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Solution

## The correct option is B 18.75Modal class is 15-20 since it is the class with highest frequency. Now, f1 = 300, f0 = 225, f2 = 275, I = 15, h = 5 Mode=l+[f1−f02f1−f0−f2]×h f1 represents the frequency of the modal class. Also, l= lower boundary of the modal class h= size of the modal class interval f0= frequency of the class preceding the modal class f2= frequency of the class succeeding the modal class Mode=15+[300−2252×300−225−275]×5 ∴Mode=18.75

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