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Compute the mode of the following data: Class0-2020-4040-606

Question

Compute the mode of the following data:
Class $0 - 20$ $20 - 40$ $40 - 60$ $60 - 80$ $80 - 100$
Frequency $25$ $16$ $28$ $20$ $5$

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Compute the mode of the following data:

Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$
Frequency	$25$	$16$	$28$	$20$	$5$

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Text solutionVerified

Here :

Maximum class frequency

= 28

The class corresponding to Maximum class frequency is the modal class.

So, Modal class

= 40 - 60

Lower limit

= I = 40

Modal class size

= h = 20

Frequency of class preceding the modal class

= f_{0} = 16

Frequency of the modal class

= f_{1} = 28

Frequency of class succeeding the modal

= f_{2} = 20

Mode formula is given by,

Mode

= I + (\frac{f _{1} - f _{0}}{2 f _{1} - f _{0} - f _{2}}) \times h

Mode

= 40 + (\frac{28 - 16}{2 ( 28 ) - 16 - 20}) \times 20

= 40 + \frac{12}{20} \times 12

= 47.2

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Question Text	Compute the mode of the following data:
Answer Type	Text solution:1
Upvotes	150