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0 votes
2.3k views
in Statistics by (35.6k points)
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The width of the class in the distribution having class intervals 1 – 20, 21 – 40,41 – 60 is 

A) 19 

B) 19.5 

C) 20 

D) 20.5

2 Answers

+1 vote
by (66.4k points)
selected by
 
Best answer

Correct option is: C) 20

Since, class intervals 1-20, 21-40, 41-60 are of inclusive type,

So, we have to convert it into exclusive type of class intervals.

\(\because\) Difference between two consecutive intervals is 1.

\(\therefore\) We have to subtract \(\frac 12\) or 0.5 from lower limit of each class and add 0.5 in upper limit of each class to convert class intervals into exclusive type.

\(\therefore\) 0.5 - 20.5, 20.5-40.5, 40.5 - 60.5 are class intervals of exclusive type 

Width of the class intervals = Upper limit - Lower limit

= 20.5 - 0.5 or 40.5 - 20.5 or 60.5 - 40.5 = 20

Hence, width of the class intervals is 20

Alternate Method:

\(\because\) Given class intervals 1-20, 21-40, 41-60 is of inclusive type.

\(\therefore\) Width of the class intervals = Upper limit - Lower limit + Difference between two consecutive classes

= 20-1 +1 or 40-21 + 1 or 60-41+1

= 20

+1 vote
by (34.5k points)

Correct option is: C) 20

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