In a Frequency Distribution, the Mid-value of a Class is 15 and the Class Intervals is 4. the Lower Limit of the Class is - Mathematics

MCQ

In a frequency distribution, the mid-value of a class is 15 and the class intervals is 4. The lower limit of the class is

Let l and m respectively be the lower and upper limits of the class. Then the mid-value of the class is `(l+m)/2` and the class-size is(m-l) .

Therefore, we have two equations

`(l+m)/2 = 15`

⇒ l + m = 30

m - l = 4

Subtracting the second equation from the first equation, we have

`(l+m)-(m-l)=30-4`

`⇒l+m-m+l=26`

`⇒2l=26`

`⇒l=13`

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Chapter 22 Tabular Representation of Statistical Data
Q 5 | Page 26