# 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

• 10

• 12

• 13

• 14

#### Solution

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

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 22 Tabular Representation of Statistical Data
Q 5 | Page 26