In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is :
a. 6
b. 7
c. 8
d. 12
Solution:
Consider x and y as the upper and lower class limit in a frequency distribution.
It is given that
Mid value of a class=10
(x + y)/2 = 10
x + y = 20 …. (1)
Width of a class=6
x - y = 6 …. (2)
By adding both the equations
2x = 20 + 6
2x = 26
Dividing both sides by 2
x = 13
Substitute x value in equation (1)
13 + y = 20
By further calculation
y = 20 - 13
y = 7
Therefore, the lower limit of the class is 7.
✦ Try This: In a frequency distribution, the mid value of a class is 12 and the width of the class is 8. The lower limit of the class is :
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14
NCERT Exemplar Class 9 Maths Exercise 14.1 Problem 3
In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is : a. 6, b. 7, c. 8, d. 12
Summary:
In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is 7
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