Question

# Question 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

Solution

## The answer is B. Let x and y be the upper and lower class limit in a frequency distribution. Now, mid value of a class =x+y2=10    [given] ⇒x+y=20……(i) Also, given that, width of class = 6 ⇒x−y=6……(ii) On adding equations (i) and (ii), we get, 2x=20+6 ⇒2x=26⇒x=13 On putting x = 13 in (i), we get, 13+y=20⇒y=7 Hence, the lower limit of the class is 7.

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