Consider the data :

Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205
Frequency 4 5 13 20 14 7 4

The difference of the upper limit of the median class and the lower limit of the modal class is
(A) 0                (B) 19              (C) 20              (D) 38

Answers (1)

Answer.  [C]

Solution. Frequency distribution: It tells how frequencies are distributed overvalues in a frequency distribution. However mostly we use frequency distribution to summarize categorical variables.

Class Frequency Cumulative Frequency
65-85 4 4
85-105 5 (4+5=9)
105-125 13 (9+13=22)
125-145 20 (22+20=42)
145-165 14 (42+14=56)
165-185 7 (56+7=63)
185-205 4 (63+4=67)
  N = 67  

\frac{N}{2}= \frac{67}{2}= 33\cdot 5
Median class = 125 – 145
upper limit of median = 145
The class with maximum frequency is modal class which is 125 – 145
lower limit of modal class = 125
Difference of the upper limit of median and lower limit of modal = 145 – 125 = 20

 

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