For the following distribution :
Class |
0-5 |
5-10 |
10-15 |
15-20 |
20-25 |
Frequency |
10 |
15 |
12 |
20 |
9 |
the sum of lower limits of the median class and modal class is
(A) 15 (B) 25 (C) 30 (D) 35
Answer. [B]
Solution. Frequency distribution: It tells how frequencies are distributed over values in a frequency distribution. However mostly we use frequency distribution to summarize categorical variables.
Class | Frequency | Cumulative Frequency (C.F) |
0-5 | 10 | 10 |
5-10 | 15 | (10+15=25) |
10-15 | 12 | (25+12=37) |
15-20 | 20 | (37+20=57) |
20-25 | 9 | (57+9=66) |
N=66 |
which ies in the class 10-15.
Hence the median class is 10 – 15
The class with maximum frequency is modal class which is 15 – 20
The lower limit of median class = 10
The lower limit of modal class = 15
Sum = 10 + 15 = 25