If the marks scored by the students in a class test out of 50 then, Find the Median of the following data:
| Marks | Frequency |
| 0-10 | 5 |
| 10-20 | 8 |
| 20-30 | 6 |
| 30-40 | 6 |
| 40-50 | 5 |
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 23.3.
| Marks | Frequency | Cumulative frequency |
|---|---|---|
| 0-10 | 5 | 5 |
| 10-20 | 8 | 13 |
| 20-30 | 6 | 19 |
| 30-40 | 6 | 25 |
| 40-50 | 5 | 30 |
Total N = 30
Median class = N/2 = 30/2 = 15
The 15th observation lies in (20 - 30)
L = Lower boundary of the median class = 20
CF = Cumulative frequency of the class just before the median class = 13
f = Frequency of the median class = 6
h = Class width (size of each class interval) = 10
Median
= 20 + 10/3
≈ 23.3