Find the median of the data from the following distribution.
| Marks Obtained | No. of Students |
| Less than 10 | 8 |
| Less than 20 | 15 |
| Less than 30 | 29 |
| Less than 40 | 42 |
| Less than 50 | 60 |
| Less than 60 | 70 |
WBBSE
Class X
Mathematics
Statistics
4
2024
| Class int | Class boundary | frequency (f) | CF |
| 0 – 9 | 0 – 9.5 | 8 | 8 |
| 10 – 19 | 9.5 – 19.5 | 7 | 15 |
| 20 – 29 | 19.5 – 29.5 | 14 | 29 |
| 30 – 39 | 29.5 – 39.5 | 13 | 42 |
| 40 – 49 | 39.5 – 49.5 | 18 | 60 |
| 50 – 59 | 49.5 – 59.5 | 10 | 70 |
Median class = N\over2
= 70\over2
= 35th = 29.5 – 39.5
Median = 29.5 + 35 - 29\over13 × 10
= 29.5 + 6\over13 × 10
= 29.5 + 60\over13
= 34.115 marks
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