Draw the cumulative frequency curves for the following distribution:
| Marks | No. of Students |
| 0 – 10 | 4 |
| 10 – 20 | 8 |
| 20 – 30 | 11 |
| 30 – 40 | 15 |
| 40 – 50 | 12 |
| 50 – 60 | 6 |
| 60 – 70 | 3 |
From the graph, obtain the median.
To draw the cumulative frequency curve, we first need to calculate the cumulative frequency for each class interval.
Here's how we can calculate it:
| Marks | No. of Students | Cumulative Frequency |
|---|---|---|
| 0 – 10 | 4 | 4 |
| 10 – 20 | 8 | 4 + 8 = 12 |
| 20 – 30 | 11 | 12 + 11 = 23 |
| 30 – 40 | 15 | 23 + 15 = 38 |
| 40 – 50 | 12 | 38 + 12 = 50 |
| 50 – 60 | 6 | 50 + 6 = 56 |
| 60 – 70 | 3 | 56 + 3 = 59 |
Now, let's plot these cumulative frequencies on a graph.
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