CBSE 2025 · Region 6 · Set 1 · Q35 · 5 marks
Following distribution shows the marks of $\displaystyle 230$ students in a particular subject. If the median marks are $\displaystyle 46$, then find the values of $\displaystyle x$ and y . Marks Number of Students $\displaystyle 10$-$\displaystyle 20$ $\displaystyle 12$ $\displaystyle 20$-$\displaystyle 30$ $\displaystyle 30$ $\displaystyle 30$-$\displaystyle 40$ $\displaystyle x$ $\displaystyle 40$-$\displaystyle 50$ $\displaystyle 65$ $\displaystyle 50$-$\displaystyle 60$ y $\displaystyle 60$-$\displaystyle 70$ $\displaystyle 25$ $\displaystyle 70$-$\displaystyle 80$ $\displaystyle 18$
| Marks | Number of Students |
| $\displaystyle 10$-$\displaystyle 20$ | $\displaystyle 12$ |
| $\displaystyle 20$-$\displaystyle 30$ | $\displaystyle 30$ |
| $\displaystyle 30$-$\displaystyle 40$ | $\displaystyle x$ |
| $\displaystyle 40$-$\displaystyle 50$ | $\displaystyle 65$ |
| $\displaystyle 50$-$\displaystyle 60$ | y |
| $\displaystyle 60$-$\displaystyle 70$ | $\displaystyle 25$ |
| $\displaystyle 70$-$\displaystyle 80$ | $\displaystyle 18$ |
Marking-scheme solution
| Marks | Number of Students | Cf |
| $\displaystyle 10$-$\displaystyle 20$ | $\displaystyle 12$ | $\displaystyle 12$ |
| $\displaystyle 20$-$\displaystyle 30$ | $\displaystyle 30$ | $\displaystyle 42$ |
| $\displaystyle 30$-$\displaystyle 40$ | \(\displaystyle X\) | \(\displaystyle 42+x\) |
| $\displaystyle 40$-$\displaystyle 50$ | $\displaystyle 65$ | \(\displaystyle 107+x\) |
| $\displaystyle 50$-$\displaystyle 60$ | y | \(\displaystyle 107+x+\mathrm{y}\) |
| $\displaystyle 60$-$\displaystyle 70$ | $\displaystyle 25$ | \(\displaystyle 132+x+y\) |
| $\displaystyle 70$-$\displaystyle 80$ | $\displaystyle 18$ | \(\displaystyle 150+x+\mathrm{y}\) |
| $\displaystyle 230$ |
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.