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Mathematics · 2025 · 5 marks
CBSE 2025 · Region 2 · Set 3 · Q34
Find the Mean and Mode of the following data:
Find the Mean and Mode of the following data :
| Class | Frequency |
| $\displaystyle 4$-$\displaystyle 8$ | $\displaystyle 2$ |
| $\displaystyle 8$-$\displaystyle 12$ | $\displaystyle 12$ |
| $\displaystyle 12$-$\displaystyle 16$ | $\displaystyle 15$ |
| $\displaystyle 16$-$\displaystyle 20$ | $\displaystyle 25$ |
| $\displaystyle 20$-$\displaystyle 24$ | $\displaystyle 18$ |
| $\displaystyle 24$-$\displaystyle 28$ | $\displaystyle 12$ |
| $\displaystyle 28$-$\displaystyle 32$ | $\displaystyle 13$ |
| $\displaystyle 32$-$\displaystyle 36$ | $\displaystyle 3$ |
Marking-scheme solution
| Class | frequency \(\displaystyle \left(f_{\mathrm{i}}\right)\) | \(\displaystyle x_{\mathrm{i}}\) | \(\displaystyle u_{\mathrm{i}=\frac{x_{i}-22}{4}}\) | \(\displaystyle f_{\mathrm{i}} u_{\mathrm{i}}\) |
| $\displaystyle 4$-$\displaystyle 8$ | $\displaystyle 2$ | $\displaystyle 6$ | -$\displaystyle 4$ | -$\displaystyle 8$ |
| $\displaystyle 8$-$\displaystyle 12$ | $\displaystyle 12$ | $\displaystyle 10$ | -$\displaystyle 3$ | -$\displaystyle 36$ |
| $\displaystyle 12$-$\displaystyle 16$ | $\displaystyle 15$ | $\displaystyle 14$ | -$\displaystyle 2$ | -$\displaystyle 30$ |
| $\displaystyle 16$-$\displaystyle 20$ | $\displaystyle 25$ | $\displaystyle 18$ | -$\displaystyle 1$ | -$\displaystyle 25$ |
| $\displaystyle 20$-$\displaystyle 24$ | $\displaystyle 18$ | \(\displaystyle 22=\mathrm{a}\) | $\displaystyle 0$ | $\displaystyle 0$ |
| $\displaystyle 24$-$\displaystyle 28$ | $\displaystyle 12$ | $\displaystyle 26$ | $\displaystyle 1$ | $\displaystyle 12$ |
| $\displaystyle 28$-$\displaystyle 32$ | $\displaystyle 13$ | $\displaystyle 30$ | $\displaystyle 2$ | $\displaystyle 26$ |
| $\displaystyle 32$-$\displaystyle 36$ | $\displaystyle 3$ | $\displaystyle 34$ | $\displaystyle 3$ | $\displaystyle 9$ |
| Total | $\displaystyle 100$ | -$\displaystyle 52$ |
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CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.