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Mathematics · 2025 · 5 marks
CBSE 2025 · Region 1 · Set 3 · Q34
The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table: Find…
The lengths of $\displaystyle 40$ leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :
Find the median length of the leaves.
| Length (in mm) | Number of Leaves |
| $\displaystyle 118$-$\displaystyle 126$ | $\displaystyle 3$ |
| $\displaystyle 127$-$\displaystyle 135$ | $\displaystyle 5$ |
| $\displaystyle 136$-$\displaystyle 144$ | $\displaystyle 9$ |
| $\displaystyle 145$-$\displaystyle 153$ | $\displaystyle 12$ |
| $\displaystyle 154$-$\displaystyle 162$ | $\displaystyle 5$ |
| $\displaystyle 163$-$\displaystyle 171$ | $\displaystyle 4$ |
| $\displaystyle 172$-$\displaystyle 180$ | $\displaystyle 2$ |
Marking-scheme solution
| Length (mm) | \(\displaystyle f_{i}\) | \(\displaystyle c f\) |
| $\displaystyle 117.5$-$\displaystyle 126.5$ | $\displaystyle 3$ | $\displaystyle 3$ |
| $\displaystyle 126.5$-$\displaystyle 135.5$ | $\displaystyle 5$ | $\displaystyle 8$ |
| $\displaystyle 135.5$-$\displaystyle 144.5$ | $\displaystyle 9$ | $\displaystyle 17$ |
| $\displaystyle 144.5$-$\displaystyle 153.5$ | $\displaystyle 12$ | $\displaystyle 29$ |
| $\displaystyle 153.5$-$\displaystyle 162.5$ | $\displaystyle 5$ | $\displaystyle 34$ |
| $\displaystyle 162.5$-$\displaystyle 171.5$ | $\displaystyle 4$ | $\displaystyle 38$ |
| $\displaystyle 171.5$-$\displaystyle 180.5$ | $\displaystyle 2$ | $\displaystyle 40$ |
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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.