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Mathematics · 2022 · 3 marks
CBSE 2022 · Region 1 · Set 2 · Q9
If the median of the following data is $\displaystyle 33$ then, find the value of m : Class $\displaystyle 0$-$\displaystyle 15$ $\displaystyle 15$-$\displaystyle 30$ $\displaystyle 30$-$\displaystyle 45$ $\displaystyle 45$-$\displaystyle 60$ $\displaystyle 60$-$\displaystyle 75$ $\displaystyle 75$-$\displaystyle 90$ Frequency $\displaystyle 17$ $\displaystyle 35$ $\displaystyle 40$ $\displaystyle 18$ m $\displaystyle 2$
| Class | $\displaystyle 0$-$\displaystyle 15$ | $\displaystyle 15$-$\displaystyle 30$ | $\displaystyle 30$-$\displaystyle 45$ | $\displaystyle 45$-$\displaystyle 60$ | $\displaystyle 60$-$\displaystyle 75$ | $\displaystyle 75$-$\displaystyle 90$ |
| Frequency | $\displaystyle 17$ | $\displaystyle 35$ | $\displaystyle 40$ | $\displaystyle 18$ | m | $\displaystyle 2$ |
Marking-scheme solution
| Class | \(\displaystyle f\) | c.f. |
| $\displaystyle 0$-$\displaystyle 15$ | $\displaystyle 17$ | $\displaystyle 17$ |
| $\displaystyle 15$-$\displaystyle 30$ | $\displaystyle 35$ | $\displaystyle 52$ |
| $\displaystyle 30$-$\displaystyle 45$ | $\displaystyle 40$ | $\displaystyle 92$ |
| $\displaystyle 45$-$\displaystyle 60$ | $\displaystyle 18$ | $\displaystyle 110$ |
| $\displaystyle 60$-$\displaystyle 75$ | \(\displaystyle m\) | \(\displaystyle 110+m\) |
| $\displaystyle 75$-$\displaystyle 90$ | $\displaystyle 2$ | \(\displaystyle 112+m\) |
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CBSE Class 10 Mathematics past-paper question from the 2022board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.