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Mathematics · 2022 · 3 marks
CBSE 2022 · Region 1 · Set 3 · Q9
For what value of x, is the median of the following frequency distribution 34•5?
For what value of x, is the median of the following frequency distribution $\displaystyle 34$•$\displaystyle 5$ ?
Marking-scheme solution
Median class is $\displaystyle 30$-$\displaystyle 40$
| Class | Frequency | c.f. |
| $\displaystyle 0$-$\displaystyle 10$ | $\displaystyle 3$ | $\displaystyle 3$ |
| $\displaystyle 10$-$\displaystyle 20$ | $\displaystyle 5$ | $\displaystyle 8$ |
| $\displaystyle 20$-$\displaystyle 30$ | $\displaystyle 11$ | $\displaystyle 19$ |
| $\displaystyle 30$-$\displaystyle 40$ | $\displaystyle 10$ | $\displaystyle 29$ |
| $\displaystyle 40$-$\displaystyle 50$ | $\displaystyle x$ | $\displaystyle 29+x$ |
| $\displaystyle 50$-$\displaystyle 60$ | $\displaystyle 3$ | $\displaystyle 32+x$ |
| $\displaystyle 60$-$\displaystyle 70$ | $\displaystyle 2$ | $\displaystyle 34+x$ |
| $\displaystyle \therefore 34 \cdot 5=30+\frac{10}{10}\left(\frac{34+x}{2}-19\right)$ | ||
| $\displaystyle \Rightarrow x=13$ |
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CBSE Class 10 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.