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Mathematics · 2022 · 3 marks
CBSE 2022 · Region 1 · Set 1 · Q7
For what value of x, is the median of the following frequency distribution $\displaystyle 34$•$\displaystyle 5$? Class Frequency $\displaystyle 0$-$\displaystyle 10$ $\displaystyle 3$ $\displaystyle 10$-$\displaystyle 20$ $\displaystyle 5$ $\displaystyle 20$-$\displaystyle 30$ $\displaystyle 11$ $\displaystyle 30$-$\displaystyle 40$ $\displaystyle 10$ $\displaystyle 40$-$\displaystyle 50$ x $\displaystyle 50$-$\displaystyle 60$ $\displaystyle 3$ $\displaystyle 60$-$\displaystyle 70$ $\displaystyle 2$
| Class | Frequency |
| $\displaystyle 0$-$\displaystyle 10$ | $\displaystyle 3$ |
| $\displaystyle 10$-$\displaystyle 20$ | $\displaystyle 5$ |
| $\displaystyle 20$-$\displaystyle 30$ | $\displaystyle 11$ |
| $\displaystyle 30$-$\displaystyle 40$ | $\displaystyle 10$ |
| $\displaystyle 40$-$\displaystyle 50$ | x |
| $\displaystyle 50$-$\displaystyle 60$ | $\displaystyle 3$ |
| $\displaystyle 60$-$\displaystyle 70$ | $\displaystyle 2$ |
Marking-scheme solution
\[\begin{aligned}
\therefore 34 \cdot 5 & =30+\frac{10}{10}\left(\frac{34+x}{2}-19\right) \\
& \Rightarrow x=13
\end{aligned}
\]
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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.