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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 1 · Set 1 · Q4
Find the mode of the following frequency distribution : Class $\displaystyle 10$-$\displaystyle 20$ $\displaystyle 20$-$\displaystyle 30$ $\displaystyle 30$-$\displaystyle 40$ $\displaystyle 40$-$\displaystyle 50$ $\displaystyle 50$-$\displaystyle 60$ Frequency $\displaystyle 15$ $\displaystyle 10$ $\displaystyle 12$ $\displaystyle 17$ $\displaystyle 4$
| Class | $\displaystyle 10$-$\displaystyle 20$ | $\displaystyle 20$-$\displaystyle 30$ | $\displaystyle 30$-$\displaystyle 40$ | $\displaystyle 40$-$\displaystyle 50$ | $\displaystyle 50$-$\displaystyle 60$ |
| Frequency | $\displaystyle 15$ | $\displaystyle 10$ | $\displaystyle 12$ | $\displaystyle 17$ | $\displaystyle 4$ |
Marking-scheme solution
Modal class is $\displaystyle 40$-$\displaystyle 50$
\[\begin{aligned}
\text { Mode } & =40+10 \times \frac{17-12}{34-12-4} \\
& =42 \cdot 7 \text { or } 42 \frac{7}{9}
\end{aligned}
\]
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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.