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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 2 · Set 1 · Q5
If mode of the following frequency distribution is 55, then find the value of x.
If mode of the following frequency distribution is $\displaystyle 55$, then find the value of $\displaystyle x$.
| 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 : | $\displaystyle 10$ | $\displaystyle 7$ | $\displaystyle x$ | $\displaystyle 15$ | $\displaystyle 10$ | $\displaystyle 12$ |
Marking-scheme solution
Modal class is $\displaystyle 45$-$\displaystyle 60$
Therefore, $\displaystyle 55=45+15 \times \frac{15-x}{30-x-10}$
\[\Rightarrow x=5
\]
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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.