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Mathematics · 2025 · 5 marks
CBSE 2025 · Region 2 · Set 2 · Q34
Find the mean and median for the following data:
Find the mean and median for the following data :
| Classes | Frequency |
| $\displaystyle 5$-$\displaystyle 15$ | $\displaystyle 2$ |
| $\displaystyle 15$-$\displaystyle 25$ | $\displaystyle 3$ |
| $\displaystyle 25$-$\displaystyle 35$ | $\displaystyle 5$ |
| $\displaystyle 35$-$\displaystyle 45$ | $\displaystyle 7$ |
| $\displaystyle 45$-$\displaystyle 55$ | $\displaystyle 4$ |
| $\displaystyle 55$-$\displaystyle 65$ | $\displaystyle 2$ |
| $\displaystyle 65$-$\displaystyle 75$ | $\displaystyle 2$ |
Marking-scheme solution
\[\begin{array}{|c|c|c|c|c|}
\hline \text { Classes } & \text { frequency }\left(f_{\mathrm{i}}\right) & x_{\mathrm{i}} & f_{\mathrm{i}} x_{\mathrm{i}} & c f \\
\hline 5-15 & 2 & 10 & 20 & 2 \\
15-25 & 3 & 20 & 60 & 5 \\
25-35 & 5 & 30 & 150 & 10 \\
35-45 & 7 & 40 & 280 & 17 \\
45-55 & 4 & 50 & 200 & 21 \\
55-65 & 2 & 60 & 120 & 23 \\
65-75 & 2 & 70 & 140 & 25 \\
\hline \text { Total } & 25 & & 970 & \\
\hline
\end{array}
\]
Median class is $\displaystyle 35$-$\displaystyle 45$
\[\begin{aligned}
\text { Median } & =35+\left(\frac{\dfrac{25}{2}-10}{7}\right) \times 10 \\
& =\frac{270}{7} \text { or } 38.57 \text { approx. }
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.