CBSE 2025 · Region 5 · Set 3 · Q34 · 5 marks
The following table gives the daily income of $\displaystyle 50$ cab drivers of a particular city : Income (₹) $\displaystyle 500$-$\displaystyle 600$ $\displaystyle 600$-$\displaystyle 700$ $\displaystyle 700$-$\displaystyle 800$ $\displaystyle 800$-$\displaystyle 900$ $\displaystyle 900$-$\displaystyle 1000$ No. of Drivers $\displaystyle 12$ $\displaystyle 14$ $\displaystyle 8$ $\displaystyle 6$ $\displaystyle 10$
Find the mean income and the modal income.
| Income (₹) | $\displaystyle 500$-$\displaystyle 600$ | $\displaystyle 600$-$\displaystyle 700$ | $\displaystyle 700$-$\displaystyle 800$ | $\displaystyle 800$-$\displaystyle 900$ | $\displaystyle 900$-$\displaystyle 1000$ |
| No. of Drivers | $\displaystyle 12$ | $\displaystyle 14$ | $\displaystyle 8$ | $\displaystyle 6$ | $\displaystyle 10$ |
Marking-scheme solution
| Income (in ₹) | Number of Drivers \(\displaystyle \left(f_{\mathrm{i}}\right)\) | \(\displaystyle X_{\mathrm{i}}\) | \(\displaystyle u_{\mathrm{i}}=\frac{x_{i}-750}{100}\) | \(\displaystyle f_{\mathrm{i}} u_{\mathrm{i}}\) |
| $\displaystyle 500$-$\displaystyle 600$ | $\displaystyle 12$ | $\displaystyle 550$ | -$\displaystyle 2$ | -$\displaystyle 24$ |
| $\displaystyle 600$-$\displaystyle 700$ | $\displaystyle 14$ | $\displaystyle 650$ | -$\displaystyle 1$ | -$\displaystyle 14$ |
| $\displaystyle 700$-$\displaystyle 800$ | $\displaystyle 8$ | $\displaystyle 750$ = a | $\displaystyle 0$ | $\displaystyle 0$ |
| $\displaystyle 800$-$\displaystyle 900$ | $\displaystyle 6$ | $\displaystyle 850$ | $\displaystyle 1$ | $\displaystyle 6$ |
| $\displaystyle 900$-$\displaystyle 1000$ | $\displaystyle 10$ | $\displaystyle 950$ | $\displaystyle 2$ | $\displaystyle 20$ |
| Total | $\displaystyle 50$ | -$\displaystyle 12$ |
StatisticsMean of Grouped DataApplylong_answermedium
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.