CBSE 2025 · Region 1 · Set 2 · Q33 · 5 marks
The following frequency distribution gives the monthly consumption of electricity of $\displaystyle 68$ consumers of a locality. Find the mean and mode of the data: Monthly Consumption (in units) Number of Consumers $\displaystyle 65$-$\displaystyle 85$ $\displaystyle 4$ $\displaystyle 85$-$\displaystyle 105$ $\displaystyle 5$ $\displaystyle 105$-$\displaystyle 125$ $\displaystyle 13$ $\displaystyle 125$-$\displaystyle 145$ $\displaystyle 20$ $\displaystyle 145$-$\displaystyle 165$ $\displaystyle 14$ $\displaystyle 165$-$\displaystyle 185$ $\displaystyle 8$ $\displaystyle 185$-$\displaystyle 205$ $\displaystyle 4$
| Monthly Consumption (in units) | Number of Consumers |
| $\displaystyle 65$-$\displaystyle 85$ | $\displaystyle 4$ |
| $\displaystyle 85$-$\displaystyle 105$ | $\displaystyle 5$ |
| $\displaystyle 105$-$\displaystyle 125$ | $\displaystyle 13$ |
| $\displaystyle 125$-$\displaystyle 145$ | $\displaystyle 20$ |
| $\displaystyle 145$-$\displaystyle 165$ | $\displaystyle 14$ |
| $\displaystyle 165$-$\displaystyle 185$ | $\displaystyle 8$ |
| $\displaystyle 185$-$\displaystyle 205$ | $\displaystyle 4$ |
Marking-scheme solution
| Monthly Consumption (in units) | \(\displaystyle f_{i}\) | \(\displaystyle x_{i}\) | \(\displaystyle u_{i}=\frac{x_{i}-135}{h}\) | \(\displaystyle f_{i} u_{i}\) |
| $\displaystyle 65$-$\displaystyle 85$ | $\displaystyle 4$ | $\displaystyle 75$ | -$\displaystyle 3$ | -$\displaystyle 12$ |
| $\displaystyle 85$-$\displaystyle 105$ | $\displaystyle 5$ | $\displaystyle 95$ | -$\displaystyle 2$ | -$\displaystyle 10$ |
| $\displaystyle 105$-$\displaystyle 125$ | $\displaystyle 13$ | $\displaystyle 115$ | -$\displaystyle 1$ | -$\displaystyle 13$ |
| $\displaystyle 125$-$\displaystyle 145$ | $\displaystyle 20$ | \(\displaystyle 135=\mathrm{a}\) | $\displaystyle 0$ | $\displaystyle 0$ |
| $\displaystyle 145$-$\displaystyle 165$ | $\displaystyle 14$ | $\displaystyle 155$ | $\displaystyle 1$ | $\displaystyle 14$ |
| $\displaystyle 165$-$\displaystyle 185$ | $\displaystyle 8$ | $\displaystyle 175$ | $\displaystyle 2$ | $\displaystyle 16$ |
| $\displaystyle 185$-$\displaystyle 205$ | $\displaystyle 4$ | $\displaystyle 195$ | $\displaystyle 3$ | $\displaystyle 12$ |
| Total | $\displaystyle 68$ | $\displaystyle 7$ |
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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.