CBSE 2025 · Region 1 · Set 1 · Q35 · 5 marks
Find the missing frequency 'f' in the following table, if the mean of the given data is $\displaystyle 18$ . Hence find the mode. Daily Allowance Number of Children $\displaystyle 11$-$\displaystyle 13$ $\displaystyle 7$ $\displaystyle 13$-$\displaystyle 15$ $\displaystyle 6$ $\displaystyle 15$-$\displaystyle 17$ $\displaystyle 9$ $\displaystyle 17$-$\displaystyle 19$ $\displaystyle 13$ $\displaystyle 19$-$\displaystyle 21$ f $\displaystyle 21$-$\displaystyle 23$ $\displaystyle 5$ $\displaystyle 23$-$\displaystyle 25$ $\displaystyle 4$
| Daily Allowance | Number of Children |
| $\displaystyle 11$-$\displaystyle 13$ | $\displaystyle 7$ |
| $\displaystyle 13$-$\displaystyle 15$ | $\displaystyle 6$ |
| $\displaystyle 15$-$\displaystyle 17$ | $\displaystyle 9$ |
| $\displaystyle 17$-$\displaystyle 19$ | $\displaystyle 13$ |
| $\displaystyle 19$-$\displaystyle 21$ | f |
| $\displaystyle 21$-$\displaystyle 23$ | $\displaystyle 5$ |
| $\displaystyle 23$-$\displaystyle 25$ | $\displaystyle 4$ |
Marking-scheme solution
| Daily Allowance | \(\displaystyle x_{i}\) | \(\displaystyle f_{i}\) | \(\displaystyle f_{i} x_{i}\) |
| $\displaystyle 11$-$\displaystyle 13$ | $\displaystyle 12$ | $\displaystyle 7$ | $\displaystyle 84$ |
| $\displaystyle 13$-$\displaystyle 15$ | $\displaystyle 14$ | $\displaystyle 6$ | $\displaystyle 84$ |
| $\displaystyle 15$-$\displaystyle 17$ | $\displaystyle 16$ | $\displaystyle 9$ | $\displaystyle 144$ |
| $\displaystyle 17$-$\displaystyle 19$ | $\displaystyle 18$ | $\displaystyle 13$ | $\displaystyle 234$ |
| $\displaystyle 19$-$\displaystyle 21$ | $\displaystyle 20$ | f | 20f |
| $\displaystyle 21$-$\displaystyle 23$ | $\displaystyle 22$ | $\displaystyle 5$ | $\displaystyle 110$ |
| $\displaystyle 23$-$\displaystyle 25$ | $\displaystyle 24$ | $\displaystyle 4$ | $\displaystyle 96$ |
| Total | \(\displaystyle 44+\mathrm{f}\) | $\displaystyle 752$ + 20f |
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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.