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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 4 · Set 1 · Q4
Find the mean of the following frequency distribution : Class $\displaystyle 1$-$\displaystyle 5$ $\displaystyle 5$-$\displaystyle 9$ $\displaystyle 9$-$\displaystyle 13$ $\displaystyle 13$-$\displaystyle 17$ Frequency $\displaystyle 4$ $\displaystyle 8$ $\displaystyle 7$ $\displaystyle 6$
| Class | $\displaystyle 1$-$\displaystyle 5$ | $\displaystyle 5$-$\displaystyle 9$ | $\displaystyle 9$-$\displaystyle 13$ | $\displaystyle 13$-$\displaystyle 17$ |
| Frequency | $\displaystyle 4$ | $\displaystyle 8$ | $\displaystyle 7$ | $\displaystyle 6$ |
Marking-scheme solution
| Class | $\displaystyle x_{i}$ | Frequency, $\displaystyle f_{i}$ | $\displaystyle x_{i} f_{i}$ |
| $\displaystyle 1$-$\displaystyle 5$ | $\displaystyle 3$ | $\displaystyle 4$ | $\displaystyle 12$ |
| $\displaystyle 5$-$\displaystyle 9$ | $\displaystyle 7$ | $\displaystyle 8$ | $\displaystyle 56$ |
| $\displaystyle 9$-$\displaystyle 13$ | $\displaystyle 11$ | $\displaystyle 7$ | $\displaystyle 77$ |
| $\displaystyle 13$-$\displaystyle 17$ | $\displaystyle 15$ | $\displaystyle 6$ | $\displaystyle 90$ |
| $\displaystyle \Sigma f_{i}=25$ | $\displaystyle \Sigma x_{i} f_{i}=235$ |
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CBSE Class 10 Mathematics past-paper question from the 2022board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.