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Mathematics · 2022 · 3 marks
CBSE 2022 · Region 3 · Set 1 · Q9
The weights (in kg) of $\displaystyle 50$ wild animals of a National Park were recorded and the following data was obtained : Weight (in $\displaystyle k g$ ) Number of animals $\displaystyle 100$-$\displaystyle 110$ $\displaystyle 4$ $\displaystyle 110$-$\displaystyle 120$ $\displaystyle 12$ $\displaystyle 120$-$\displaystyle 130$ $\displaystyle 23$ $\displaystyle 130$-$\displaystyle 140$ $\displaystyle 8$ $\displaystyle 140$-$\displaystyle 150$ $\displaystyle 3$
Find the mean weight (in kg) of animals, using assumed mean method.
| Weight (in $\displaystyle k g$ ) | Number of animals |
| $\displaystyle 100$-$\displaystyle 110$ | $\displaystyle 4$ |
| $\displaystyle 110$-$\displaystyle 120$ | $\displaystyle 12$ |
| $\displaystyle 120$-$\displaystyle 130$ | $\displaystyle 23$ |
| $\displaystyle 130$-$\displaystyle 140$ | $\displaystyle 8$ |
| $\displaystyle 140$-$\displaystyle 150$ | $\displaystyle 3$ |
Marking-scheme solution
| Class | x | f | \(\displaystyle d=x-125\) | fd |
| $\displaystyle 100$-$\displaystyle 110$ | $\displaystyle 105$ | $\displaystyle 4$ | -$\displaystyle 20$ | -$\displaystyle 80$ |
| $\displaystyle 110$-$\displaystyle 120$ | $\displaystyle 115$ | $\displaystyle 12$ | -$\displaystyle 10$ | -$\displaystyle 120$ |
| $\displaystyle 120$-$\displaystyle 130$ | $\displaystyle 125$ | $\displaystyle 23$ | $\displaystyle 0$ | $\displaystyle 0$ |
| $\displaystyle 130$-$\displaystyle 140$ | $\displaystyle 135$ | $\displaystyle 8$ | $\displaystyle 10$ | $\displaystyle 80$ |
| $\displaystyle 140$-$\displaystyle 150$ | $\displaystyle 145$ | $\displaystyle 3$ | $\displaystyle 20$ | $\displaystyle 60$ |
| $\displaystyle 50$ | -$\displaystyle 60$ |
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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.