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Mathematics · 2022 · 3 marks
CBSE 2022 · Region 2 · Set 1 · Q10
Heights of $\displaystyle 50$ students of class X of a school are recorded and following data is obtained : Height (in cm) : $\displaystyle 130$-$\displaystyle 135$ $\displaystyle 135$-$\displaystyle 140$ $\displaystyle 140$-$\displaystyle 145$ $\displaystyle 145$-$\displaystyle 150$ $\displaystyle 150$-$\displaystyle 155$ $\displaystyle 155$-$\displaystyle 160$ Number of Students : $\displaystyle 4$ $\displaystyle 11$ $\displaystyle 12$ $\displaystyle 7$ $\displaystyle 10$ $\displaystyle 6$
Find the median height of the students. Question Numbers from $\displaystyle 11$ to $\displaystyle 14$ carry $\displaystyle 4$ marks each.
| Height (in cm) : | $\displaystyle 130$-$\displaystyle 135$ | $\displaystyle 135$-$\displaystyle 140$ | $\displaystyle 140$-$\displaystyle 145$ | $\displaystyle 145$-$\displaystyle 150$ | $\displaystyle 150$-$\displaystyle 155$ | $\displaystyle 155$-$\displaystyle 160$ |
| Number of Students : | $\displaystyle 4$ | $\displaystyle 11$ | $\displaystyle 12$ | $\displaystyle 7$ | $\displaystyle 10$ | $\displaystyle 6$ |
Marking-scheme solution
| Class | $\displaystyle f$ | cf |
| $\displaystyle 130$-$\displaystyle 135$ | $\displaystyle 4$ | $\displaystyle 4$ |
| $\displaystyle 135$-$\displaystyle 140$ | $\displaystyle 11$ | $\displaystyle 15$ |
| $\displaystyle 140$-$\displaystyle 145$ | $\displaystyle 12$ | $\displaystyle 27$ |
| $\displaystyle 145$-$\displaystyle 150$ | $\displaystyle 7$ | $\displaystyle 34$ |
| $\displaystyle 150$-$\displaystyle 155$ | $\displaystyle 10$ | $\displaystyle 44$ |
| $\displaystyle 155$-$\displaystyle 160$ | $\displaystyle 6$ | $\displaystyle 50=N$ |
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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.