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ICSE Class X Math 2020 Paper

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Question : 25 of 29
Marks: +1, -0
40 students enter for a game of shot-put competition. The distance thrown (in metres) is recorded below :
Distance m 12−1312-13 13−1413-14 14−1514-15 15−1615-16 16−1716-17 17−1817-18 18−1918-19
Number of 3 9 12 9 4 2 1
Use a graph paper to draw an ogive for the above distribution.
Use a scale of 2 cm=1 m2\,\mathrm{cm}=1\,\mathrm{m} on one axis and 2 cm=5\mathrm{cm}=5 students on the other axis.
Hence using your graph find:
(i) the median
(ii) Upper Quartile
(iii) Number of students who cover a distance which is above 16 12 m16\,\frac{1}{2}\,\mathrm{m}.
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