1.

The heights of boys and girls of IX class of a school are given below.Height135140147152155160Boys25121071Girls1210565Compare the heights of the boys and girls.

Answer»

HeightBoys (f)c.fGirls (f)c.f.
1352211
1405723
1471219\(\leftarrow\)1013
1521029518\(\leftarrow\)
155736624
160137529
N = 37N = 29

Boys median class = \(\frac {37+1}{2} = \frac {38}{2}\) = 19th

observation 

∴ Median height of boys = 147 cm

Girls median class = \(\frac {29+1}{2} = \frac {30}{2}\) = 15th

observation 

∴ Median height of girls = 152 cm



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