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

Height 135 140 147 152 155 160
Boys 2 5 12 10 7 1
Girls 1 2 10 5 6 5

Compare the heights of the boys and girls.

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Height Boys (f) c.f Girls (f) c.f.
135 2 2 1 1
140 5 7 2 3
147 12 19\(\leftarrow\) 10 13
152 10 29 5 18\(\leftarrow\)
155 7 36 6 24
160 1 37 5 29
N = 37 N = 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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