Question

In  a school, 100 pupils have heights as tabulate below: 

Height (in cm )	No. of pupils
121-130	12
131-40	16
141-150	30
151-160	20
161-170	14
171-180	8

Find the median height by drawing an ogive. 

Answer 1

Height (in cm)	No. of pupils	Cumulative Frequency
121-130	12	12
131-140	16	28
141-150	30	58
151-160	20	78
161-170	14	92
171-180	8	100

Number of terms =100 

∴ Median = `100/2=50^(th)` term 

Through 50^th term mark draw a line parallel to the x-axis which meets the curve at A. from A, draw a perpendicular to x-axis which meets it at B. 

Value  of B is the median=148 

⇒ Median height = 148 cm