Question

Estimate the median for the given data by drawing an ogive: 

Class	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50
Frequency	4	9	15	14	8

Answer 1

Class	Frequency	Cumulative Frequency
0 – 10	4	4
10 – 20	9	13
20 – 30	15	28
30 – 40	14	42
40 – 50	8	50

Number of terms = 50

∴ Median = `(25 + 26^(th))/2` term

= 25.5^th term

  
Through mark of 25.5 on the y-axis, draw a line parallel to x-axis which meets the curve at A. From A, draw a perpendicular to x-axis, which meets x-axis at B. 

The value of B is the median which is 28