Calculate the median from the following data: Height(in cm) 135 - 140, 140 - 145,145 - 150,150 - 155,155 - 160,165 - 170,170 - 175

Question

Calculate the median from the following data:

Height(in cm)	135 - 140	140 - 145	145 - 150	150 - 155	155 - 160	160 - 165	165 - 170	170 - 175
Frequency	6	10	18	22	20	15	6	3

Answer 1

Now, N = 100

⇒ \(\frac{N}2\) = 50.

The cumulative frequency just greater than 50 is 56 and the corresponding class is 150 - 155. 

Thus, the median class is 150 – 155. 

∴ l = 150, h = 5, f = 22, c f = c.f. of preceding class = 34 and \(\frac{N}2\) = 50. 

Now,

= 150 + 3.64 

= 153.64 

Hence, the median = 153.64.