Question

Compute the Median for the given data Class –interval 100-110 110-120 120-130 130-140 140-150 150-160 Frequency 6 35 48 72 100 4

Answer 1

So here yoir answer
Guy

Answer 2

Answer:

Median of Data =  136.04

Step-by-step explanation:

Given: Data in Continuous Series

To find: Median

Data Table is attached.

Formula of median,

$Median=l+\frac{\frac{N}{2}-cf}{f}\times h$

where, l = lower limit of Median Class

           cf = cumulative frequency of class preceding the median class

          f = Frequency of median class

           h = Width of median Class interval

while Median Class is class interval whose cf is equal or just greater than $\frac{N}{2}$

N = 265

$\frac{N}{2}=\frac{265}{2}=132.5$

So, Median class is 130 - 140

l = 130 , cf = 89 , f = 72 , h = 10

⇒  Median = $130+\frac{132.5-89}{72}\times 10$

                  = $130+\frac{43.5}{72}\times10$  

                  = $130+\frac{435}{72}$

                  = $130+6.04$

                  = $136.04$

Therefore, Median of Data =  136.04