Calculate the median from the following data: Marks 0 – 10 10 – 30 30 – 60 60 – 80 80 – 90 Number of students 5 15 30 8 2

The median is the middle value of the sorted data set, obtained after arranging the data in ascending order.

Answer: The median for the given data is 40.

Let's understand how to find the median for a grouped data.

Explanation:

We need to calculate the cumulative frequencies to find the median. 

N = \(\sum f_i\) = 60 

N/2 = 60/2 = 30

Median Class is 30-60

l = 30, f = 30, c.f = 20, h = 30 \(\)

Using Median formula: 

\begin{align}\text { Median } &=l + [\dfrac {\dfrac{n}{2}-c}{f}]\times h\\\\&=30 + \dfrac{30-20}{30} \times 30 \\\\&= 30 + \dfrac{10}{30} \times 30 \\\\&=30+10\\\\\text { Median }&= 40 \end{align}

Thus, the median for the data: Marks 0 – 10, 10 – 30, 30 – 60, 60 – 80 and 80 – 90 Number of students 5,15, 30, 8 and 2 is 40.