Question

A student draws a cumulative frequency curve for the marks obtained by $40$ students of a class as shown below. Find the median marks obtained by the students of the class

• A. Median marks $=40$
• B. Median marks $=50$
• C. Median marks $=45$
• D. Median marks $=55$

Answer 1

The correct option is B Median marks $=50$

1. The total no. of students $=40$

2. $\frac{N}{2}=20$, the median will lie in the class interval in which $20$ lies.

3. Draw a perpendicular from $20$ to the right to cut the Ogive curve at point A.
4. From point A where the Ogive curve is cut, draw a perpendicular on the $x$-axis. The point at which it touches the $x$-axis will be the median value of the series as shown in the graph.

Therefore Median of Marks $=50$.