Draw an Ogive by less than the method for the following frequency distribution and find its median from the graph.

Marks	0 – 10	10-20	20-30	30-40	40-50	50-60
Number of Students	7	10	23	51	6	3

To begin answering this question, we will generate the frequency table and the cumulative frequency table.

The cumulative frequency values are on the y axis, while the class interval or "less than" value is on the x axis.

The steps for drawing a less than O – give are as follows.

1. Sketch and label the horizontal and vertical axes

2. Calculate the cumulative frequencies on the y-axis (vertical axis) and the upper-class limits on the x-axis (horizontal axis).

3. Plot the cumulative frequencies against each upper-class limit.

4. Use a continuous curve to connect the points.

Let us also define an Ogive.

The frequency distribution graph of a series is defined as the Ogive.

The Ogive is a cumulative distribution graph that explains data values on the horizontal plane and cumulative relative frequencies, cumulative frequencies, or cumulative percent frequencies on the vertical axis.

Let us look for the table that contains the cumulative frequency of our given data.

Finally, we will use this cumulative frequency to mark the Ogive.

The median from an Ogive graph can be determined as: If $\mathrm{N}=$ total frequency, compute $\frac{N}{2}$ and here$\mathrm{N}=100$.

So, we get,

$\Rightarrow \frac{N}{2}=\frac{100}{2}=50$

Here, 50 on the y-axis would give an x-axis near to 34 .

Hence, the median according to the graph is 34 .