## What is median Ogive?

The ogive is formed by plotting points from the cumulative frequency distribution and joining them with a smooth curve. The median is then the value of the variable which corresponds to ½(n + 1)th value. If n is reasonably large, we can say this is approximately equal to half to the total frequency.

**What is the purpose of Ogive?**

An ogive graph is a plot used in statistics to show cumulative frequencies. It allows us to quickly estimate the number of observations that are less than or equal to a particular value.

### How do you find the median of an Ogive?

In order to find the median in an ogive, follow these steps…

- Plot the points on the graph and join them with lines.
- Find the value of N/2.
- Mark this value in the Cumulative frequency scale (y axis).
- Join this value to the line formed by plotting the points with dotted line .

**How do you interpret Ogive?**

An ogive (a cumulative line graph) is best used when you want to display the total at any given time. The relative slopes from point to point will indicate greater or lesser increases; for example, a steeper slope means a greater increase than a more gradual slope.

#### How is median calculated graphically explain the steps?

- make any more than or less than type data.
- Draw it’s ogive.
- Let n be total freq divide it by 2 n mark the no. On y axis.
- join the point with the ogive ( straight flat line)
- Mark the point of intersection of ogive n that line n draw a perpendicular from that point to x axis.
- Point of intersection on x axis will be median.

**How is ogive used in real life?**

Uses of ogives : It allows us to quickly estimate the number of observations that are less than or equal to a particular value. In Aerodynamics, ogive is a pointed,curved surface used to form the streamlined nose of the bullet shell. In the study of glaciers and their structures ogives are used.

## What are the advantages of ogive?

Ogive Graph or the cumulative frequency graphs are used to find the median of the given set of data. If both, less than and greater than, cumulative frequency curve is drawn on the same graph, we can easily find the median value.

**What are the two types of ogives?**

There are two types of ogives : Less than ogive : Plot the points with the upper limits of the class as abscissae and the corresponding less than cumulative frequencies as ordinates. The points are joined by free hand smooth curve to give less than cumulative frequency curve or the less than Ogive.

### How do you draw a median less than an ogive?

Hence, find the median….

Marks | Cumulative Frequency |
---|---|

Less than 5 Less than 10 Less than 15 Less than 20 Less than 25 Less than 30 Less than 35 Less than 40 | 7 7 + 10 = 17 17 + 20 = 37 37 + 13 = 50 50 + 12 = 62 62 + 19 = 81 81 + 14 = 95 95 + 9 = 104 |