# Definition of an Ogive Graph in Statistics

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• 0:04 What are Ogive Graphs?
• 1:01 An Example
• 3:10 Lesson Summary

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Lesson Transcript
Instructor: Nick Rogers
An ogive plot is useful in statistics when we want to know how many observations to expect for a range of data. It allows us to quickly see how many observations were measured for all ranges less than a particular number.

## What Are Ogive Graphs?

In statistics, frequencies are very important. Statisticians use plots to illustrate data in pictorial form to make it easier to understand. If you like drawing pictures and making plots, you just might find statistics to be a lot of fun!

Do you know what cumulative means? According to one definition, it means ''by successive additions.'' If you know how to add, then you can use that skill to construct graphs called cumulative frequency plots, which are also known as ogive plots. By the time you finish this lesson, you'll be ready to go out and collect your own data and make some beautiful graphs!

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. Let's consider an example, and construct both a frequency and ogive plot to see the difference.

## An Example

Suppose that we conducted an experiment on people between the ages of 0 and 30 and recorded some data for some age ranges. We could place these values in a table. In the table, we would write down the average value for each of six ranges of the ages we have surveyed. In a third column, we would write down the sum of all of our observations up to and including that age.

Range Value Sum
0-5 2 2
6-10 3 5
11-15 2 7
16-20 4 11
21-25 5 16
26-30 1 17

In this example, people in the age range 0-5 had a value of 2, and people aged 6-10 had a value of 3. The third column tells us the sum of observations for people below the upper limit of the age for that column. Therefore, in our experiment, we found that all people below the age of 10 had a total value of 5, while everyone (all of those below age 30) had a total value of 17.

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