Construct an Ogive or a cumulative percentage graph

An Ogive, also known as a cumulative percentage graph, is a visual tool used in statistics to represent cumulative frequencies or cumulative percentages of a dataset. It helps in understanding the cumulative distribution of data and identifying the median, quartiles, and percentiles.

Here are the steps to construct an Ogive:

### 1. **Organize Data into a Frequency Distribution Table:**
   First, you need to organize the raw data into classes or intervals. Along with the class intervals, compute the frequencies of the data for each class.

| Class Interval | Frequency (f) | Cumulative Frequency (CF) |
|----------------|---------------|---------------------------|
| 0 - 10         | 5             | 5                         |
| 10 - 20        | 8             | 13                        |
| 20 - 30        | 12            | 25                        |
| 30 - 40        | 7             | 32                        |
| 40 - 50        | 3             | 35                        |

### 2. **Find the Cumulative Frequencies:**
   - The first cumulative frequency is the same as the first frequency.
   - For subsequent classes, add each class's frequency to the cumulative frequency of the previous class.

| Class Interval | Frequency (f) | Cumulative Frequency (CF) | Cumulative Percentage (%) |
|----------------|---------------|---------------------------|----------------------------|
| 0 - 10         | 5             | 5                         | (5/35) * 100 = 14.29       |
| 10 - 20        | 8             | 13                        | (13/35) * 100 = 37.14      |
| 20 - 30        | 12            | 25                        | (25/35) * 100 = 71.43      |
| 30 - 40        | 7             | 32                        | (32/35) * 100 = 91.43      |
| 40 - 50        | 3             | 35                        | (35

Learn how to construct an Ogive (cumulative percentage graph) using a frequency distribution table. This guide covers key statistical concepts such as cumulative frequency and cumulative percentage, helping students understand data distribution. Suitable for Grades 9-12.

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