A group of students went for summer holidays and performed various activities as given by the following diagram. What is the name of this representation of data in statistics?

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REET 2012 Level - 2 (Maths & Science) (Hindi/English/Sanskrit) Official Paper

Option 3 : Pie diagram

In Statics, there are several different types of charts and graphs. These are used to represent data in a pictorial form. The statistical graphs are used to represent a set of data to make it easier to understand and interpret statistical data.

**Pie Charts: **

- They are used to show you how a whole is divided into different parts.
- Also used in data handling, and are circular charts divided up into segments which each represent a value.
**Pie charts also are known as Circle Graph.** - Pie charts are
**divided into sections to represent values**of different sizes. For example, in the given pie chart, the circle represents a whole class. Each member of the class was asked what their favourite subject was, so each segment of the circle represents a different favourite subject. - Pie charts are a
**visual device**to help us understand data more easily. For example, in the given pie chart we can see that sport was the most popular subject as more than half of the class said it was their favourite subject. **The given representation in question is a Pie chart.**

Bar Graphs:

- They are used to show numbers that are independent of each other. A bar graph or a bar diagram is a
**pictorial representation of data.** - Bar graphs are the representation of ungrouped data by columns of equal width, unequal length which is equally spaced.
- It is shown
**in the form of rectangles**spaced out with equal spaces between them and having equal width and unequal length. The equal width and equal space criteria are important characteristics of a bar graph.

**The Shown Graph is a Bar Graph:-**

**Histogram:** It is a graphical representation of a frequency distribution **with class intervals or attributes** as the base and frequency as the height. The key difference is that histograms have bars **without any spaces between them** and the rectangles need not be of equal width. A histogram is a specific type of bar chart, where the categories are ranges of numbers. Histograms, therefore, the show combined continuous data.

The Shown Graph is a Histogram:-

**A frequency polygon** is a graph constructed by using lines to join the midpoints of each interval or bin. The heights of the points represent the frequencies. A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table.

**Hence, from the above-mentioned points, it becomes clear that the given representation of data in statistics is Pie diagram.**