Almost in every exam, be it Banking, SSC, Railway (RRB NTPC), Insurance, or any other government exam we find questions on data interpretation everywhere. **Data interpretation** or DI is a method of representing data into various forms such as Tables, Bar graphs, Line graphs, Pie charts, etc. Data can be obtained from multiple sources and then it is reviewed, analyzed, and interpreted to arrive at an inference.

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**What are Pie Charts?**

One of the most important and frequent forms of representing data is through pie charts. Data Interpretation Questions based on pie charts are often asked in the exams. In this article, we will learn simple yet important tips and techniques to solve the pie chart quickly.

A pie chart is a circular shaped chart, as the name suggested, it is like a pie divided into multiple sectors or slices to represent numerical data. In a pie chart, the length of the arc or central angle is proportional to the quantity that it represents.

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**Data in the pie chart**

In a pie chart, data is mainly represented:

In the form of percent, in the case of percent distribution sum of the pie chart is 100%.

In the form of degree, in the case of degree distribution sum of the pie chart is 360°.

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**Read data in the pie chart**

Each pie chart sums up to a certain value which is equivalent to 100% or 360° based on the type of distribution (whether it is percent or degree).

To find the value of certain a sector (slice):

- If the distribution is given in percent, simply multiply this value to the total amount of data and then divide by 100.
- If the distribution is given in percent, simply multiply this value to the total amount of data and then divide by 360.

**Example 1:**

**Solution: **

Value of 3^{rd} quarter of pie chart 1 = = 60

Value of 2^{nd} quarter of pie chart 2 = = 87.5

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**Conversion of data of one type of distribution to another type: **

Conversion of one type of distribution in a pie chart to another type is very simple:

To convert percentage into degree, just multiple the percent value with ‘3.6’.

To convert degree into percent, just divide the degree value with ‘3.6’.

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**Example 2:**

** Convert 25% into degree and 90****°**** into percent. **

**Solution: **

Equivalent of 25% in degree = 25 * 3.6 = 90°

Equivalent of 90° in percent = = 25%

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**Analysis of pie charts:**

You just do not need to calculate the value of each sector of the pie chart every time. Each set of pie charts contains 2 or 3 questions based on the comparison of data such as ratio and percentage.

**Example 3: **

**Find the ratio of the value of the 2 ^{nd} quarter to the value of the 4^{th} quarter.**

**Solution: **

Required ratio = 15%: 35% = 15: 35 = 3: 7

Also, if you need to perform aggregate functions such as sum, average, the difference in data values of sectors, then-

First, perform that function on data values of the sector and then calculate the final value.

**Example 4:**

** Find the sum of values of the sum of the 1 ^{st} and the 3^{rd} sector of the pie chart.**

**Solution: **

Sum of data values of 1^{st} sector and 3^{rd} sector = 30% + 20% = 50%

Required sum = 50% of 600 = 300

Now, we will discuss how to scale one pie chart into another, when two different pie charts (both are either in percent distribution or in degree distribution) are given in a single question.

**Step 1:** Find the total amount of both the pie charts.

**Step 2: **Find the scale factor by dividing the total amount of the first pie chart by the total amount of the second pie chart.

**Step 3: **Multiply each value of the first pie chart by the scale factor.

**Step 4: **Represent value multiplied by the scale factor of the first chart and the original value of the second pie chart in a single pie chart.

**Step 5: **Total amount of that single pie chart is equivalent to the total amount of the second pie chart.

**Example 5: **

**Find the difference between the value of the first sector of both the pie charts.**

**Solution: **

**Step 1:** Total amount of first and second pie charts is 800 and 500, respectively.

**Step 2: **Scale factor = = 1.6

**Step 3: **Now, the value of each sector of the first pie chart be like 48%, 24%, 32%, and 56% of successive quarters.

**Step 4: **

Required difference = (48 – 40) % of 500 = 8% of 500 = 40

This is all from us.

Hope this article will be helpful for your preparation and all the best for your upcoming exams.

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