Factory Workers Daily Income Data Visualization Question: 3. The daily income of a group of a factory workers.

Factory Workers Daily Income Data Visualization

Question:

3. The daily income of a group of a factory workers.

Income Distribution Table

Daily Income (₹)	Workers	Percentage	Angle (°)

Customize Visualization

Select Chart Type: Pie Chart (with angles) Bar Chart Doughnut Chart

Angle Calculation: Each angle = (Number of workers / Total workers) × 360° (rounded to whole numbers)

Example: 75-100 range angle = (45/480) × 360 = 33.75° → 34°

Visualization

Analysis

Angle Conversion in Pie Charts: In circular visualizations, each category's angle is calculated by converting its percentage of the total into a fraction of 360 degrees (rounded to nearest whole number). This creates proportional sectors that accurately represent the data distribution.

Key Observations:

• The 225-250 range has the largest angle (105°), representing 29.17% of workers
• The 150-175 range has the smallest angle (23°), representing just 6.25% of workers
• The sum of rounded angles is 360° (34 + 26 + 41 + 23 + 38 + 94 + 104 = 360)

Analysis of Food Choices Comparing Pie Charts and Bar Graphs for Categorical Data -THINK, DISCUSS AND WRITE- 2. Choice of food for a group of people.

Analysis of Food Choices

Comparing Pie Charts and Bar Graphs for Categorical Data

1. Original Data

The following table shows the favorite food choices for a group of 120 people.

Favourite Food	Number of People
North Indian	30
South Indian	40
Chinese	25
Others	25
Total	120

2. Converting Data to Angles for a Pie Chart

A pie chart represents data in a circle. Since a full circle has 360 degrees, we convert each data point into a proportional slice (angle) of that circle.

Angle = ValueTotal × 360°

Favourite Food	Calculation	Central Angle
North Indian	( 30120 ) × 360°	90°
South Indian	( 40120 ) × 360°	120°
Chinese	( 25120 ) × 360°	75°
Others	( 25120 ) × 360°	75°
Total		360°

3. Interactive Visualizations

Hover over the sections of the charts to see the details.

Pie Chart

Bar Graph

4. Which Graph is More Appropriate?

Pie Chart: Best for Proportions

A pie chart is ideal here because the main goal is to understand the **part-to-whole relationship**. It instantly shows what fraction of the total group prefers each type of food. You can easily see that South Indian food is the most popular choice, representing the largest slice of the pie.

Bar Graph: Best for Comparisons

A bar graph is also a very effective choice. Its strength is in making it easy to **compare the exact values** between categories. You can quickly see that South Indian has 10 more votes than North Indian, a comparison that is harder to make with precision on a pie chart without looking at the labels.

Conclusion

Both graphs are valid, but if the goal is to show how the preferences are distributed as percentages of the whole group, the **pie chart is the most appropriate** choice. If the goal is to compare the raw number of votes, the **bar graph is slightly better**.

THINK, DISCUSS AND WRITE Question: Which form of graph would be appropriate to display the following data?

THINK, DISCUSS AND WRITE

Question:

Which form of graph would be appropriate to display the following data?

Discussion:

For showing data that changes over a period of time, like production per year, a bar chart or a line graph is usually the best choice. They make it easy to see trends and compare values from year to year.

A pie chart is used to show parts of a whole. While we can create one for this data, it answers a different question: "What percentage of the total production (from 2001-2006) occurred in each specific year?".

Production of Food Grains

Year	Production (in lakh tons)	Angle (for Pie Chart)
Total		360°

How is the angle calculated?

Angle = (Year's Production / Total Production) × 360°

Production Trend (Bar Graph)

Production Distribution (Pie Chart)

All About Pie Charts! 🥧 Let's learn about this tasty-sounding way to look at data!

All About Pie Charts! 🥧

Let's learn about this tasty-sounding way to look at data!

What is a Pie Chart?

A **pie chart** (or a circle graph) is like a pizza that's been cut into slices. The whole pizza represents a **total amount**, and each slice shows a **part** of that total. Bigger slices mean bigger parts, and smaller slices mean smaller parts. It helps us see how different parts compare to each other and to the whole thing.

How to Draw a Pie Chart (The Math Part!)

To draw a pie chart accurately, we need to turn our data into fractions and then into angles. A full circle has **360 degrees (360°)**.

1. Find the Total: Add up all the values. For our example, the total is 24 hours.
2. Find the Fraction: For each part, make a fraction of the whole. (e.g., Sleep is 8 hours out of 24, so the fraction is 8/24).
3. Calculate the Angle: Multiply each fraction by 360°. This tells you how big to make each slice. (e.g., For Sleep: (8/24) * 360° = 120°).

Try These!

1. Find the fraction of the circle for each piece of information.

Girls 50%Boys 50%

Girls or Boys

Girls = 50% =

Boys = 50% =

Walk 40%Bus/Car 40%Cycle 20%

Transport to school

Walk = 40% =

Bus/Car = 40% =

Cycle = 20% =

Love 85% Hate 15%

Love/Hate Mathematics

Love = 85% =

Hate = 15% =

---

2. Answer the questions based on the TV viewers pie chart.

50%

25%

10%

15%

 Entertainment

 Sports

 News

 Informative

(i) Which type of programmes are viewed the most?

(ii) Which two types of programmes have number of viewers equal to those watching sports channels?

Let's Draw a Pie Chart! (Ice Cream Flavours)

The favourite flavours of ice-creams for students of a school is given in percentages. Let's represent this data in a pie chart!

Step 1: Calculate the Angles

First, we convert percentages into fractions, and then into angles. A full circle is 360°.

Flavours	Percentage	In Fractions	Fraction of 360° (Angle)
Chocolate	50%	50100 = 12	12 × 360° = 180°
Vanilla	25%	25100 = 14	14 × 360° = 90°
Other flavours	25%	25100 = 14	14 × 360° = 90°

Step 2: Draw the Pie Chart

1. Draw a circle with any radius you like. Mark its centre (O) and draw a starting line (radius OA).
2. Draw the first sector. The angle for Chocolate is 180°. Use a protractor to measure and draw this angle from the line OA. This creates the first slice!
3. Draw the next sectors. From your new line (OB), measure the next angle (90° for Vanilla) and draw it. The last section will be what's left over.
4. Label your chart. Don't forget to write the name of the flavour in each slice.

Chocolate Vanilla Other flavours

180°

90°

90°

Example: Family Expenditure

This pie chart gives the expenditure (in percentage) on various items and savings of a family during a month. Let's answer some questions about it!

 Food 25%

 Clothes 10%

 Savings 15%

 Others 20%

 Transport 5%

 House Rent 10%

 Education 15%

(i) On which item, the expenditure was maximum?

Select an answer Food Clothes Others

(ii) Expenditure on which item is equal to the total savings of the family?

Select an answer House Rent Education for children Transport

(iii) If the monthly savings of the family is ₹ 3000, what is the monthly expenditure on clothes?

Example 2: Baker's Shop Sales

On a particular day, the sales (in rupees) of different items of a baker's shop are given. Let's find the central angle of each sector.

160° 60° 80° 40° 20°

 Ordinary Bread

 Biscuits

 Cakes

 Fruit Bread

 Others

Item	Sales (in ₹)
ordinary bread	320
fruit bread	80
cakes and pastries	160
biscuits	120
others	40
Total	720

Here the total sale is ₹ 720. Now, let's calculate the fraction and central angle for each item. Fill in your answers below!

Item	Sales	In Fraction	Central Angle
Ordinary Bread	320		°
Biscuits	120		°
Cakes and pastries	160		°
Fruit Bread	80		°
Others	40		°

Create Your Own Data Story!

Topic

Data

Cricket Team Win Percentages 🏏 Let's compare the performance of top cricket teams in two different periods!-Data handling

Cricket Team Win Percentages 🏏

Let's compare the performance of top cricket teams in two different periods!

ODI Win Percentage

The table shows the percentage of wins for 8 top cricket teams. We'll compare their performance from the Champions Trophy to the World Cup-06 with their performance in the last 10 ODIs in 07.

Teams	From Champions Trophy to World Cup-06	Last 10 ODI in 07
South Africa	75%	78%
Australia	61%	40%
Sri Lanka	54%	38%
New Zealand	47%	50%
England	46%	50%
Pakistan	45%	44%
West Indies	44%	30%
India	43%	56%

🤔 Why a Double Bar Graph?

A double bar graph is the best choice here. It lets us compare two different sets of data (the two time periods) for each of the same groups (the cricket teams). We can quickly see if a team improved or declined.

✍️ How to Draw It:

1. Draw Axes: A vertical Y-axis for percentage and a horizontal X-axis for the teams.
2. Label Axes: Mark percentages from 0% to 100% on the Y-axis. List the team names on the X-axis.
3. Draw Bar Pairs: For each team, draw two bars side-by-side representing the win percentage for each period.
4. Create a Key: Use different colors for each period and add a legend to explain what they mean.

ODI Win Percentage Comparison

100%80%60%40%20%0%

S. Africa

Australia

Sri Lanka

N. Zealand

England

Pakistan

W. Indies

India

Champions Trophy to WC-06

Last 10 ODI in 07

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