Grade 6 Maths: Data Interpretation

Section 1: Interpreting Data in Tables

🌟 Introduction

Welcome, math explorers! By studying this lesson, you will be able to interpret the data represented in picture graphs and tables.

📚 Theory

Drawing various information from the data represented in picture graphs and tables is known as data interpretation. When data are given numerically in a table, data interpretation can be done in terms of these numbers. We can find totals, differences, and trends just by looking closely!

💡 Example: Fruit Juice Sales

Let's look at the sales of 175 ml bottles of fruit juice marketed by a company during the first five months of the year 2014:

Month	Number of Bottles
January	30,000
February	32,100
March	31,500
April	34,800
May	33,000

Teacher's Questions & Answers:

Q: How many more bottles were sold in February than in January?
A: 32,100 - 30,000 = 2,100 extra bottles.
Q: What was the total sales during March and April?
A: 31,500 + 34,800 = 66,300 bottles.
Q: Write the ratio of January sales to May sales in its simplest form.
A: 30,000 : 33,000 → 30 : 33 → 10 : 11.

Section 2: Interpreting Data in Picture Graphs

🌟 Introduction

Sometimes numbers are turned into pictures to make them easier and more fun to read! When the data are represented by picture graphs, data interpretation corresponding to the comparison of data can be done more conveniently.

📚 Theory

In a picture graph, a specific symbol is used to represent a certain number of items. Always check the key! For example, if one star ⭐ means 5 days, then two stars ⭐⭐ means 10 days!

💡 Example: Vehicles on the Highway

The data on the vehicles that joined a highway during a certain hour through a certain entry point is represented below:

Key: 🚙 (1 symbol) = 10 vehicles

Cars: 🚙 🚙 🚙 🚙 🚗 (4.5 symbols) = 45 Cars

Buses: 🚙 🚗 (1.5 symbols) = 15 Buses

Vans: 🚙 🚙 🚗 (2.5 symbols) = 25 Vans

Jeeps: 🚗 (0.5 symbol) = 5 Jeeps

Lorries: 🚙 🚙 (2 symbols) = 20 Lorries

What can we interpret?

The type of vehicle that joined the highway most is cars.
The number of lorries that joined is 20.
The total number of vehicles that joined the highway during this hour is 105.

🧠 Brain Power Quiz! (20 Questions)

Test your skills! Select an answer for each question. Correct answers will turn the box BLUE, and incorrect ones will turn RED.

1. Based on the fruit juice table, which month had the highest sales?

March April May

2. Which month had the lowest fruit juice sales?

January February March

3. How many bottles were sold in May?

31,500 34,800 33,000

4. What is the total sales for January and February combined?

62,100 66,300 60,000

5. In 2013, 2,240 trishaws were registered, and in 2009, 930 were registered. How many more were registered in 2013?

1,215 1,310 1,410

6. In 2010, 1,215 trishaws were registered, and in 2011, 1,630 were registered. What is the trend?

The number is increasing The number is decreasing The number stayed the same

7. If 1,982 trishaws were registered in 2012, is this more or less than 2,000?

Less More

8. What do we call drawing information from tables and picture graphs?

Data Collection Data Interpretation Data Hiding

9. 21,700 kg of Bombay onions were sold in January, and 27,200 kg in April. What is the difference?

6,000 kg 5,500 kg 5,000 kg

10. A dealer sold 27,200 kg in April and 25,950 kg in May. Does the total exceed 53,000 kg?

Yes (It is 53,150 kg) No

11. 23,000 kg of onions were sold in June. Is this more than 22,000 kg?

Yes No

12. If a dealer claims he sold more than 22,000 kg every month, but sold 21,700 kg in January, is his claim true?

Yes No

13. Milk production was 163,100 litres in 2010 and 290,700 litres in 2013. Did it increase?

Yes No

14. Is the 2013 milk production (290,700L) more than twice the 2010 production (163,100L)?

Yes No

15. In the vehicles picture graph, if 1 symbol = 10 vehicles, what do 2 symbols mean?

2 vehicles 10 vehicles 20 vehicles

16. How many total vehicles joined the highway in the example?

105 95 110

17. Which vehicle joined the highway the least?

Vans Lorries Jeeps

18. In a graph where 1 symbol = 4 glasses of fruit drink, how many glasses do 3 symbols represent?

7 12 16

19. If a student receives 1 star ⭐ for 5 days of attendance, how many days did they attend to get 2 stars?

10 days 2 days 7 days

20. If 1 symbol represents 6 letters, what do 4 symbols represent?

10 letters 20 letters 24 letters

📊 Data Interpretation Adventure! 📈

Section 1: Interpreting Data in Tables

🌟 Introduction

📚 Theory

💡 Example: Fruit Juice Sales

Section 2: Interpreting Data in Picture Graphs

🌟 Introduction

📚 Theory

💡 Example: Vehicles on the Highway

🧠 Brain Power Quiz! (20 Questions)