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Class 6 Maths · Chapter 4 · NCERT (fegp104)

Data Handling and Presentation: common misconceptions

See the tempting mistake students make in Data Handling and Presentation, why it feels right at first glance, and a worked visual example that shows the right idea.

The tempting mistake & worked visual

What does one picture stand for?

Wrong

Five symbols mean five books.

Why it feels right. Each picture looks like a single book.

Right

Read the pictograph key before counting.

Worked example

Key
📘4 books
Pictograph
📘
📘
📘
📘
📘
Actual count
4
4
4
4
4
Five book symbols each stand for four books, giving 20 books.
  1. The key says one symbol stands for 4 books.
  2. Five symbols represent 5 × 4 = 20 books.

If your child says… (5 concept checks in this chapter)

As you work through Data Handling and Presentation, listen for these everyday misunderstandings and use the prompt alongside each one.

1. Data and Data Collection See how to teach this step →

If your child says… “Words cannot be data.”

Ask together
What do these words tell us about people's choices?
What’s true
Recorded choices give information even before anyone counts them.
2. Tally Marks and Frequency See how to teach this step →

If your child says… “Five tallies need five standing lines.”

Ask together
How many strokes will the crossed group contain?
What’s true
The fifth stroke crosses the earlier four, making a group easy to recognise.

If your child says… “A half picture counts like a whole picture.”

Ask together
Does the leftover bean fill a pair?
What’s true
A half picture records half the quantity given by the key.
4. Drawing a Bar Graph See how to teach this step →

If your child says… “Each square always means one bean.”

Ask together
What count does the first step above zero show?
What’s true
The chosen scale tells how many beans each square of height represents.
5. Artistic and Aesthetic Considerations See how to teach this step →

If your child says… “The bigger-looking picture must mean a greater height.”

Ask together
Do the chickpea bars reach different numbers on the scales?
What’s true
Extra width makes a bar look bigger without adding any height.

Use this chapter three ways