Tuesday, 20 January 2026

 

Class 7 Mathematics

Chapter 3: Data Handling

STAGE 0: Foundation

Data handling means collecting, organizing, and representing information so that it is easy to understand and analyze.

Examples of data:

  • Marks obtained by students
  • Number of students in each class
  • Favourite sports of children

STAGE 1: What is Data?

Data is a collection of numbers or facts gathered for a purpose.

  • Primary Data: Collected by us directly
  • Secondary Data: Collected by someone else

STAGE 2: Organizing Data

Data can be organized using:

  • Tables
  • Tally marks
  • Frequency tables

Organized data is easier to read and compare.

STAGE 3: Mean (Average)

The mean is the average value of data.

Formula:

Mean = (Sum of observations) ÷ (Number of observations)

Example:
Marks: 4, 6, 8
Mean = (4 + 6 + 8) ÷ 3 = 6

STAGE 4: Mode

The mode is the value that occurs most frequently.

Example:
Data: 2, 3, 4, 3, 5
Mode = 3

STAGE 5: Bar Graph

A bar graph is used to represent data using rectangular bars.

  • Bars can be vertical or horizontal
  • All bars have equal width
  • Height of bar shows value

STAGE 6: Probability (Introduction)

Probability tells us how likely an event is to happen.

Formula:

Probability = Number of favourable outcomes ÷ Total number of outcomes

Example:
Probability of getting a head when tossing a coin = 1/2

STAGE 7: Practice Questions

1. Define data.
2. Find the mean of: 2, 4, 6, 8.
3. Find the mode of: 1, 2, 2, 3, 4.
4. What is a bar graph?
5. What is the probability of getting a tail when tossing a coin?


Shaktimatha CBSE Learning
Class 7 Mathematics – Chapter 3: Data Handling

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