Class 9 · Chapter 10

How Quantities Combine: Understanding Data

Organising raw data, frequency distributions, and the three big averages: mean, median, mode.

Read the full chapter
Ganita Manjari · Class 9 (2026-27)
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
A list of 30 exam scores tells you little. A frequency table (0-10, 10-20, …) suddenly reveals whether the class is bunched up or spread out. That is the whole point of data handling: turn noise into a story.
Key concepts & formulas
01
Raw data →\to frequency distribution: group observations and count.
02
Class-width hh, class-mark =lower+upper2= \dfrac{\text{lower} + \text{upper}}{2}.
03
Mean of nn values: xˉ=∑xin\bar x = \dfrac{\sum x_i}{n}; for a frequency table: xˉ=∑fixi∑fi\bar x = \dfrac{\sum f_i x_i}{\sum f_i}.
04
Median: middle value after sorting; if nn even, average of the two middles.
05
Mode: value that occurs most often.
06
Range == max −- min captures the spread at a glance.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026