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Graphical Representation Of Cumulative Frequency Distribution
Chapter Name : Statistics
Sub Topic Code : 104_10_14_05_01
Topic Name : Graphical Representation Of Cumulative Frequency Distribution
Sub Topic Name : Graphical Representation Of Cumulative Frequency Distribution
Introduction

• A graphical representation of data helps us in understanding given data at a glance. • Cumulative frequency is sum of frequencies at or below a given value. • A curve drawn with upper limits and cumulative frequency is called an ogive of less than type. • A curve drawn with lower limits and cumulative frequency is called an ogive of more than type.

Pre-Requisites:

• Knowledge of grouped, ungrouped data. • Knowledge of mean, mode, frequency, cumulative frequency.

Activity:

You will observe median is the intersection point of two ogives.

Real Life Question:

Is cumulative frequency graph helpful to find maximum number of admissions in a school?

Key Words / FlashCards
Key Words Definitions (pref. in our own words)
Cumulative frequency Sum of frequencies at or below given values.
Ogive Ogive is a curve which represents cumulative frequency of grouped data.
Learning aids / Gadgets
Gadgets How it can be used
Graph paper Collect grouped data like monthly consumption of electricity in units of your locality. Find cumulative frequency and draw ogives.
Real life uses :

Cumulative frequency graph is helpful in understanding data and finding median with the help of cumulative graph and this very helpful in statistics.

Places to visit :

Find electricity bills for previous year and note monthly consumption in units. Find cumulative frequency and draw ogive.

Practical examples around us
Examples Explainations
Marketing statistics To find annual profits of business.
What you learn in Theory:

Median for grouped data can be formed at the intersection point of less than ogive and more than ogive.

What you learn in Practice:

Managing frequency tabulated data is much simpler. We can easily find median at intersection of two ogives.

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