Mean Of Grouped Data
Chapter Name : Statistics |
Sub Topic Code : 104_10_14_02_01 |
Topic Name : Mean Of Grouped Data |
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Sub Topic Name : Mean Of Grouped Data |
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Introduction
When you are given data which has been grouped, you can't work out the mean exactly because you don't know what the values are exactly.
Pre-Requisites:
Idea about average, division, frequency, statistics.
Activity:
On a timed math test, students solved a particular problem at different rates of time. Five students solved the problem within 1-3 minutes, six of them solved it within 4-6 minutes, ten of them solved it within 7-9 minutes, and three of them solved it within 10-12 minutes. Find out the average time it took to solve this problem?
Real Life Question:
What is the mean age of all the students of your class?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Mean of grouped data | If x1, x2,. . ., xn are observations with respective frequencies f1, f2, . . ., fn, the mean of the data is given by: x ?=(f_1 x_1+f_2 x_2+?+f_n x_n)/(f_1+f_2+?+f_n )=(???f_i x_i ?)/(??f_i ) |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
Mean of grouped data is extensively used to calculate the mean age of a country or an organization. It is also used to find the average salaries in an organization.
Practical examples around us
| Examples | Explainations |
|---|---|
| Census | A census is the procedure of systematically acquiring and recording information about the members of a given population. |
What you learn in Theory:
What are the grouped data and its mean?
What you learn in Practice:
How to find the mean of the grouped data.