Median Of Grouped Data
Chapter Name : Statistics |
Sub Topic Code : 104_10_14_04_01 |
Topic Name : Median Of Grouped Data |
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Sub Topic Name : Median Of Grouped Data |
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Introduction
• Median is a measure of central tendency which gives value of middle-most observation. • We find median of grouped data by finding cumulative frequency of less than type.
Pre-Requisites:
• Knowledge of grouped, ungrouped data. • Knowledge of mean, mode, frequency.
Real Life Question:
A life insurance agent found data for distribution of 100 policy holders. Calculate median age, if policies are given only to persons having 20 years onwards but Less than 60.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Median | Middle most observation in data. |
| Cumulative Frequency | Total of all frequencies. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Weighing machine | Weigh the weights of your family members. Find the median of weights of your family members. |
Real life uses :
Median is used extensively in statistics.
Places to visit :
Find electricity bills for previous year and find the median.
Practical examples around us
| Examples | Explainations |
|---|---|
| Record of daily income | Daily income is a grouped data and frequency is number of workers. Calculate median salary of worker. |
What you learn in Theory:
Median for grouped data is formed by using formula l+((n/2-cf)/f)*h
What you learn in Practice:
When a data set is organized by a group of numbers median is the middle value. Median Is likely to be the measurement of age when a group features one person 60 and other In age group of 18-20.