Random Sampling Presentation

1. START

3. SAMPLING
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Presented by
 Muhammad Azeem
TEACHER: MA’AM Aiman Zafar

4. INTRODUCTION
 In the modern world of computers and information technology, the importance of statistics is very well recognized
by all the disciplines.
 Statistics has originated as a science of statehood and found applications slowly and steadily in
 Agriculture,
 Economics,
 Commerce,
 Biology,
 Planning,
 education and so
 As on date there is no other human walk of life, where statistics cannot be applied.

5. SAMPLING
 Target Population or Universe
The population to which the investigator wants to generalize his results
 Sampling Unit
smallest unit from which sample can be selected
“process of selecting a sample is called sampling “

6. WORKING
Generalize
Get To Access
List
In Your Study
All university in Pakistan
All university in Lahore
List of Lahore university
Three university in Lahore

7. WHY SAMPLE?
Get information about large populations
 Lower cost
 More accuracy of results
 High speed of data collection
 Availability of Population elements.
 Less field time
 When it's impossible to study the whole population

8. TYPES OF SAMPLING
•Probability sample
A method of sampling that uses of random selection so that all units/ cases in the
population have an equal probability of being chosen.
• Non-probability sample
Does not involve random selection and methods are not based on the rationale of probability
theory.

9. FORMULAS
With Replacement = N^n
With Out Replacement = N C n
Find Sample Values = N^2, N, 1
Find Number of sample

10. SAMPLING DISTRIBUTION
“The probability distribution of a statistic is called
a sampling distribution.”
Sampling Distribution of X
If repeated random samples of a given size n are taken from a population of the
values for a quantitative variable, where the population mean is u(mu) and the
population standard deviation is σ(sigma) then the mean of all sample mean(X-bar) is
population mean u(mu).

11. SAMPLING DISTRIBUTION

12. SAMPLING METHODS