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DETERMINING THE 
SAMPLE SIZE 
RICHARD Z. ZONIO 
Student
Sample 
It is the small group you 
observe and a population is the 
larger group about which your 
generalization is made
Population 
It is the group to which a 
researcher would like the 
results to be generalizable
Slovin’S formula in finding the 
sample size of the population 
N 
________ 
n= 
1+Ne2
Where: 
n = a sample size 
N = population size 
e = desired margin of error 
(% allowance for non-precision because of the 
use of sample instead of the population
For instance, in your research, if the 
population is 9,000 and the margin of 
error you allow is 2%, what is your 
representative sample? 
Through computation, your obtained 
sample size will be 1,957. This is attained 
through the following computation:
9000 
Example: 
______________ 
n= 
1+9000 (0.02)2
___9_0_0_0________ 
n= 
1+9000 (0.0004)
___9_0_0_0____ 
n= 
1+ 3.6
___9_0_0_0____ 
n= 
4.6
n = 1,957
Always remember that the 
assumption of a normal distribution of 
the population should be considered. 
When the normal approximation of your 
population is small or poor, this sample 
size formula does not apply.
SAMPLE STUDY
DETERMINANTS OF YTHE PERFORMANCE OF 
GRADE SIX PUPILS IN THE NATIONAL 
ACHIEVEMENT TEST
Determining the Sample Size
Determining the Sample Size
Determining the Sample Size
Stratified Random Sampling 
Amityville ES = 
137 
______ 
2084 
x 336 = 22 
Kasiglahan Vill. ES = 
946 
______ 
2084 
x 336 = 152 
Macabud ES = 
72 
______ 
2084 
x 336 = 12
Macaingalan ES = 
22 
______ 
2084 
x 336 = 4 
Mascap ES = 
63 
______ 
2084 
x 336 = 10 
Puray ES = 
29 
______ 
2084 
x 336 = 5
Rod. Heights ES = 
283 
______ 
2084 
x 336 = 46 
San Isidro ES = 
294 
______ 
2084 
x 336 = 47 
Tagumpay ES = 
238 
______ 
2084 
x 336 = 38
Determining the Sample Size
Determining the Sample Size
Determining the Sample Size
THANK YOU

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Determining the Sample Size