This document presents a study on sample size determination and analysis using a stratified sampling method among 50 students, with a desired sample size of 44. It includes demographic information, behavioral analysis, and various graphical representations related to factors like gender, occupation, and activities such as smoking and social media usage. The results indicate trends in expenditures and preferences between male and female respondents across several categories.

1. This Presentation is on
Determination and Analysis of Sample size
by observing and using sample with appropriate sampling scheme
Submitted By
Sudipto Krishna Dutta
ID: 20204021
Section: A, Batch: 04
Course Title: Sampling Methodology (PM-ASDS02)

2. Sampling Frame, Population Data and Survey Questions
 Total Population = 50 Students
 Sampling Units = Students
Given Survey Questions
Demographic
Information
Gender
Age
Marital Status
Weight
Residence
Division of
Present
Residence
Location of
Present
Residence
Socio Economic
Information
Current Occupation
Amount of money
spent yesterday
Behavioral Information
Do you smoke?
Do you use Facebook?
Do you watch
Bangladeshi TV
channels?
Do you read
newspaper?
Do you read story
books?
Do you like cricket?
Do you like football?

3. Sampling Methodology and Sample Size Determination
• Stratifies Sampling : Stratified Sampling method is selected for greater precision and to
ensure representation of small sub groups. Also proportional allocation technique is used to
allocate sample size to different starta.
• Stratum : (1) Male (2) Female
Allocating sample size to strata
• Population Size : N = 50
• Desired Sample Size : n = 44
Here, I used simple random sampling technique with considering 5% level of
significance and the desired precision is 0.05 and “P” & “Q” are unknown
Sl. # (i) Stratum Ni Wi = Ni/N ni
1 Male 33 0.66 29
2 Female 17 0.34 15
Total 50 1.00 44

4. Tabular Representation of Sampling Data
Table 1 : Frequency distribution on Residence of 29 Male stratum.
Table 2 : Frequency distribution on Residence of 15 Female stratum.

5. Graphical Representation of Sampling Data
Figure 1 :Bar Graph representing the
residence of male stratum.
Figure 2 :Bar Graph representing the
residence of female stratum.

6. Graphical Representation of Sampling Data
Figure 3 : Pie Chart representing
the residence of male stratum
Figure 4 :Bar Graph representing
the residence of female stratum.

7. Descriptive Summery Statistics on Demographic
Information
Male Female
Mean 27.6 26.5
Standard
Error
0.94 0.88
Median 25 25
Mode 25 25
Standard
Deviation
5.07 3.40
Sample
Variance
25.68 11.55
Kurtosis 1.17 0.68
Skewness 1.52 1.55
Range 18 9
Minimum 23 24
Maximum 41 26.5
Table 3 : Summary Statistics on Age of 29
male and 15 female stratum.
31%
7%
62%
Currently
Married
Others
Never
Married
Figure 5 : Pie Chart representing the marital
status of male stratum.

8. Descriptive Summery Statistics on Demographic
Information
Male Female
Mean 75.2 54.9
Standard
Error
2.51 2.42
Median 73 50
Mode 65 45
Standard
Deviation
13.50 9.36
Sample
Variance
182.24 87.55
Kurtosis -1.39 -1.71
Skewness 0.18 0.26
Range 40 23
Minimum 56 45
Maximum 96 68
Table 4 : Summary Statistics on weight of 29
male and 15 female stratum.
40%
20%
40%
Currently
Married
Others
Never
Married
Figure 6: Pie Chart representing the maritial status of
female stratum .

9. Descriptive Summery Statistics on Socio Economic
Male Female
Mean 758.1 1253.3
Standard Error 159.6 295.7
Median 300 500
Mode 200 2800
Standard Deviation 859.4 1145.1
Sample Variance 738595.2 1311238
Kurtosis 2.0 -1.7
Skewness 1.6 0.39
Range 3350 2800
Minimum 50 0
Maximum 3400 2800
Table 5 : Summary Statistics on amount of money yesterday of male and female stratum.

10. Descriptive Summery Statistics on Socio Economic
0
5
10
15
Business Service Student Others
Male
Male
0
5
10
Service Students
Female
Female
Figure 7 : Bar Graph representing the occupation of male stratum.
Figure 8: Bar Graph representing the occupation of male stratum.
Explanation:
• In the table 5, male and female
spent the mean amount of money
yesterday are 758 and 1253
respectively, which indicates
female used to spend more money
than male, through the variability
among the data are very high and
distribution are not normal.
•In the figure 7 and 8, male and
female are mostly engaged in
“Service” and “Student”. Though,
female presence in business and
others occupation is zero.

11. Behavioral Information Analysis
0.00%
2.00%
4.00%
6.00%
8.00%
10.00%
12.00%
14.00%
16.00%
18.00%
20.00%
Male Female
15.89%
0.00%
12.70%
18.60%
Yes
No Figure 9: Bar Graph representing the
smoking frequency of male and female
stratum.
Explanation: In this figure 9 male respondent smoke whereas 0.0% female smoke, hence we
can infer that, usually make do smoke and almost all the female restrain themselves from
smoking .

12. Behavioral Information Analysis
17%
83%
Male
Yes
No
13%
87%
Female
Yes
No
Figure 10 : Pie Chart representing the Facebook usage ratio among male and female stratum.
Explanation:
• In the figure 10 the ratio using Facebook among the male and female stratum are in 83%
and 87% respectively.
Hence, we can say that, the more number female use Facebook, in compared to the male.

13. Behavioral Information Analysis
0
10
20
30
40
Yes
No
Figure 11 : Bar Graph representing the Bangladeshi TV channel watching frequency of male stratum, female stratum and combined.
Watching Bangladeshi TV Channels
0
10
20
30
Yes
No
Reading Newspaper
Figure 12 : Bar Graph representing the newspaper reading frequency of male stratum, female stratum and combined.
0
10
20
30
Yes
No
Figure 13 : Bar Graph representing the story books reading frequency of male stratum, female stratum and combined.
Reading Story Books
Figure 11 : Only 12 respondents among 44 watch BD TV
channel. The ratio is almost similar for male and female.
So, watching BD TV channels are quite low.
Figure 12 : 29 respondents among 44 read newspaper.
Though the frequency of reading newspaper among
female is much higher than the male.
Figure 13 : 23 respondents among 44 read story books,
though the frequency of reading newspaper among female
is much higher than the male and the female read story
books more than the male.

14. Behavioral Information Analysis
0
10
20
30
Male Female Combined
Yes
No
Football Lovers
Figure 14: Bar Graph representation the football lovers among male stratum, female stratum and combined respondents.
Explanation: In this figure 14 20 respondents like football among44, though in male stratum 16 respondents like
football among 29, where only 4 female respondents like football among 15. Here we can diffrentiate that, male
like football more than female.
70%
30%
Male
Yes
No
73%
27%
Female
Yes
No 75
%
25
%
Combined
Yes
No
Figure 15: Pie Chart representation the fan of cricket among male stratum, female stratum and combined.
Explanation: In this figure 15% males and 75.6% female like cricket which are quite pretty to combined ratio of
70%. Here, we can differentiate that,70 % respondents like cricket and slightly more than male among the sample
respondents.
Cricket Lovers

15. All this things concludes my presentation.
Thank You!!