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8/14/2019 Final Class Project for Qa II
1/3
The relation between CGPA, Gender and
Annual Household Income.
Introduction
The comparison of CGPA between males and
females has always been a topic of discussion.
Also, the relation s between the annual
household income and students CGPA is an
issue that educated parents want to know to
be aware of what type of environment they
can provide for their children. Hence, these
important intellectual and social issues are
addressed and here with necessary hypothesis
and supporting statements. Also presented are
the facts about the surveyed population group
and information.
Methodology
The 2005, fall class of Q.A. II (TR 11:00 am)were surveyed. The survey was taken of the
whole class on a paper and pencil basis. The
received data were tabulated and arranged
revealing their age, gender, annual family
house hold incomes, major, satisfaction in
studies and other information. The
informative data about the sample like, age,
gender, annual family house hold income and
major were arranged, and the final results
about the sample composition was presented
in the form of percentages with appropriate
statistical diagrams. After the informative data
about the sample, the two major hypotheses
were stated, which are
a) Is there a relationship between gender and
CGPA?
b) Is there a positive or negative relation
between annual house hold income and
CGPA?
These two hypotheses were tested by various
descriptive statistical tools and tests. Then the
final results were presented with tables,
statistical diagrams, and necessary
explanations.
Data Analysis about the Sample
I. Gender
The total number of samples surveyed was 41
out of which, there were 24 females and 17
were males that made 58.5% females and
41.5% males.Females 58.5%
Males 41.5%
0.00%
10.00%
20.00%
30.00%
40.00%
50.00%
60.00%
Females
Males
II. Age
Mean 24.29
Median 21.00
8/14/2019 Final Class Project for Qa II
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0.00
1.00
2.00
3.00
4.00
5.00
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41
Samples
The data contained a wide range of ages that
included from age 19 to 43. The mean age
however was 24.29 and the median was 21.
III.Annual Household Income
The annual house hold income varied from
$5000 to $150,000.
Mean $36,435.57
Median $ 22,500
Standard Deviation $34,022.92
The mean income was $36,435.57; median
was $ 22,500; and the standard deviation was
$34,022.92
IV.Cumulative Grade Point Average
Mean 3.08
Median 3.11
Standard deviation .59
Range 2.0
The calculated mean CGPA was 3.08; the
median was 3.11; standard deviation was 0.59;
and the range was 2.0. The CGPA ranged from
2.0 to 4.0.
V. Major
The sample contained a wide range of majors.
Marketing
21%
Management
18%
Accounting
16%
MIS
18%
Finance
7%
Others
20%
The majors were Marketing, 21%;
Management , 18%; Accounting, 15%; MIS,
18%; Finance 7%; and others 20%.
RESULTS ON HYPOTHESIS TESTING
1.Relationship between CGPA and Income
There are hypotheses whether the higher
annual household incomes lead to betterment
in a students CGPA. The probable reason can
be like, since a student does not have to work
too hard and earn money, he might be able to
concentrate in his studies and score high
CGPA, and thus income affects CGPA.
Number of samples 27
Correlation Coefficient (r) -0.305
t- value -1.6
Coefficient of Determination .0933
The table states that the CGPA and income are
inversely related where, 9% of the variance in
the CGPA is affected by income. This is
not a strong inverse relation because there
Annual Income
0
50000
100000
150000
200000
0 5 10 15 20 25 30
Sample
8/14/2019 Final Class Project for Qa II
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can be a lot of other aspects like students
own motivation, family support, and others.
Also the relation that the CGPA and the
Income could only be verified a significance
level of 0.20. The number of samples
appeared to be low due to the unavailability
of adequate information. Hence it can be
feebly said that there is a little inverse relation
between CGPA and the annual household
income.
Relation betw een CGPA and Income
0
50000
100000
150000
200000
0.00 1.00 2.00 3.00 4.00 5.00
CGPA
AnnualIncome
2. Relationship between CGPA and Gender
This is another of the talked about social
issue. Some rumors tell that girls are more
intelligent than other while the others say the
vice- versa. It might be that females are more
careful in studies compared to males because
males are usually distracted by a lot of things
around.
Females Males
Number of samples 24 16
Mean CGPA 3.24 2.85
Standard Deviation GPA 0.57 0.54
Median GPA 3.224 2.72
The above table illustrates that the CGPA of
females is higher than that of males. The
mean CGPA of females is 3.24, where as that
of males is 2.85.
This hypothesis can be proved by t-test that
the average CGPA of females is more than
that of males under significance level of 0.05.
CGPA and Gender
0.00
1.00
2.00
3.00
4.00
5.00
0 5 10 15 20 25
Sample
Males
Females
CONCLUSION
Hence, after the analysis and the performed
tests, it can be concluded that there is a
negative relation between annual household
income and CGPA, and females score higher
CGPA than the males do.