math statistic
TRANSCRIPT
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SCHOOL OF ARCHITECTURE, BUILDING & DESIGN
Foundation in Natural and Built Environments
MATHEMATICS (MATH0103)
Project 02 – Statistics
Group Members: Wong Voon Yin (0315151)
Nicholas Yap Wei Tyng (0314058)
Chia Wee Min (0315186)
Edwin Ho Khai Vun (0314846)
Chua Jia Cheng (0315160)
Chew Ung Heng (0315397)
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TABLE OF CONTENT
CONTENT PAGE
1. Introduction…………………………………..
2. Objective……………………………………...
3. Methodology………………………………….
4. Questionnaire………………………………....
5. Statistical Analysis…………………………….
6. Conclusion…………………………………….
7. Appendix……………………………………...
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INTRODUCTION
First of all, we had given a task to conduct a survey of comparatives analysis of any
topics between female and male for our Mathematics final project. Nowadays, females have the
ability to earn more than males on average and males could be spent more than females as well.
To compare the spending habits of male and female, we had conducted a research study to
observe the monthly expenses of college students.
Majority of college students are between the ages of 18-24. Usually, we are always
having stereotypes that females would spend more than males according to the basic needs of
females. It is no doubt that females often spent their money on cosmetics products in order to
attract the attention of males especially at the young age. In the other hand, females may also
spend money for extra stuff such as sanitary pad, losen and etc which are not necessary for male.
In fact, males may also spent on those cosmetics products and skin protection products as they
are also having the same problems what females have in this century. So we can’t admit that
males spent less than female with the comparison of the daily goods of both genders bought.
For the saving habits and financial satisfaction of males and females, males are better
savers than females based on the old stereotype. Males always feel less uncomfortable about
their current financial status and more optimistic about the future. But when it comes to shopping,
males like to get in, get what they need and get out fast. Males are more willing to pay a little
more to speed the process then they are to spend time hunting down bargain which are different
in females.
So there are a lot of different spending habits between the males and females students
within the college. In conclusion, we want to investigate the dissimilar way of monthly expenses
for male and female in college through the survey.
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OBJECTIVE
The survey’s primary objective is to identify the monthly expenses of boys and girls in
college. Through the survey, it allows us to collect and organize statistical data we need to
complete our survey’s report. During the calculating of the data, it enables us to apply the
knowledge gained to analyse statistical data and draw conclusion from data. Besides, we may
able to conduct a simple survey properly to ensure the participant understanding the purpose of
the survey. It also improves our communication to the participant for better understanding.
Lastly, it enhances teamwork ability and leadership while conducting the survey and completing
our survey’s report.
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METHODOLOGY
Data for this report were gathered from 9 January 2014 - 24 January 2014. A
questionnaire survey was carried out from 16 January 2014 - 24 January 2014. The
questionnaires were distributed to a total of 200 students, which consisting of 100 male students
and 100 female students. 50 of each male and female students were having the online
questionnaires while the other 50 of each male and female students do the normal questionnaires,
both questionnaires have the same questions. The questionnaires were distributed all around
Taylor's University Lakeside Campus, for example： Block D, Block E, Corridor, In front of
library, in front of Grand Hall, and also Student Life Centre. These questionnaires were
distributed equally to get the correct amount of data that is needed.
After collecting all the questionnaires we separate the questionnaires into male and
female and by that we created tables and diagrams to show the data based on every question and
sex, we also calculated the mean for each question and sex. The formula that is most frequently
use is mean formula which is : . After we analysis the data, we conclude that the
total of money spend is female spend more money compare to male in a week and male will have
more money left in the end of the month.
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These are some of the process pictures when the participant is answering the questions:
Female student in front of "Student Life Centre" that is busy with filling the questionnaire.
Group of students that are seriously filling up the questionnaire in front Grand Hall.
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SAMPLE
QUESTIONARRE
(Hardcopy)
We are conducting a research study to examine the monthly expenses of boys and girls. Your participation in this
research project is entirely voluntary and you responses will be kept completely confidential. The questionnaire is
composed of 20 questions and it takes about 10 min to complete it. Thank you very much for your time and effort.
Instruction: For each question below, please tick the appropriate box that best represent your answer.
1. Select your gender :
O Female
O Male
2. Select your age :
O Below than 15
O 15-19 years
O 20-24 years
O 25-29 years
3. What are your main sources of income
O Job
O Parents (pocket money)
O Gifts
4. Have you ever or do you currently have a part time job
O Yes
O No
5. What type of payment do you prefer ( mark 3 for least frequent to 1 for the most frequent )
O Cash
O Debit Card
O Credit Card
6. How much do you spend your money on food per week
O RM 1 ~ RM20
O RM 21 ~ RM40
O RM 41 ~ RM60
O RM 61 ~ RM80
O RM 81 ~ RM100
7. How much do you spend on clothing or accessories per week
O RM 1 ~ RM50
O RM 51 ~ RM100
O RM 101 ~ RM150
O RM 151 ~ RM200
O RM 201 ~ RM250
O RM 251 ~ RM300
8. How much do you spend on gas or petrol per week
O RM 1 ~ RM50
O RM 51 ~ RM100
O RM 101 ~ RM150
O RM 151 ~ RM200
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SAMPLE
9. How much do you spend on entertainment (movies, karaoke, theme park, games) per week
O RM 1 ~ RM20
O RM 21 ~ RM40
O RM 41 ~ RM60
O RM 61 ~ RM80
O RM 81 ~ RM100
10. How much do you spend on technologies and gadgets (power bank, pen drive, hard disk…) per week
O RM 100 ~ RM500
O RM 501 ~ RM1000
O RM 1001 ~ RM1500
O RM 1501 ~ RM2000
O RM 2001 ~ RM3000
O RM 3001 ~ RM4000
O RM 4001 ~ RM5000
11. Do you purchase items on the internet
O Yes
O No
12. If yes, why do you shop on the internet
O Convenience
O Better price
O Availability
13. When you shop, how is it important for you to buy brand name
O Very important
O Important
O Not important
14. Have you ever regret about what you have bought
O Yes
O No
15. When you receive money , do you
O Save some for saving
O used it all
16. Have you ever save money for long term goals such as car trip or other expensive items
O Yes
O No
17. Do you do proper account for income and expenses
O Yes
O No
18. Is your monthly income or pocket money is enough to cover all expenses
O Yes
O No
9
SAMPLE
19. How much do you think the amount of pocket money per month is enough to cover daily expenses
O RM 200 ~ RM250
O RM 251 ~ RM300
O RM 301 ~ RM350
O RM 351 ~ RM400
O RM 401 ~ RM450
O RM 451 ~ RM500
O RM 501 ~ RM550
O RM 551 ~ RM600
20. At the end of the month
O I always seem to end up short
O I can tell you how much I will have left almost to the penny
O I am never sure if I will come out a bit ahead or a bit behind each month
O I don’t keep track of my money too closely, but I know that I will come out ahead each month
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(Online Survey)
https://docs.google.com/forms/d/17DKDBu78AuTZtzsPLOn5Mk8rTpUK0vTFav
ExATuR-8k/viewform#start=openform
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STATISTICAL ANALYSIS
1. Gender
Total respondents = 201
Female Male
101 100
2. Age
Female Male
15-19 years 73 66
20-24 years 22 29
25-29 years 4 3
below 15 2 2
Mode ( Female ) : Age from 15-19 years
Mode ( Male ) : Age from 15-19 years
0
20
40
60
80
below 15 15-19 years 20-24 years 25-29 years
Age
Female
Male
14
3. Main source of income
Female Male
Parents 82 59
Job 16 38
Gift 3 3
Mode (Female) : Main source of income from parents
Mode (Male) :Main source of income from parents
4. Part time job
Female Male
Yes No Yes No
Part time job 48 53 58 42
Mode (Female) : Mostly get a part time job
Mode ( Male ) :Mostly get a part time jobs
0
20
40
60
80
100
Parents Job Gift
Income
Female
Male
0
10
20
30
40
50
60
70
Yes No
Part time job
Female
Male
15
5. Type of payment prefer
Male
Category Most frequent Frequent Least Frequent
Cash 43 24 14
Credit card 14 13 71
Debit card 12 65 13
0
10
20
30
40
50
60
70
80
Cash Debit Card Credit Card
Most Frequent
Frequent
Least Frequent
16
Female
Category Most frequent Frequent Least Frequent
Cash 71 21 19
Credit card 14 28 45
Debit card 16 52 37
0
10
20
30
40
50
60
70
80
Cash Debit Card Credit Card
Most Frequent
Frequent
Least Frequent
17
Comparison between male and female
Calculation:
Set category “most frequent” as 3
Set category “frequent” as 2
Set category “least frequent” as 1
Calculation (Male):
Category Most frequent, 3, f Frequent, 2, f Least Frequent,1, f Fx=
Fx(1)+Fx(2)+Fx(3)
Cash 43 24 14 191
Credit card 14 13 71 139
Debit card 12 65 13 179
0
50
100
150
200
250
300
Cash Debit Card Credit Card
Female
Male
18
Calculation (Female):
Category Most frequent, 3, f Frequent, 2, f Least Frequent,1, f Fx=
Fx(1)+Fx(2)+Fx(3)
Cash 71 21 19 274
Credit card 14 28 45 143
Debit card 16 52 37 189
6. Money spent on food per week
RM 1- 20 RM 21-40 RM 41-60 RM 61-80
RM 81-
100
Female 11 29 25 18 18
Male 9 21 21 22 27
Mode ( Female ) : RM21- 40 ; Mean : RM 51.09
Mode ( Male ) : RM21- 40 ; Mean : RM 57.90
0
5
10
15
20
25
30
35
RM 1- 20 RM 21-40 RM 41-60 RM 61-80 RM 81-100
Money spent on food (RM) per week
Female
Male
19
Calculation (Mean) ( Female ) :
PRICE (RM)
NO.OF
FEMALE, f MIDPOINT, x fx
RM 1- 20 11 RM10.50 115.5
RM 21-40 29 RM30.50 884.5
RM 41-60 25 RM50.50 1262.5
RM 61-80 18 RM70.50 1269
RM 81-100 18 RM90.50 1629
∑f= 101 ∑fx= 5160.5
Mean =
=
= RM 51.09
Calculation (Mean) ( Male ) :
PRICE (RM) NO.OF MALE, f MIDPOINT, x fx
RM 1- 20 9 RM10.50 94.5
RM 21-40 21 RM30.50 640.5
RM 41-60 21 RM50.50 1060.5
RM 61-80 22 RM70.50 1551
RM 81-100 27 RM90.50 2443.5
∑f= 100 ∑fx= 5790
Mean =
=
= RM 57.90
20
7. Money spend on cloth and accessories per week
RM 1-
50 RM 51-100 RM 101-150 RM 151-200
RM201-
250
RM221-
300
Female 64 25 6 2 1 3
Male 63 20 5 5 3 4
Mode ( Female ) : RM1-50; Mean : RM 56.19
Mode ( Male ) : RM1-50; Mean : RM 64.00
Calculation ( Mean )( Female) :
PRICE (RM)
NO.OF FEMALE,
f
MIDPOINT,
x fx
RM 1- 50 64 RM25.50 1632
RM 51-100 25 RM75.50 1887.5
RM 101-150 6 RM125.50 753
RM 151-200 2 RM175.50 351
RM201-250 1 RM225.50 225.5
RM251-300 3 RM275.50 826.5
∑f= 101 ∑fx= 5675.5
Mean =
=
= RM 56.19
010203040506070
Money spend on cloth and accessories ( RM ) per week
Female
Male
21
PRICE (RM) NO.OF MALE, f
MIDPOINT,
x fx
RM 1- 50 63 RM25.50 1606.5
RM 51-100 20 RM75.50 1510
RM 101-150 5 RM125.50 627.5
RM 151-200 5 RM175.50 877.5
RM201-250 3 RM225.50 676.5
RM251-300 4 RM275.50 1102
∑f= 100 ∑fx= 6400
Mean =
=
= RM 64.00
8. Money spend on gas and petrol
RM 1- 50 RM 51-100 RM 101-150 RM 151-200
Female 69 24 6 2
Male 56 26 11 7
Mode ( Female ) : RM1-50; Mean : RM 46.29
Mode ( Male ) : RM1-50; Mean : RM 60.00
0
20
40
60
80
RM 1- 50 RM 51-100 RM 101-150 RM 151-200
Money spend on gas and petrol (RM) per week
Female
Male
22
Calculation ( Mean )( Female) :
PRICE (RM)
NO.OF
FEMALE, f
MIDPOINT,
x fx
RM 1- 50 69 RM25.50 1759.5
RM 51-100 24 RM75.50 1812
RM 101-150 6 RM125.50 753
RM 151-200 2 RM175.50 351
∑f= 101 ∑fx= 4675.5
Mean =
=
= RM 46.29
PRICE (RM) NO.OF MALE, f
MIDPOINT,
x fx
RM 1- 50 56 RM25.50 1428
RM 51-100 26 RM75.50 1963
RM 101-150 11 RM125.50 1380.5
RM 151-200 7 RM175.50 1228.5
∑f= 100 ∑fx= 6000
Mean =
=
= RM 60.00
23
9. Money spend on entertainment
RM 1- 20 RM 21-40 RM 41-60 RM 61-80
RM 81-
100
Female 51 29 12 6 3
Male 44 27 15 9 5
Mode ( Female ) : RM1-20; Mean : RM 26.94
Mode ( Male ) : RM1-20; Mean : RM 31.30
Calculation ( Mean )( Female) :
PRICE (RM)
NO.OF FEMALE,
f
MIDPOINT,
x fx
RM 1- 20 51 RM10.50 535.5
RM 21-40 29 RM30.50 884.5
RM 41-60 12 RM50.50 606
RM 61-80 6 RM70.50 423
RM 81-100 3 RM90.50 271.5
∑f= 101 ∑fx= 2720.5
Mean =
=
= RM 26.94
0
10
20
30
40
50
60
RM 1- 20 RM 21-40 RM 41-60 RM 61-80 RM 81-100
Money spend on entertainment ( RM ) per week
Female
Male
24
PRICE (RM) NO.OF MALE, f
MIDPOINT,
x fx
RM 1- 20 44 RM10.50 462
RM 21-40 27 RM30.50 823.5
RM 41-60 15 RM50.50 757.5
RM 61-80 9 RM70.50 634.5
RM 81-100 5 RM90.50 452.5
∑f= 100 ∑fx= 3130
Mean =
=
= RM 31.30
10. Money spend on technologies
RM
100-500
RM 501-
1000
RM1001-
1500
RM 1501-
2000
RM 2001-
3000
RM 3001-
4000
RM 4001-
5000
Female 92 4 3 1 0 0 1
Male 88 7 3 0 1 0 1
Mode ( Female ) : RM100-500; Mean : RM 406.44
Mode ( Male ) : RM100-500; Mean: RM 429.50
0
10
20
30
40
50
60
70
80
90
100
Money spend on technologies (RM) per week
Female
Male
25
Calculation ( Mean )( Female) :
PRICE (RM) NO.OF FEMALE, f
MIDPOINT,
x fx
RM 100-500 92 RM300.50 27646
RM 501-1000 4 RM800.50 3202
RM 1001-1500 3 RM1,300.50 3901.5
RM 1501-2000 1 RM1,800.50 1800.5
RM2001-3000 0 RM2,500.50 0
RM 3001-4000 0 RM3,500.50 0
RM 4001-5000 1 RM4,500.50 4500.5
∑f= 101 ∑fx= 41050.5
Mean =
=
= RM 406.44
Calculation ( Mean )( Male) :
PRICE (RM) NO.OF FEMALE, f
MIDPOINT,
x fx
RM 100-500 88 RM300.50 26444
RM 501-1000 7 RM800.50 5603.5
RM 1001-1500 3 RM1,300.50 3901.5
RM 1501-2000 0 RM1,800.50 0
RM2001-3000 1 RM2,500.50 2500.5
RM 3001-4000 0 RM3,500.50 0
RM 4001-5000 1 RM4,500.50 4500.5
∑f= 100 ∑fx= 42949.5
Mean =
=
= RM 429.495
= RM 429.50
26
11. Online shopping
Female Male
Yes No Yes No
Online shopping 63 38 56 44
12. Why shop Internet
Female Male
Convenient 21 27
availability 15 20
better price 27 34
0
10
20
30
40
50
60
70
Yes No
Online Shopping
Female
Male
0
5
10
15
20
25
30
35
40
Convenient Availability Better Price
Reasons for onlilne shopping
Female
Male
27
13. How important is to buy brand name
Female Male
Very Important 14 15
Important 39 47
Not Important 48 38
14. Regret on what you bought
Female Male
Yes 78 57
No 23 43
0
10
20
30
40
50
60
Very Important Important Not Important
Importance to buy brand name
Female
Male
0
20
40
60
80
100
Yes No
Regret on what you bought
Female
Male
28
15. When you receive money , do you
Female Male
Save some for saving 94 89
Used it all 7 11
16. Ever save money for long term goal
Female Male
Yes 64 65
No 37 35
0
20
40
60
80
100
Save some for saving Used it all
When receive money
Female
Male
0
10
20
30
40
50
60
70
Yes No
Long term goal
Female
Male
29
17. Proper account for Income and expenses
Female Male
Yes 48 44
No 53 56
18. Monthly money enough to cover daily expenses
Female Male
Yes 66 62
No 35 38
0
10
20
30
40
50
60
Yes No
Proper account for Income and expenses
Female
Male
0
10
20
30
40
50
60
70
Yes No
Monthly money enough to cover daily expenses
Female
Male
30
19. How much pocket money enough to cover daily expenses
RM
200-
250
RM
251-
300
RM
301-
350
RM
351-
400
RM
401-
450
RM
451-
500
RM
501-
550
RM
551-
600
Female 18 21 10 7 5 10 1 29
Male 22 15 8 6 4 8 6 31
Mode ( Female ) : RM551-600; Mean : RM 176.79
Mode ( Male ) :
Calculation ( Mean )( Female) :
PRICE (RM)
NO.OF
FEMALE, f
MIDPOINT,
x fx
RM 200-250 18 RM225.50 4059
RM 251-300 21 RM275.50 5785.5
RM 301-350 10 RM325.50 3255
RM 351-400 7 RM375.50 2628.5
RM 401- 450 5 RM425.50 2127.5
RM 451-500 10 RM475.50 4755
RM 501-550 1 RM525.50 525.5
RM 551-600 29 RM575.50 16689.5
∑f= 101 ∑fx= 39825.5
0
5
10
15
20
25
30
35
RM 200-250
RM 251-300
RM 301-350
RM 351-400
RM 401-450
RM 451-500
RM 501-550
RM 551-600
How much pocket money enough to cover daily expenses (RM)
Female
Male
31
Mean =
=
= RM 394.31
Calculation ( Mean )( Male) :
PRICE (RM)
NO.OF MALE,
m
MIDPOINT,
x fx
RM 200-250 22 RM225.50 4961
RM 251-300 15 RM275.50 4132.5
RM 301-350 8 RM325.50 2604
RM 351-400 6 RM375.50 2253
RM 401- 450 4 RM425.50 1702
RM 451-500 8 RM475.50 3804
RM 501-550 6 RM525.50 3153
RM 551-600 31 RM575.50 17840.5
∑f= 101 ∑fx= 40450
Mean =
=
= RM 404.50
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20 . Condition at the end of the month
Female Male
I always seem to end up short 12 14
I can tell you how much I will have left almost to
the penny 20 22
I am never sure if I will come out a bit ahead or a
bit behind each month 35 28
I don’t keep track of my money too closely, but I
know that I will come out ahead each month 34 36
0
5
10
15
20
25
30
35
40
I always seem to endup short
I can tell you howmuch I will have leftalmost to the penny
I am never sure if I willcome out a bit aheador a bit behind each
month
I don’t keep track of my money too closely, but I know that I will come out ahead each
month
Condition at the end of the month
Female
Male
33
CONCLUSION
In conclusion, the major purpose of our survey is to gather and integrate all the
information into a complete table to examine the monthly expense of boys and girls. Through the
histogram that shows participants’ (100 boys and 100 girls) main source of income, it tells us
that 81% of girls’ main source of income are from their parents, 15.8% of girls’ main source of
income are from their salary of the job they are doing or they did, and lastly there are 3.2% of
girls’ main source of income are from their gifts. As for the boys, 59% of their main source
incomes are from their parents, 38% of their main source incomes are from job salary and lastly
3% of their main resource incomes are from gift. It shows that there are more boys’ main source
of income is come from their job comparing to girls. In the other graph, it also shows that there
are more boys having part time job to earn money for their daily expenses. As in the histogram, it
shown that there are 58% of boys having a part time job but there are only 47.5% of girls having
a part time job. So through these histograms, it shows that there are more boys earning money to
overcome their daily expenses. Next is study to determine the type of payment that most
participants prefer. According to the histograms, it shows that both parties (girls and boys) prefer
cash payment the most, debit card payment method will be next and finally is the credit card
payment method. To ensure the difference between both parties about this topic, we set each
kind of answers by giving it a number. The result was slightly different and it shown that both
parties prefer cash payment the most but there are difference between the other two categories.
Comparing to debit card and credit card payment method, boys prefer credit card payments but
girls prefer debit card payments. After that was to determine which party spends the most
money. By calculating the mean of every question that related to spending and comparing the
histogram, we found out that boys spend the most. As boys spend a lot of money buying gadget
and personal computer accessories. Compare to girls, boys spend RM429.50 per week
individually, and girls only spend RM406.44 per week individually. It was RM23.06 difference.
Last but not least was the amount of pocket money per month participants think that is enough to
cover their daily expenses. Through the data calculations and analysis, we found out that boys
need RM404.50 per month individually to cover daily expenses, as girls need RM394.31 per
month individually to cover daily expenses. Overall, it shows that boys need more money and
spends more money than girls through this survey form.
34
APPENDIX