Maths assignment

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SCHOOL OF ARCHITECTURE, BUILDING AND DESIGN

FOUNDATION IN NATURAL AND BUILT ENVIRONMENTS

GROUP MEMBERS: LEE JO YEE (0314880),

KHOR SEEM LENG (0315208),

KIMBERLEY EE SZE ANN (0315319),

DANIESH ASHIK (0315256),

LIEW YONG SHENG (0315108),

PENG YIAP SENG (0315359).

MATHEMATICS (MATH0103)

LECTURER: ANN SEE PENG

SUBMISSION DATE: 24/1/2014

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Table of Contents

Title Page Number

Contents 1

Introduction 2

Objectives 3

Methodology 4

Survey forms

Analysis 5

Conclusion 20

2

Introduction

The study examined the idealism of teenagers. Two hundred participants were given separate

questionnaire forms based on their sex that is, one hundred questionnaires for males and one

hundred questionnaires for females.

The purpose of the survey was to identify male and female teenagers’ ideal concept of

themselves and also their ideal concept of the opposite sex. The questions asked were strictly

based on physical appearance only.

In order to discover the participants ideal concept of themselves, they are first asked to answer

their current weight, height, sex, body shape hair style, eye colour and hair colour. Later, they are

asked to answer their ideal weight, height, sex, body shape, hair style, eye colour and hair colour.

Finally, in order to discover participants ideal concept of the opposite sex, they are asked to

answer the ideal weight, height, sex, body shape, hair style, eye colour and hair colour they

expect in the opposite sex.

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Objectives

To identify male teenager’s ideal concept of themselves ( ideal weight, height, sex, body

shape, hair style, eye colour and hair colour).

To identify female teenagers ideal concept of themselves ( ideal weight, height, sex, body

shape, hair style, eye colour and hair colour).

To identify male teenagers ideal concept of the opposite sex ( ideal weight, height, sex,

body shape, hair style, eye colour and hair colour).

To identify female teenagers ideal concepf of the opposite sex( ideal weight, height, sex,

body shape, hair style, eye colour and hair colour).

4

Methodology

Two hundred university students participated in this study. One hundred participants

were male and the other hudred were female. The survey was carried out in Taylor’s

University Lakeside Campus.

Giving out survey forms in the classroom.

A participant filling in a survey form.

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Analysis

Analysis of Male Participants

Question 1: Current Weight

Based on the graph above, the best measure of central tendency to be used is mean. The reason

for this is because the data are roughly symmetric and have no outliers.

Calculation of mean:

Weight (kg) Frequency

(f)

Midpoint

(x)

fx

31-45 0 38 0

46-60 34 53 1462

61-85 58 73 4234

86-100 8 93 744

∑f=100 ∑fx=6440

Mean = ∑fx/∑f = 6440/100 = 64.4kg

0

10

20

30

40

50

60

70

31-45 46-60 61-85 86-100

Fre

qu

ency

Weight (kg)

Current Weight of Male Participants

Male

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Question 2: Ideal Weight

Based on the graph above, the median is the best measure of central tendency because the data are very skew.

A large number of outliers exist.

Calculation of median:

Weight (kg) Frequency Cumulative

Frequency

31-45 1 1

46-60 33 (34)

61-85 (61) 95

86-100 4 99

Others 1 100

Median = 60.5 + [(100/2 - 34)/61] (25) = 67.06kg

0

10

20

30

40

50

60

70

31-45 46-60 61-85 86-100 Others

Fre

qu

ency

Weight (kg)

Ideal Weight of Male Participants

Male

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Question 3: Current Height




Height (cm) Frequency Cumulative

Frequency

140-150 0 0

151-160 6 (6)

161-170 (48) 54

171-180 18 72

181 - 190 28 100

Median = 160.5 + [(100/2 - 6)/48] (10) = 169.67cm

0

10

20

30

40

50

60

140-150 151-160 161-170 171-180 181 - 190

Fre

qu

ency

Height

Current Height of Male Participants

Male

8

Question 4: Ideal Height




Height (cm) Frequency Cumulative

Frequency

140-150 1 1

151-160 1 2

161-170 25 27

171-180 18 (45)

181 - 190 (55) 100

Median = 180.5 + [(100/2 - 45)/55] (10) = 181.41cm

0

10

20

30

40

50

60

140-150 151-160 161-170 171-180 181 - 190

Fre

qu

ency

Height (cm)

Ideal Height of Male Participants

Male

9

Analysis of Female Participants

Question 1: Current Weight

Based on the graph above, the best measure of central tendency to be used is mean. The reason

for this is because the data are roughly symmetric and have no outliers.

Calculation of mean:

Weight

(kg)

Frequency

(f)

Midpoint

(x)

fx

31-40 37 35.5 1313.5

41-50 45 45.5 2047.5

51-60 17 55.5 943.5

61-70 1 65.5 65.5

∑f=100 ∑fx=4370

Mean = ∑fx/∑f = 4370/100 = 43.7kg

0

5

10

15

20

25

30

35

40

45

50

31-40 41-50 51-60 61-70

Fre

qu

ency

Weight (kg)

Current Weight of Female Participants

Female

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Question 2: Ideal Weight




Weight

(kg)

Frequency Cumulative

Frequency

31-40 1 (1)

41-50 (62) 63

51-60 35 98

61-70 2 100

Median = 40.5 + [(100/2 - 1)/62] (10) = 48.40kg

0

10

20

30

40

50

60

70

31-40 41-50 51-60 61-70

Fre

qu

ency

Weight (kg)

Ideal Weight of Female Participants

Female

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Question 3: Current Height




Height

(cm)


Frequency

140-150 2 2

151-160 40 (42)

161-170 (52) 94

171-180 3 97

181 - 190 3 100

Median = 160.5 + [(100/2 - 42)/52] (10) = 162.04cm

0

10

20

30

40

50

60

140-150 151-160 161-170 171-180 181 - 190

Fre

qu

ency

Height (cm)

Current Height of Female Participants

Female

12

Question 4: Ideal Height




Height

(cm)


Frequency

140-150 1 1

151-160 11 (12)

161-170 (73) 85

171-180 3 88

181 - 190 12 100

Median = 160.5 + [(100/2 - 12)/73] (10) = 165.71cm

0

10

20

30

40

50

60

70

80

140-150 151-160 161-170 171-180 181 - 190

Fre

qu

ency

Height (cm)

Ideal Height of Female Participants

Female

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Analysis of Male and Female Participants

The following questions consist of categorical data. Therefore, the best way to analyse the following data

is to identify the mode, thus identifying the most common category.

Question 7: Current Body Shape

Mode = Trapezium body shape. Mode = Hourglass body shape.

Question 8: Ideal Body Shape

Mode = Trapezium body shape. Mode = Hourglass body shape.

3%

19%

26% 38%

14%

Current Body Shape of Male

Participants

Triangle

Inverted

Triangle

Square

Trapezium

16%

18%

34%

18%

14%

Current Body Shape of Female

Participants

Inverted

Triangle

Square

Hourglass

Triangle

0%

54%

10%

35%

1%

Ideal Body Shape of Male

Participants

Triangle

Inverted

Triangle

Square

Trapezium

7%

12%

44%

37%

0%

Ideal Body Shape of Female

Participants

Inverted

Triangle

Square

Hour glass

Triangle

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Question 9: Current Hairstyle

Mode: Spiky hair. Mode: Shoulder length hair.

Question 10: Ideal Hairstyle

Mode: Spiky hair Mode: Wavy long hair.

20%

15%

51%

10% 4%

Current Hair Style of Male

Participants

Shaved Head

Curly Long

Spiky

Medium Length

Wavy Long

4%

37%

32%

26%

1%

Current Hairstyle of Female

Participants

Pixie

Shoulder

length

Wavy long

Straight long

16%

15%

47%

7% 15%

Ideal Hairstyle of Male

Participants

Shaved Head

Curly Long

Spiky

Medium Length

Wavy Long

10%

11%

39%

38%

2%

Current Hairstyle of Female

Participants

Pixie

Shoulder

length

Wavy long

Straight long

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Question 11: Current Eye Colour

Mode = Black eyes. Mode: Black eyes.

Question 12: Ideal Eye Colour

Mode = Brown eyes. Mode: Brown eyes.

60%

37%

1% 1% 1%

Current Eye Colour of Male

Participants

Black

Brown

Red

Green

Others

64%

34%

1% 0% 1%

Current Eye Colour of Female

Participants

Black

Brown

Red

Green

Other

21%

39% 9%

7%

24%

Ideal Eye Colour of Male

Participants

Black

Brown

Red

Green

Others

27%

51%

3% 11%

8%

Ideal Eye Colour of Female

Participants

Black

Brown

Red

Green

Other

16

Question 13: Current Hair Colour

Mode = Black hair. Mode: Black Hair

Question 14: Ideal Hair Colour

Mode = Black hair Mode: Brown hair

80%

18%

0% 1% 1%

Current Hair Colour of Male

Participants

Black

Brown

Red

Blonde

Others

45%

44%

5% 0% 6%

Current Hair Colour of Female

Participants

Black

Brown

Red

Blonde

Other

44%

30%

6%

12%

8%

Ideal Hair Colour of Male

Participants

Black

Brown

Red

Blonde

Others

34%

38%

13%

11%

4%

Ideal Hair Colour of Female

Participants

Black

Brown

Red

Blonde

Other

17

Question 15: Ideal Weight of Opposite Sex

Mode = 61-85kg Mode =61-85kg

Question 16: Ideal Height of Opposite Sex

Mode = 161-170cm Mode = 160-170cm

2%

41%

49%

7%

1%

Male's Ideal Weight of Opposite

Sex

31 – 45

46 – 60

61 – 85

86 – 100

Others

0%

15%

78%

6%

1%

Female's Ideal Weight of

Opposite Sex

31-45

46-60

61-85

86-100

Other

2%

41%

49%

1%

7%

Male's Ideal Height of Opposite Sex

141 – 150

151 – 160

161 – 170

171 - 180

181 - 190

0% 3%

26%

10% 61%

Female's Ideal Height of Opposite

Sex

140-150

150-160

160-170

170-180

180-190

18

Question 17: Ideal Body Shape of Opposite Sex

Mode = Square. Mode: Trapezium.

Question 18: Ideal Hairstyle of Opposite Sex

Mode: Wavy long hair. Mode: Spiky hair.

0%

37%

18%

45%

0%

Female's Ideal Body Shape of

Opposite Sex

Triangle

Inverted

Triangle

Square

Trapezium

Oval

16%

12%

58%

9%

5%

Male's Ideal Hairstyle of Opposite Sex

Pixie

Shoulder

Length

Wavy Long

Straight Long

Curly Bob

5%

20%

16% 57%

2%

Female's Ideal Hairstyle of

Opposite Sex

Shaved Head

Curly Long

Spiky

Medium Length

Wavy Long

7% 4%

53%

34%

2%

Male's Ideal Body Shape of

Opposite Sex

Triangle

Inverted

Triangle

Square

Trapezium

Oval

19

Question 19: Ideal Eye Colour of Opposite Sex

Mode = Brown eyes. Mode: Brown eyes.

Question 20: Ideal Hair Colour of Opposite Sex

Mode = Black hair. Mode: Black hair.

36%

43%

2% 11%

8%

Male's Ideal Eye Colour of

Opposite Sex

Black

Brown

Red

Green

Others

33%

46%

2% 16%

3%

Female's Ideal Eye Colour of

Opposite Sex

Black

Brown

Red

Green

Other

49%

35%

3% 9%

4%

Male's Ideal Hair Colour of

Opposite Sex

Black

Brown

Red

Blonde

Others

49%

44%

1% 5% 1%

Female's Ideal Hair Colour of

Opposite Sex

Black

Brown

Red

Blonde

Other

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Conclusion

In conclusion, we can further analyse our data starting with the difference in median of current

and ideal weight and height of both gender. The difference in median of weight in female which

is 4.7 is higher than the median in male which is 2.7. In the meantime, the difference in median

of height in female is 3.67 while in male is 23.94. This evidently that female have a greater goal

when it comes to weight but male have a greater goal when it comes to height. We further

proceed by calculating the difference in the frequency of the modal class in both current and

ideal weight and height of both gender. The result of the calculation shows that female have a

difference of 17 in the difference of frequency in weight while male have a difference of 3. Also,

female have a greater difference of frequency in modal class which is 21 while male only have

the difference of 7. This proves that a lot of female have a demand to change both their weight

and height where as most male are already satisfied with their current weight and height.

Furthermore, we can also observe that when the subject of body shape comes into questions both

the male and female participants have mostly achieved their ideal body shape and are

comfortable with their bodies. As for hair style, most males already posses their ideal hairstyle

whereas females do not. However, when it comes to eye colour most males and females have a

different ideal in mind from their natural eye colour. Lastly, it is also observed that most males

feel secure with there natural hair colour where as females do not share that security and invision

different ideals for themselves.

Moving on, we can observe the idealism of males and females of the opposite sex. The results

for ideal weight and height of males and females is very similair and the same can be said for

ideal hair colour and eye colour. This proves that teenagers, whether male or female have a very

specific ideal in mind when it comes to the opposite sex.

In closing, we can observe that male and female teenagers have different idealisms when it

comes to theselves. Males have insecurities when it comes to their height and always desire to be

taller. On the other hand, females find that weight is a greater issue and always desire to be

slimmer. Overall, we can also conclude that males are more secure with their current appearance

as compared to females.

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