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# Maths assignment

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### Maths assignment

1. 1. 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 0
2. 2. Table of Contents Title Page Number Contents 1 Introduction 2 Objectives 3 Methodology 4 Survey forms Analysis 5 Conclusion 20 1
3. 3. 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. 2
4. 4. 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). 3
5. 5. 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. 4
6. 6. Analysis Analysis of Male Participants Question 1: Current Weight Current Weight of Male Participants 70 60 Frequency 50 40 30 Male 20 10 0 31-45 46-60 61-85 Weight (kg) 86-100 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) 31-45 46-60 61-85 86-100 Frequency (f) 0 34 58 8 ∑f=100 Midpoint (x) 38 53 73 93 fx 0 1462 4234 744 ∑fx=6440 Mean = ∑fx/∑f = 6440/100 = 64.4kg 5
7. 7. Question 2: Ideal Weight Ideal Weight of Male Participants 70 60 Frequency 50 40 30 Male 20 10 0 31-45 46-60 61-85 Weight (kg) 86-100 Others 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) 31-45 46-60 61-85 86-100 Others Frequency Cumulative Frequency 1 1 33 (34) (61) 95 4 99 1 100 Median = 60.5 + [(100/2 - 34)/61] (25) = 67.06kg 6
8. 8. Question 3: Current Height Current Height of Male Participants 60 Frequency 50 40 30 Male 20 10 0 140-150 151-160 161-170 Height 171-180 181 - 190 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: Height (cm) 140-150 151-160 161-170 171-180 181 - 190 Frequency Cumulative Frequency 0 0 6 (6) (48) 54 18 72 28 100 Median = 160.5 + [(100/2 - 6)/48] (10) = 169.67cm 7
9. 9. Question 4: Ideal Height Ideal Height of Male Participants 60 Frequency 50 40 30 Male 20 10 0 140-150 151-160 161-170 Height (cm) 171-180 181 - 190 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: Height (cm) 140-150 151-160 161-170 171-180 181 - 190 Frequency Cumulative Frequency 1 1 1 2 25 27 18 (45) (55) 100 Median = 180.5 + [(100/2 - 45)/55] (10) = 181.41cm 8
10. 10. Analysis of Female Participants Question 1: Current Weight Frequency Current Weight of Female Participants 50 45 40 35 30 25 20 15 10 5 0 Female 31-40 41-50 51-60 Weight (kg) 61-70 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) 31-40 41-50 51-60 61-70 Frequency (f) 37 45 17 1 ∑f=100 Midpoint (x) 35.5 45.5 55.5 65.5 fx 1313.5 2047.5 943.5 65.5 ∑fx=4370 Mean = ∑fx/∑f = 4370/100 = 43.7kg 9
11. 11. Question 2: Ideal Weight Ideal Weight of Female Participants 70 60 Frequency 50 40 30 Female 20 10 0 31-40 41-50 51-60 Weight (kg) 61-70 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) 31-40 41-50 51-60 61-70 Frequency Cumulative Frequency 1 (1) (62) 63 35 98 2 100 Median = 40.5 + [(100/2 - 1)/62] (10) = 48.40kg 10
12. 12. Question 3: Current Height Current Height of Female Participants 60 Frequency 50 40 30 Female 20 10 0 140-150 151-160 161-170 171-180 Height (cm) 181 - 190 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: Height (cm) 140-150 151-160 161-170 171-180 181 - 190 Frequency Cumulative Frequency 2 2 40 (42) (52) 94 3 97 3 100 Median = 160.5 + [(100/2 - 42)/52] (10) = 162.04cm 11
13. 13. Question 4: Ideal Height Ideal Height of Female Participants 80 70 Frequency 60 50 40 Female 30 20 10 0 140-150 151-160 161-170 171-180 Height (cm) 181 - 190 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: Height (cm) 140-150 151-160 161-170 171-180 181 - 190 Frequency Cumulative Frequency 1 1 11 (12) (73) 85 3 88 12 100 Median = 160.5 + [(100/2 - 12)/73] (10) = 165.71cm 12
14. 14. 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 Current Body Shape of Male Participants 3% Current Body Shape of Female Participants Triangle 14% 14% 19% Inverted Triangle 16% 18% Square 18% Square 38% Inverted Triangle Hourglass 26% Trapezium Mode = Trapezium body shape. 34% Triangle Mode = Hourglass body shape. Question 8: Ideal Body Shape Ideal Body Shape of Male Participants 1% 0% Triangle Inverted Triangle 35% 54% 10% Ideal Body Shape of Female Participants Square Trapezium Mode = Trapezium body shape. 0% 7% 12% Inverted Triangle Square 37% 44% Hour glass Triangle Mode = Hourglass body shape. 13
15. 15. Question 9: Current Hairstyle Current Hair Style of Male Participants 10% Current Hairstyle of Female Participants 1% 4% 4% Pixie Shaved Head 20% 15% Curly Long 37% Medium Length 51% Shoulder length 26% Spiky Wavy long 32% Wavy Long Straight long Mode: Spiky hair. Mode: Shoulder length hair. Question 10: Ideal Hairstyle Ideal Hairstyle of Male Participants Current Hairstyle of Female Participants 2% 10% 7% 15% 16% 15% 47% Shaved Head Curly Long Spiky Medium Length Wavy Long Mode: Spiky hair Pixie 38% 11% Shoulder length Wavy long 39% Straight long Mode: Wavy long hair. 14
16. 16. Question 11: Current Eye Colour Current Eye Colour of Male Participants 1% 1% Current Eye Colour of Female Participants 1% 1% 0% 1% Black Black Brown 37% Brown 34% Red 60% Red Green 64% Others Green Other Mode = Black eyes. Mode: Black eyes. Question 12: Ideal Eye Colour Ideal Eye Colour of Male Participants Ideal Eye Colour of Female Participants Black 24% 21% 11% 27% Red 7% 9% Brown Black 8% 3% 39% Mode = Brown eyes. Red Green Others Brown Green 51% Other Mode: Brown eyes. 15
17. 17. Question 13: Current Hair Colour Current Hair Colour of Male Participants Current Hair Colour of Female Participants 0% 1% 1% 6% 5% 0% Black 18% Black Brown Brown 45% Red 44% Blonde 80% Red Blonde Other Others Mode = Black hair. Mode: Black Hair Question 14: Ideal Hair Colour Ideal Hair Colour of Male Participants Ideal Hair Colour of Female Participants 4% 8% Black 12% 44% 6% 34% Brown Red Black 11% 13% Red Blonde 30% Others Mode = Black hair Brown Blonde 38% Other Mode: Brown hair 16
18. 18. Question 15: Ideal Weight of Opposite Sex Male's Ideal Weight of Opposite Sex Female's Ideal Weight of Opposite Sex 1% 2% 1% 7% 6% 31 – 45 0% 15% 31-45 46 – 60 49% 46-60 61 – 85 61-85 86 – 100 41% 86-100 Others Other 78% Mode = 61-85kg Mode =61-85kg Question 16: Ideal Height of Opposite Sex Male's Ideal Height of Opposite Sex Female's Ideal Height of Opposite Sex 0% 3% 2% 1% 7% 141 – 150 41% 49% 140-150 26% 151 – 160 161 – 170 171 - 180 160-170 61% 10% 181 - 190 Mode = 161-170cm 150-160 170-180 180-190 Mode = 160-170cm 17
19. 19. Question 17: Ideal Body Shape of Opposite Sex Male's Ideal Body Shape of Opposite Sex Female's Ideal Body Shape of Opposite Sex 0% 0% Triangle 2% Triangle 4% 7% Inverted Triangle 34% Square 37% 45% Square Trapezium Trapezium 53% Inverted Triangle 18% Oval Mode = Square. Oval Mode: Trapezium. Question 18: Ideal Hairstyle of Opposite Sex Male's Ideal Hairstyle of Opposite Sex 2% 5% Pixie 5% 9% Female's Ideal Hairstyle of Opposite Sex Shaved Head Shoulder Length 16% 12% 58% 20% Wavy Long Straight Long Curly Long Spiky 57% 16% Medium Length Wavy Long Curly Bob Mode: Wavy long hair. Mode: Spiky hair. 18
20. 20. Question 19: Ideal Eye Colour of Opposite Sex Male's Ideal Eye Colour of Opposite Sex Female's Ideal Eye Colour of Opposite Sex 3% 8% 2% 11% Black 36% Brown 2% Black 16% 33% Brown Red Green 43% Red Green 46% Others Mode = Brown eyes. Other Mode: Brown eyes. Question 20: Ideal Hair Colour of Opposite Sex Male's Ideal Hair Colour of Opposite Sex Female's Ideal Hair Colour of Opposite Sex 4% 3% 1% 9% 5% 1% Black Black Brown Brown 49% 35% 49% Red Blonde 44% Blonde Other Others Mode = Black hair. Red Mode: Black hair. 19
21. 21. 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. 20