Maths Research

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  • 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. Table of Contents Title Page Number Contents 1 Introduction 2 Objectives 3 Methodology 4 Survey forms Analysis 5 Conclusion 20 1
  • 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. Objectives To identify male teenagers 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. 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 Taylors University Lakeside Campus. Giving out survey forms in the classroom. A participant filling in a survey form. 4
  • 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. 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. 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. 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. 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. 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. 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. 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. 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% 14% Current Body Shape of Female Participants Triangle 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. Question 9: Current Hairstyle Current Hair Style of Male Participants 10% Current Hairstyle of Female Participants 4% 1% 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 Mod