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  • Level: GCSE
  • Subject: Maths
  • Word count: 1758

Introduction (Statistical investigation) The aim of this statistical investigation is to find the relationship between height and weight in year 11's. The investigation will include a comparison between boy's and girls.

Extracts from this document...

Introduction

image01.png

Yr11 STASTTICAL COURSEWORK

Introduction (Statistical investigation)

The aim of this statistical investigation is to

  1. Find the relationship between height and weight in year 11’s.

The investigation will include a comparison between boy’s and girls.

Collection Data

I have chosen year 11 students which contains 25 boys and 25 girls from the Mayfield High School data set. I have token a random sample from the year 11 data set. I have done this by choosing every 2nd male and every 2nd female. This has bought the sample size down to 12 boys and 12 girls.  

                BOYS                                        GIRLS  

Boys Height (M)

Boys Weight(KG)

Girls Height (M)

Girls Weight (KG)

1.71

57

1.83

60

1.8

60

1.6

54

1.32

45

1.62

56

1.62

56

1.62

54

1.78

67

1.65

42

1.61

47

1.68

47

1.68

50

1.72

60

1.65

54

1.62

51

1.8

72

1.58

54

1.8

72

1.65

54

1.73

60

1.03

45

1.81

54

1.55

50

1.68

63

1.62

48

1.68

63

1.68

50

1.83

75

1.63

48

1.67

70

1.56

45

1.64

60

1.63

38

1.97

84

1.58

48

1.52

38

1.68

47

1.84

78

1.56

38

1.76

62

1.5

45

1.57

54

1.7

54

1.61

42

1.69

50

1.73

50

1.65

48

1.78

37

1.67

48

Here is my sample of 25 boys and 25 girls.

Boys height (M)

Boys Weight (KG)

Girls height(M)

Girls Wieght(KG)

1.8

60

1.6

54

1.62

56

1.62

54

1.61

47

1.68

47

1.65

54

1.62

51

1.8

72

1.65

54

1.81

54

1.55

50

1.68

63

1.68

50

1.67

70

1.56

45

1.97

84

1.58

48

1.84

78

1.56

38

1.57

54

1.7

54

1.73

50

1.65

48

This is my random chosen sample of the 12 boys and 12 girls.

...read more.

Middle

1

Boys weight(kg)

Tally

Frequency

46-50

2

51-55

3

56-60

2

61-65

1

66-70

1

71-75

1

76-80

1

81-85

1

86+

0

GIRLS

Girls Height

Tally

frequency

1.51-1.55

1

1.56-1.6

4

1.61-1.65

4

1.66-1.7

3

1.71-1.75

0

1.76-1.8

0

1.81+

0

Girls  weight

Tally

Frequency

35-40

1

46-50

1

51-55

5

56-60

5

61-65

0

66-70

0

71-75

0

76-80

0

81-85

0

86+

0

Mean, Mode, Median, Range

Boys    (Mean)

Height = 1.8+1.62+1.61+1.65+1.8+1.81+1.68+1.67+1.97+1.84+1.57+1.73

= 20.75

20.75 / 12 =1.7291

Mean = 1.723

Weight = 60+56+47+54+72+54+63+70+84+78+54+50  

= 742

742 / 12 = 61.8333

Mean = 61.83

(Mode)

Boy’s height: - 1.6

Boys Weight: - 54

(Median)    

Height

1.57,1.61,1.62,1.65,1.65,1.67,1.68,1.73,1.8,1.8,1.8,1.84,1.97

1.67+1.68 = 3.35 / 2= 1.675

Median = 1.68

Weight

47,50,54,,54,54,56,60,63,70,72,78,54

56+60=116

116/2=58

(Range)

Height

1.97-1.57=0.4

Weight

84-47=37

Girls

(Mean)

Height: - 1.6+1.62+1.68+1.62+1.65+1.55+1.68+1.56+1.58+1.56+1.7+1.65= 19.45

19.45/12=1.6208

Mean =1.62

Weight: - 54+54+47+51+54+50+50+45+48+38+54+48 =593

593/12= 49.416662

Mean = 49.4

(Mode)

Height:-1.6

Weight: - 54

(Median)

Height:-   1.55,1.56,1.56,1.58,1.6,1.62,1.62,1.65,1.65,1.68,1.68,1.7

1.62+1.62 = 3.24

3.24 / 2 = 1.62

Median = 1.62

Weight : - 38,45,47,48,48,50,50,51,54,54,54,54

50+50 = 100

100 / 2 = 50

Median = 50

Range

Height: - 1.7-1.55= 0.15

Range = 0.15

 Weight: - 54-38 = 16

Range = 16

Here is a summary table of mean, mode, median and range.

Height

Mean

Mode

Median

Range

Boys

1.73

1.6

1.67

0.4

Girls

1.62

1.6

1.62

0.15

...read more.

Conclusion

Referring to the hypothesis: - “The taller you get the heavier you get” the three scatter diagrams show correlation between weight and height. In the individual scatter diagram for boys and girls separately there is a weaker correlation. In the mixed scatter diagram there is a stronger correlation.

From these scatter diagrams the equations of lines were produced. This enables me to estimates the values of boys and girls height and weight.

There were fewer students in Year 11 then any others years.

This makes the bias or unfair because I was choosing from a smaller sample.

Final Summary

A sample of 50 year 11 students from Mayfield High School was chosen for this investigation. I chose every other boy and girl; these bought my sample down to 12 boys and 12 girls. This data was analysis for a relationship for height and weight.

The relationship I found after analysing this set of data was that boys were heavier and taller in comparison to girls. The girls in general are less weight and shorter.

image06.png

...read more.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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