• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12
  13. 13
    13
  14. 14
    14
  15. 15
    15
  16. 16
    16
  17. 17
    17
  • Level: GCSE
  • Subject: Maths
  • Word count: 5055

I am going to investigate height. To begin with I will use a histogram to compare height throughout the school, then I will split this topic further to compare height of boys/girls. I will compare these with the national averages.

Extracts from this document...

Introduction

PLAN

I am going to investigate height.  To begin with I will use a histogram to compare height throughout the school, then I will split this topic further to compare height of boys/girls.  I will compare these with the national averages.  Then I will investigate the hypothesis ‘the difference in height between boys in years seven and those in year 11 is greater than the difference in height between girls from the same years’.

PROJECT

1. Throughout the school

I am going to use a histogram to compare the average height of students throughout the school.

Why use a histogram?

Histograms (frequency density against height) are more appropriate than bar charts for displaying data with grouped frequencies for different ranges of values.   They have other advantages – it is clearer to display class intervals with low comparative frequencies if the class width is made wider for such intervals.  It will show the data clearly for comparison, displaying plainly which intervals of height have the greatest number of students and which have the fewest.

Method

First I needed to take a stratified sample of students to represent the whole school.  As the sample is at random it ought to show the same results as a histogram of the whole school, just on a smaller scale.

...read more.

Middle

7

1.70

7

1.56

7

1.42

7

1.51

7

1.63

7

1.56

7

1.63

7

1.60

8

1.43

8

1.70

8

1.72

8

1.55

8

1.65

8

1.44

8

1.75

8

1.41

8

1.73

8

1.51

8

1.70

8

1.65

8

1.54

8

1.59

8

1.45

8

1.73

8

1.75

8

1.72

8

1.73

8

1.60

8

1.44

9

1.58

9

1.52

9

1.69

9

1.54

9

1.60

9

1.60

9

1.60

9

1.56

9

1.55

9

1.40

9

1.52

9

1.65

9

1.61

9

1.50

9

1.65

9

1.76

9

1.53

9

1.51

9

1.70

9

1.60

9

1.53

9

1.71

9

1.51

9

1.70

9

1.58

10

1.65

10

1.72

10

1.75

10

1.75

10

1.56

10

1.65

10

1.80

10

1.70

10

1.50

10

1.55

10

1.41

10

1.73

10

1.67

10

1.62

10

1.60

10

1.72

11

1.50

11

1.63

11

1.55

11

1.72

11

1.65

11

1.61

11

1.63

11

1.57

11

1.56

11

1.61

11

1.63

11

1.63

11

1.57

11

1.55

11

1.80

The BOYS data I used in drawing a cumulative frequency graph and box plot.  It shows year and height.

7

1.62

7

1.61

7

1.51

7

1.53

7

1.50

7

1.51

7

1.58

7

1.68

7

1.50

7

1.55

7

1.69

7

1.36

7

1.65

7

1.57

7

1.48

7

1.44

7

1.47

7

1.64

7

1.55

7

1.52

7

1.51

7

1.52

7

1.50

7

1.63

7

1.51

8

1.67

8

1.52

8

1.52

8

1.34

8

1.60

8

1.60

8

1.77

8

1.35

8

1.60

8

1.73

8

1.60

8

1.65

8

1.67

8

1.50

8

1.83

8

1.32

8

1.69

8

1.70

8

1.65

8

1.50

8

1.55

8

1.55

8

1.68

8

1.55

9

1.67

9

1.72

9

1.80

9

1.65

9

1.70

9

1.65

9

1.63

9

1.48

9

1.68

9

1.71

9

1.75

9

1.70

9

1.48

9

1.72

9

1.58

9

1.55

9

1.67

9

1.56

9

1.72

9

1.50

10

1.63

10

1.67

10

1.74

10

1.80

10

1.55

10

1.77

10

1.50

10

1.75

10

1.57

10

1.65

10

1.71

10

1.60

10

1.89

10

1.70

10

1.79

10

1.57

10

1.77

11

1.83

11

1.68

11

1.52

11

1.71

11

1.67

11

1.81

11

1.72

11

1.81

11

1.80

11

1.91

11

1.85

11

1.76

11

1.65

11

1.86


3. The height charts I used when making a global comparison using my data

The thickest red line in the middle is the average.  It shows that 50% are taller than the line and 50% are shorter.  The other four lines are also percentile lines.  For example, the one labelled 95 means that 95%

...read more.

Conclusion

ass="c6">1.70

11

1.68

11

1.75

11

1.63

11

1.75

11

1.72

11

1.68

11

1.62

11

1.58

11

1.65

11

1.37

11

1.60

11

1.03

11

1.63

11

1.57

11

1.80

11

1.55

11

1.52

11

1.62

11

1.68

11

1.74

11

1.69

11

1.60

11

1.62

11

1.60

11

1.55

11

1.70

11

1.63

11

1.56

11

1.61

11

1.52

11

1.59

11

1.63

11

1.62

11

1.70

11

1.58

11

1.65

11

1.73

11

1.62

11

1.72

11

1.68

11

1.33

11

1.56

11

1.65

11

1.78

11

1.54

11

1.55

11

1.65

11

1.50

11

1.52

11

1.60

11

1.69

11

1.59

11

1.76

11

1.71

11

1.52

11

1.53

11

1.60

11

1.70

11

1.69

11

1.65

11

1.67

11


The BOYS data used when comparing the heights of year seven and year 11

Height (m)

Year

1.45

7

1.48

7

1.55

7

1.62

7

1.60

7

1.42

7

1.59

7

1.45

7

1.50

7

1.41

7

1.36

7

1.52

7

1.54

7

1.52

7

1.64

7

1.36

7

1.56

7

1.49

7

1.65

7

1.47

7

1.47

7

1.54

7

1.73

7

1.58

7

1.53

7

1.46

7

1.62

7

1.60

7

1.60

7

1.52

7

1.55

7

1.60

7

1.59

7

1.68

7

1.63

7

1.55

7

1.48

7

1.53

7

1.62

7

1.71

7

1.65

7

1.35

7

1.50

7

1.42

7

1.57

7

1.43

7

1.58

7

1.65

7

1.49

7

1.62

7

1.61

7

1.50

7

1.52

7

1.54

7

1.47

7

1.62

7

1.75

7

1.55

7

1.51

7

1.51

7

1.58

7

1.42

7

1.40

7

1.61

7

1.55

7

1.44

7

1.67

7

1.64

7

1.59

7

1.53

7

1.51

7

1.53

7

1.42

7

1.49

7

1.48

7

1.63

7

1.50

7

1.53

7

1.54

7

1.54

7

1.48

7

1.61

7

1.65

7

1.30

7

1.61

7

1.47

7

1.67

7

1.61

7

1.50

7

1.47

7

1.67

7

1.50

7

1.52

7

1.63

7

1.43

7

1.45

7

1.58

7

1.60

7

1.65

7

1.63

7

1.49

7

1.68

7

1.65

7

1.55

7

1.62

7

1.53

7

1.54

7

1.74

7

1.52

7

1.50

7

1.59

7

1.65

7

1.52

7

1.70

7

1.52

7

1.52

7

1.54

7

1.65

7

1.43

7

1.57

7

1.52

7

1.59

7

1.52

7

1.56

7

1.49

7

1.72

7

1.55

7

1.41

7

1.41

7

1.55

7

1.57

7

1.48

7

1.55

7

1.62

7

1.50

7

1.53

7

1.60

7

1.62

7

1.51

7

1.52

7

1.73

7

1.65

7

1.68

7

1.69

7

1.50

7

1.55

7

1.62

7

1.55

7

1.53

7

1.60

7

1.60

7

1.67

11

1.71

11

1.52

11

1.72

11

1.91

11

1.77

11

1.8

11

1.86

11

1.81

11

1.75

11

1.85

11

1.72

11

1.32

11

1.62

11

1.62

11

1.67

11

1.88

11

1.55

11

1.51

11

1.78

11

1.6

11

1.69

11

1.61

11

1.68

11

1.65

11

1.62

11

1.79

11

1.8

11

1.8

11

1.58

11

1.73

11

1.85

11

1.82

11

1.62

11

1.75

11

1.96

11

1.81

11

2

11

1.65

11

1.82

11

1.74

11

1.94

11

1.69

11

1.67

11

1.5

11

1.86

11

1.68

11

1.68

11

1.83

11

1.68

11

1.65

11

1.62

11

1.8

11

1.68

11

1.71

11

1.7

11

1.62

11

1.67

11

1.64

11

1.92

11

1.97

11

1.52

11

1.84

11

1.62

11

1.57

11

1.67

11

1.72

11

1.76

11

1.57

11

2.06

11

1.61

11

1.63

11

1.65

11

1.51

11

1.73

11

2

11

1.52

11

1.78

11

2.03

11

1.7

11

1.65

11

1.7

11

1.8

11

1.84

11

Stem and Leaf diagrams summarising this data

7G

11        9image03.png

12        055

13        001226

14        112222223355566777888888888899

15        0000001111222222223333344455666667788889999999

16        0000000111122222222233333344445556

17        023335559

18        00

11G

10        3image04.png

11        

12        

13        37

14        

15        02222234555566678899

16        00000011122222223333333355555555778888889999

17        00001222233345568

18        03


7B

13        0566image05.png

14        0111222233345556777778888899999

15        00000000011112222222222223333333344444445555555555566777888899999

16        00000000111112222222223333445555555557778889

17        0123345

11B

13        2image03.png

14        

15        0112225778

16        01122222223455555777778888899

17        000112223345567889

18        00000112234455668

19        12467

20        0036

A table displaying the values I used in drawing my stem and leaf diagrams

BOYS

GIRLS

Year 7 (cm)

Year 11 (cm)

Difference (cm)

Year 7 (cm)

Year 11 (cm)

Difference (cm)

Minimum

130.00

132.00

2.00

119.00

103.00

-16.00

Lower Quartile

150.00

162.75

12.75

148.00

159.00

11.00

Median

155.00

170.00

15.00

154.00

163.00

9.00

Upper Quartile

161.50

180.25

18.75

162.00

169.00

7.00

Maximum

175.00

206.00

31.00

180.00

183.00

3.00

...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.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

  1. Practical Report: Drosophila BreedingAim In this practical experiment I will cross wild fruit flies ...

    Female wild XXbb Female vestigial XYBb Male wild XYbb Male vestigial Xb XXBb Female wild XXbb Female vestigial XYBb Male wild XYbb Male vestigial Female Gametes Phenotype = 75% wild 6 female: 6 male 25% vestigial 2 female: 2 male Expected ratio 3:1 Discussion In the result, I have got 100% of wild (14 male: 14 female)

  2. Conduct an investigation comparing height and weight from pupils in Mayfield School.

    w < 40 7 40 ? w < 45 12 45 ? w < 50 10 50 ? w < 55 13 55 ? w < 60 3 60 ? w < 65 2 Total 50 As you can see the first two intervals and the first two intervals and the last two intervals have very

  1. Boys are taller than girls, I am going to investigate this by looking at ...

    Year 11 3, 8, 10, 34, 36, 75, 81 Girls Year 7 14, 21, 23, 26, 53, 60, 69, 83, 86, 90, 92 Year 8 7, 12, 16, 56, 59, 60, 69, 81, 87, 92, 97 Year 9 10, 17, 28, 37, 51, 52, 56, 66, 67, 80, 96, 139

  2. Liquid chromatography is a technique used to separate components of a mixture to isolate ...

    Empirically, the equation for HETP in HPLC is given by: HETP = A + C�n Where n is an empirical constant in the range 0.3-0.6. The A (eddy diffusion) term turns out to be small and almost a constant value and is therefore neglected.

  1. Statistics GCSE Coursework. Height and weight of pupils. The sampling method I am ...

    I was able to produce an equation for my line of best fit as follows: y= -5.6572+35.5356x In simple terms: Weight (kg) = -5.6572 + (35.5356 x height in metres) The equation can be interpreted as follows: the gradient 35.5356 indicates that for every metre gained in height 35.5356kg is gained in weight so for ever 0.1m 3.55kg (2dp)

  2. I would like to know whether there is a link between ability in Maths ...

    8 Male 4 4 7 Male 5 5 9 Male 5 5 8 Male 4 4 8 Male 5 4 8 Male 3 3 7 Male 4 5 9 Female 4 4 7 Male 3 5 8 Male 6 6 8 Male 6 6 7 Female 4 4 7 Female

  1. For my Statistics coursework I have decided that I will compare weight and height. ...

    This enables the word "outlier" to appear next to a figure if it is under 29. To find out any outliers that are over 69 I have used another formula this is: =IF(J10>69,"outlier") This enables the word "outlier" to appear next to a figure if it is over 69.

  2. Data Handling Project : Heights of Girls

    Since the boys S.D. was again lower then the females it is fair in saying that my random sample of boys was a better pick then my random sample of female. I could improve this by re-doing my tests or adding more people to my sample.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work