• 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
  • Level: GCSE
  • Subject: Maths
  • Word count: 2021

Investigate the relationship between height and weight.

Extracts from this document...

Introduction

Data Handling

Introduction:

For my investigation I am using data from a simulated school called Mayfield High School. This is a mixed secondary school with 265 students. There are 2-year groups, 10 and 11. This contains many different records, including, first name, surname, height, weight, age, month of birth, gender, IQ, distance between home and school, and Ks2 result. I have chosen to investigate the relationship between height and weight, because it is quite probable that they influence each other. Here are my hypotheses, which are all related to height, weight or both.

  1. There will be a positive correlation between height and weight of both years.
  1. To investigate if students of year 10 are heavier then year 11.
  1. To find out if students in year 11 are taller.

.

I will collect data on the height and weight of 50 students from both years. I will do a random stratified sample. After every four students I will pick one. I will investigate these hypotheses by drawing scatter graphs cumulative frequency graphs.

I

...read more.

Middle

72

31

1.85

73

32

1.68

48

33

1.88

75

34

1.6

38

35

1.65

54

36

1.8

72

37

1.65

54

38

1.62

63

39

1.81

54

40

1.68

50

41

1.69

54

42

1.70

63

43

1.68

56

44

1.71

54

45

1.70

60

46

1.92

45

47

1.84

78

48

1.67

52

49

1.72

51

50

1.73

47

image01.png

 Analysis for this graph:

In this graph I can see the points are close to the line and slope upwards. In this case my hypothesis was right, as I have mentioned in my prediction an increasing in height will increase the weight of students. In this case my prediction was right.

Weight:

I will investigate whether the students of year 10 are heavier then the students in year 11. To do this I will draw a cumulative frequency table and then graph. Then I will draw a box plot.

Weight of 50 students in year 10  

70

56

56

52

59

64

50

72

54

55

70

57

65

57

65

72

45

63

45

36

56

58

57

40

50

48

62

60

60

72

66

57

55

50

51

36

50

45

47

56

60

54

60

56

48

59

40

80

48

56

Weight

  (kg)

    Tally

Frequency

      (F)

Mid-interval value, X

    FX

Cumulative Frequency

35≤ w <40

40< w <45

45≤ w <50

50≤ w <55

55≤ w <60

60≤ w <65

65≤ w <70

70≤ w <75

75≤ w <80

80≤ w <85

         2

         2

         9

         6

        15

         7

         3

         5

         0

         1

           38

           43

           48

           53

           58

           63

           68

           73

           78

           83

    76

     86

     432

     318

      87

     441

     204

     364

      0

      83

          2

          4

          13

          19

          34

          41

          44

          49

          49

          50

        50

      2092

Weight of 50 students in year 11  

36

44

54

60

48

58

54

50

50

56

51

72

54

45

68

58

50

35

60

63

92

45

50

48

84

84

54

44

64

72

72

48

75

38

54

72

54

63

54

50

54

63

56

54

60

45

78

52

51

47

Weight

  (kg)

...read more.

Conclusion

1.85≤ h <1.90

1.90≤ h <1.95

1.95≤ h <2.00

        2

        4

       10

       10

       10

       3

       6

       2

       1

       2

        1.53

        1.58

        1.63

        1.68

        1.73

        1.78

        1.83

       1.88

       1.93

       1.98

      3.05

      6.30

      16.25

      16.75

      17.25

      3.56

      10.95

      3.75

      1.925

      3.95

        3

        7

       17

       27

       37

       39

       45

       47

       48

       50

50

84.75

Hypothesis 3:

I think the students in year 11 are taller then students in year 10. This is because I think the older you are the taller you are.

Analysis for this graph:

The cumulative frequency I have drawn shows the height of students in year 10 and year 11. By looking at it at glance I can see the students in year 11weight more then students in year 10. The curve from the graph are very similar they only different in length.

The box plot shows that the students in year 11 the median is 1.695 whereas in year 10 the median is 1.68.

Year 10:

Median = 1.68

Upper Quartile = 1.75
Lower Quartile = 1.595
Inter Quartile Range = Upper Quartile – Lower Quartile

                                     =       1.75               –            1.595

                                     = 0.155

Year 11:

Median = 1.695

Upper Quartile = 1.715
Lower Quartile = 1.63
Inter Quartile Range = Upper Quartile – Lower Quartile

                                     =       1.715–          1.63

                                     = 0.085

Conclusion:

I think my project has gone well, and I have fulfilled my investigation to prove correct or incorrect from my hypotheses. But although my sample was large enough to come to a reasonable conclusion, as to whether my hypotheses were correct or incorrect, for my results have been more to foolproof, I think I’ve choose large number of data to make it fair sample.

I think my hypotheses were accurate almost.

...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. Determine the relationship between the range of the jump achieved by the ski jumper ...

    So this information tells us that for a shorter stool the time is more. In other words, more time more distance to travel, less time less distance to travel, thus affecting the range. Conclusion From my predicted range I have shown the relationship between the dropping height on slope and the range.

  2. maths coursework-Height and Weight of Pupils and other Mayfield High School investigations

    1.52 60 1.70 58 1.72 56 1.52 45 1.8 60 1.62 52 1.75 57 1.8 60 1.65 55 1.55 36 1.60 66 Scatter diagram I will now draw a scatter diagram for this data to compare height and weight. 1 My line of best fit must have passed through the point (160, 50).

  1. How the mass and height of the pupils differ from each other in different ...

    However I will then selectively sample the strata groups. This is when every nth term is chosen. The reason I will choose this as my method is because I will get a relatively even number of males and females. This is essential as it is key to my hypothesis as I am studying the differences between boys and girls.

  2. The factors I have chosen to investigate are the relation of height and weight ...

    1.65 52 1.58 45 1.62 44 1.53 40 1.50 50 1.56 43 1.54 38 1.41 39 1.62 50 1.52 43 1.55 40 1.63 51 1.51 45 1.60 42 1.42 40 1.48 37 1.61 43 1.41 40 1.44 42 1.60 45 1.64 55 1.53 47 1.53 40 1.30 45 1.53 48

  1. In the main study, my main finding was that weight and height were related ...

    However, I will be making predictions on what I think I will find in each comparison I do. I will be showing this data in many different ways which will be such as graphs, tables and diagrams. After I have achieved the best relationships and patterns between the different categories

  2. Obesity and height and weight

    pupils in year 7 to year 11 and it includes both boys and girls. From this box and whisker plot I can tell that the median MBI from the data that has been sampled is 19.0. I have also concluded that the middle 50 percent of the values lie between

  1. elationship exists or can be established between the height and weight of students

    Then I will collect all the data from each year group and present it by year group in ascending order. 8. After doing this I will construct a scatter graph of height against weight and plot the perfect regression line to show a trend and to work out the correlation of the data.

  2. Testing 3 Hypotheses on Pupils Height and Weight.

    I found that the correlation between overall height and weight for the different key stages had a moderate correlation. I found that the correlation coefficient was 0.4 which is not that high but not that low. I can see this because the points on the graph usually have a positive

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