• 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: 2425

Maths - Handling Data

Extracts from this document...

Introduction

Adam Warlow.                                                                                                                                          Pg 1

Maths Handling Data Coursework.

In this coursework I will be investigating whether or not height affects weight by looking at data from years 10 and 11 at Mayfield High School. I would expect that taller people will weigh more but obviously there will exceptions as some people are tall and skinny and some are short and broader, but generally the taller people should weigh more. I also expect year 11 to be taller and therefore weigh more than year 10 as they are older and should have grown more.

The data that I have been provided with is secondary data as I have not collected it myself. I intend to get a sample of 60 from the database consisting of 370 students. This sample will be a fair sample with each person having an equal chance of being chosen. I will ensure this is a fair sample by doing a stratified random sample in order to get a correct proportion of year 10 and 11 students. The year groups will be separated and each person in the year group given a number. Then I will use the random number button on my calculator, I will do this until I have the number of year 10 students I want, and then I will do the same for year 11 students. Using

...read more.

Middle

50

11

1.72

64

11

1.80

42

11

1.53

42

Adam Warlow.Pg 3

Frequency Tables - Height.

Height (h meters)

Frequency

1.0 < h <1.15

1

1.15 < h <1.30

0

1.30 < h <1.45

0

1.45 < h <1.60

8

1.60 < h <1.75

10

1.75 < h <1.90

9

1.90 < h <2.05

0

Year 10Year 11

Height (h meters)

Frequency

1.0 < h <1.15

0

1.15 < h <1.30

0

1.30 < h <1.45

1

1.45 < h <1.60

5

1.60 < h <1.75

18

1.75 < h <1.90

6

1.90 < h <2.05

2


Here are two tables representing the height of students in year 10 and in year 11.

By looking at the two tables, I can see that the modal class for each year group is 1.60 – 1.75 metres. The difference is huge in year 10 but in year 11 the difference is very small and by looking at the data it could be said that more people in year 10 are taller which is very surprising.

Percentages for Pie Charts.

Year 10Year 11

Height (h metres)

Percentage

1.0 < h < 1.15

0/32 x 100 = 0

1.15 < h < 1.30

0/32 x 100 = 0

1.30 < h < 1.45

1/32 x 100 = 3.13

1.45 < h < 1.60

5/32 x 100 = 15.63

1.60 < h < 1.75

18/32 x 100 = 56.25

1.75 < h < 1.90

6/32 x 100 = 18.75

1.90 < h < 2.05

2/32 x 100 = 6.25

Height (h meters)

Percentage

1.0 < h < 1.15

1/28 x 100 = 3.57

1.15 < h < 1.30

0/28 x 100 = 0

1.30 < h < 1.45

0/28 x 100 = 0

1.45 < h < 1.60

8/28 x 100 = 28.57

1.60 < h < 1.75

10/28 x 100 = 35.71

1.75 < h < 1.90

9/28 x 100 = 32.14

1.90 < h < 2.05

0/32 x 100 = 0


Adam Warlow.                                                                                                                                          Pg 4

Pie Charts – Height.

Year 10

image00.png


Year 11

image01.png

Adam Warlow.                                                                                                                                          Pg 6

Frequency Tables – Weight.

Year 10Year 11                  

Weight (W kg’s)

Frequency

30 < w <40

0

40 < w <50

8

50 < w <60

14

60 < w <70

6

70 < w <80

1

80 < w <90

3

...read more.

Conclusion

  1. Year 10:image04.png

Here there is a strong positive correlation suggesting that a pupil who is taller also weighs more.

Adam Warlow.                                                                                                                                        Pg 13

  1. Year 11:

image05.png

This graph is very similar to that of year 10 as it clearly shows a strong correlation suggesting that a pupil who is taller also weighs more.

Conclusion

My hypothesis that taller people will weigh more has been proved correct through this investigation. There is a strong correlation, which suggests that the two sets of data are related as I thought. However, my theory that the older you are the taller you are and therefore the more you weigh have been shown to be incorrect has year 10 pupils had both a higher average height and weight. This may be because the figures given by the pupils were incorrect.

Evaluation

In order to make this investigation more accurate and reliable I could have used a much bigger sample. Although this would involve a lot more time being spent and more calculations, the accuracy of the investigation would be much better and this may show and even stronger correlation and even prove my theory that the older you are, the taller you are and therefore the more you weigh.

However, I have only looked at a sample of the data, the sample was taken randomly and I have not been bias at any time throughout the investigation so I do believe that my conclusion is correct and that there is a strong correlation between height and weight of pupils in year 10 and in year 11.

...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. Mayfield maths courswork - is there a link between abilty in maths and abilty ...

    11 9 9 11 [Table 8: Male/Female Stratified Sample] Now that I know the number of males and females that I want in my sample of 20 from each year group, I will collect my data. To do so, I will use the same strategy as earlier in my investigation;

  2. Mayfield data

    there are also not many if any student with a height between 130 to 140 cm which shows me that the spread of data is compact which makes it easier to view trends and also it shows that there are not many irregularities in height in the student in my sample that I have taken.

  1. I will be testing the following hypothesis in my pilot study: ...

    Box-and-whisker plots are helpful in interpreting the distribution and spread of certain data. Also, they can be useful to display differences between populations without making any assumptions on its distribution or spread. Boys Girls Number in sample, n: 30 30 Mean, x: 1.552 1.51233 Standard Deviation, x: 0.100412 0.109169 Range,

  2. mayfield high school handling data coursework

    I am going to use stem and leaf diagrams because this type of diagram makes it easy for me to find the averages and range for my data this is important because they will help me prove my hypotheses by giving me a spread of my data telling me

  1. Mayfield Maths Coursework

    After picking my sample I will start to investigate both of my hypotheses. I will start by producing a scatter graph of the average Key Stage 2 score against IQ. If my hypothesis is correct I should find that the scatter graph of the two sets of data should produce a line of best fit with a positive gradient.

  2. Data handling coursework

    These are: * The lowest value * The lower quartile * The median * The upper quartile * The largest value * The interquartile range * The range of data It is easy to see the spread of data from a box and whisker plot because it is all shown on the one diagram.

  1. Data Handling Coursework

    For the scatter diagram shown above, Pearson's correlation value is 0.158817 which is not a strong positive correlation. Therefore I will separately find the correlations between height and weight of different year groups. Year Group 8 Height(m) Weight(kg) 1.32 48 1.72 50 1.59 55 1.61 48 1.62 46 1.56 54

  2. Maths Data Handling

    I also predict that most boys in my sample will have a greater height and weight than girls. This means that I predict that my results will show that the relationship between height and weight is affected by gender. Plan As stated in the introduction, my line of enquiry is: 'The relationship between height and weight'.

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