• 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
  • Level: GCSE
  • Subject: Maths
  • Word count: 1731

Maths mayfair

Extracts from this document...

Introduction

image19.jpgimage00.png

I have been presented with data of secondary nature, about a school named Mayfield high school. This is table shows the number of pupils.

Year group

Number of boys

Number of girls

Total

7

151

131

282

8

145

125

270

9

118

143

261

10

106

94

200

11

84

86

170

There 1183 students in this high school, and they have carried out several surveys, and put information on every single students into their own record on a database. The database contains several kinds of information, for example, name, age, year group, IQ, weight, height, eye colour, hair colour, test results, etc.

The variations I have chosen to follow for my coursework are:

  1. The relationship between height and weight

Keeping in mind that there are 1183 students, I cannot provide these enquiries onto each pupil. I must take a suitable sample. Sampling helps to pick and choose some data needed to gain a result. Here are the methods available:

Year group

Total number of students

Number students to be taken

7

282

282/1183 x 100 = 24

8

270

270/1183 x 100 = 23

9

261

261/1183 x 100 = 22

10

200

200/1183 x 100 = 17

11

170

170/1183 x 100 = 14

Total students = 100

The students taken must be taken at random.

SAMPLE SIZE:

Taking a fixed percentage out of the 1183 students uses a sample size.

...read more.

Middle

image09.png

Aim –  to find and comment on the proper relationship between height and weight. Also, answer questions such as, is there a line of best fit? What is the correlation of the graph? Is there a clear relationship and how is it proved?

Hypothesis – for this enquiry I predict that the taller the height, the heavier the weight. I will test this throughout enquiry one. I believe this hypothesis because according to science if you are taller, so to will your bones. Therefore if your bones are bigger, then in the rules of science they must be heavier.

...read more.

Conclusion

From my results the mode numbers for height are 1.72m, 1.65m, 1.62m and 1.60m.  The mode for weight is 50 kg.

From my results the median height is:    

   192.52 + 1  

                        = 96.76th positionimage08.png

          2

Which is 1.70m

From my results the median weight is:

6008 + 1image08.png

                   = 3004.5th position

     2

Which is 85kg

From my results the height average is:

        192.52

Mean = image11.png

                  118  

          = 1.632m

The average weight is:

        6008

Mean = image11.png

                  118  

          = 50.92kg

Therefore we learn the average person is 50.92kg in weight, and 1.632m in height.

I will also work out the mean of the deviations,

The mean deviation for height is:

                                 1501.6

Mean deviation = image12.png

        118

                         = 12.73cm

The mean deviation for weight is:

                                 1088.720

Mean deviation = image12.png

        118

                         = 9.226kg

Using the equation on my graph, I can work what height or weight a person will be based on the line of best fit.

If a person weighs 50kg,

y= 0.0073 x 50 + 1.2482      =1.6078m is their height (from the line of best fit)

If a person weighs 40kg,

y= 0.0073 x 40 + 1.2482      =1.5402m is their height (from the line of best fit)

Therefore from all of these calculations I have proven my hypothesis to be correct. This is because I have shown as the weight increases so to does the height.

image22.pngimage23.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.

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. Investigation between the height and the weight of a sample of students.

    I chose 30 as it divides exactly into 360 which is how many degrees there are in a circle therefore it will make it easier to draw a pie chart from the data I will have collected. Now that I have decided to take 30, I will first take 30

  2. Mayfield Maths Coursework

    For random sampling I will number the data, which is going to be used. I am then going to pick from the sample by using random numbers, which will be generated by the calculator, using the random number button on the calculator (Ran#)

  1. Data Handling Maths Coursework

    If I was to use random sampling straight away, without taking a stratified sample, I may not obtain very fair results; for instance, I could end up with 50 girls from a key stage but only 20 boys. A sample is necessary as it is not feasible to study all the data from the 1183 pupils that attend Mayfield.

  2. My hypothesis is that the Maths and Science results will be related because I ...

    M < 90 1 85 1 � 85 85 90? M <100 0 95 0 � 95 0 Year 8 Science Results Marks Tally Frequency Middle Value Working Total 30? M < 40 0 35 0 � 35 0 40? M < 50 4 45 4 � 45 180 50?

  1. Investigation in to types of criminal offences in a sample of Jamaicans in Portmore.

    Hence, the findings should be accepted with caution. > It was very difficulty to find persons who were victims of crime. > Many persons only consider serious offences such as shootings as crime. > Many persons could not spare the time to complete the questionnaires. > It was difficult to condense the data into a report of one thousand words.

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

    Analysis To start with, I will analyse the first table of data, where the data is not gender-specific. Before I show you my analysis, I will just mention that I have left out the zero values as I feel that these may be further evidence of inaccuracies within the database;

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