• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  • Level: GCSE
  • Subject: Maths
  • Word count: 1731


Extracts from this document...


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. ...read more.


The equation is y = mx + c. To find the gradient this could also be shown as: y y1 m = x1 y1 x1 c > Minimizing bias - throughout the coursework, problems will arise regarding being bias. This means in some cases I may favour someone else or be unfair. This is not good because it affects my results. For example I may choose more girls than boys or more year 11 than year 7. This can be avoided by using different kinds of sampling, which suits the situation. This way my results will remain fair. > Mean of deviations from the mean - this is another measure of spread. This again provides evidence for comparison. From this you can work out the how far away a height is from the average. Height - mean height = deviation Although if you wish to work out the mean of the deviations, you must work all the deviations out then use this equation: ?|x - x| = Mean of deviations n When working this out you ignore the negative values a deviation may have. After the calculations are made you can compare various types of data found out. ...read more.


I will now work out the mode. 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 position 2 Which is 1.70m From my results the median weight is: 6008 + 1 = 3004.5th position 2 Which is 85kg From my results the height average is: 192.52 Mean = 118 = 1.632m The average weight is: 6008 Mean = 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 = 118 = 12.73cm The mean deviation for weight is: 1088.720 Mean deviation = 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. ...read more.

The above preview is unformatted text

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 high statistics coursework

    Scatter Diagram I will now produce a Scatter Graph which shows the Height vs Weight for all the Boys and girls data that I have collected and I will be able to find whether there is a pure correlation and I will then compare my results and I will see

  2. Statistics coursework Edexcell

    Evaluation Through out this investigation boys seem to higher vales in weight and height compared to girls. But the Girls seem to have a smaller year nines compared to year eights and year seven girls have a higher range compared to the year nine girls (box and whisker diagram).

  1. Mayfield High School Maths coursework

    98 3 44 96 71-80 1 52 100 2 46 100 total 52 46 Range Boys Boys Cumulative Girls Girls Cumulative To Nos. Cumulative %age Nos. Cumulative %age 40 5 5 12 6 6 12 50 18 23 55 20 26 51 60 11 34 81 21 47 92 70

  2. Mayfield High Coursework

    Then I used my calculator to press "RAN#" multiplied by the total number of people in a group, and rounded the number to the nearest whole number, e.g. RAN# x 58 = 13.166 � 13, therefore I choose pupil number 13, who is Jennifer Dodman, for sampling in my group

  1. Statistic Coursework

    We can see from these charts that although the difference between sample size was very small, the data in almost completely opposite, showing diversity. I also drew cumulative frequency diagrams to show the gender separation on both logical and creative subjects.

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

    The points on this scatter graph for year 9 are much more spread out therefore this back up my hypothesis as the graph shows that people that are watching more television are weighing a lot more. I feel that this is because Year 9 is the time when students tend

  1. Statistics Coursework

    * The lower and upper quartiles of the male data are closer to the median than their respective female counterparts. We can interpret from this that the data for the males is more consistent than that of the females - increasing the reliability.

  2. mayfield high school handling data coursework

    Louise Female 1.57 52 0.955559 9 Smith Anjelina Louise Female 1.50 45 0.237219 9 Lemane Kirstie Victoria Female 1.5 54 0.895087 9 Hall Stephanie Louise Female 1.6 42 0.258686 9 Yates Christine Anne Female 1.64 42 0.433011 9 Gordon Cicila Ruby Female 1.7 47 0.488641 9 Austin Steve Male 1.80

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