• 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
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  • Level: GCSE
  • Subject: Maths
  • Word count: 1475

Mayfield High School Coursework2

Extracts from this document...


Maths Coursework:

Data Handling Project


Anusha Balapaskaran



I am going to use the secondary data, provided by Mayfield High School, for my investigation.  There is various data provided on each student:-

  • name
  • age
  • gender
  • year group
  • IQ
  • weight
  • height
  • hair and eye colour
  • distanced travelled between home and school and the usual method of travel
  • number of siblings
  • key stage 2 results

I shall make three hypotheses, related to the data provided by Mayfield High School.  I will collect a suitable amount of data and then carry out statistical calculations on my sample of data, drawing relevant graphs.  I shall then analyse the data in my sample and the graphs, stating whether it supported my hypothesis.  


Hypothesis 1:-

The taller the person, the heavier they are.

This hypothesis compares two different variables, the relationship between height and weight.  It states, the greater the height of the person, the greater the weight of the person.  I will stratify the data that I need, and then use random sampling to collect a suitable amount of data.  I will represent my results clearly, in a table for heights and weights, and I shall carry out any relevant calculations, such as the different averages (mean, mode, median, and range).

...read more.


Girls have a higher IQ than boys.

Frequency Polygon of boys’ IQ


Histogram of boys’ IQ


Histogram of boys’ IQ


Frequency Polygon of girls’ IQ


Histogram of girls’ IQ



Hypothesis 3:-

Year 10 boys are taller than year 7 boys.

Histogram of year 7 boys’ heights

Height (cm)


Frequency Density

140 ≤ x < 145



145 ≤ x < 150



150 ≤ x < 155



155 ≤ x < 160



160 ≤ x < 162



162 ≤ x < 165



165 ≤ x < 170



170 ≤ x < 175




Cumulative Frequency Graph of year 7 boys’ heights


...read more.


I did two cumulative frequency graphs fro year 7 and 10 boys’ heights.  The cumulative frequency graphs show the median for both, and the results are the same as the ones from the histogram.  

To present my results more clearly, I compared the two cumulative frequency graphs together.  

To follow up on this, I did two separate box plots for each year group.  The results show the minimum and maximum values, the median, and the upper and lower quartiles.  

The Line Graph, for Hypothesis 3

(On page 17)

The line graph shows the mean of both boys in year 7 and year 10 heights.  

It shows us, that from the data I picked, boys in year 10 generally have a higher average height than boys in year 7.  This graph is a clear and effective one, supporting my third hypothesis well.  


I can see that I have achieved fairly accurate results, in the first, second, and third hypothesis.  

However, more evidence may have given me more even more reliable results.  The raw data that I was given from Mayfield High School had many missing measurements and a few mistakes included in it, which may have affected results.  

If I had collected the data myself, I could have corrected any faults and ensured reliability.  

Applying these improvements to my investigation could improve the reliability.  

Overall, I feel that I collected a sufficient amount of sample data, and my results support my three hypotheses.  

...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 high statistics coursework

    > There is a positive correlation between height and weight. In general tall people will weigh more than smaller people. > There therefore is a positive correlation between height and weight across the school as a whole. This correlation seems to be stronger when separate genders are considered > If

  2. A hypothesis is the outline of the idea/ideas which I will be testing and ...

    hypothesis: * FIRSTLY I WILL FIND TO SIMILAR STUDENT WHO ARE SIMILAR IN CHARACTERISITICS AND PERSONALITY * BELOW IS THE DATA THAT I WILL BE USING: Surname Forename Gender Left or Right Handed? IQ SATS Results Matthew David Male Left 102 4 4 4 Smith Amrit Male Right 100 4

  1. Mayfield. HYPOTHESIS 1: Boys at Mayfield School are Taller and Weigh more on ...

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

    I feel this will give me information on how much change occurs in five years. I will be doing standard deviation to find out whether how much the deviation of height and weight from the mean changes as you progress from year 7 to year 11.

  1. Mayfield High Coursework

    25 60?w<70 9 65 140 17 289 1156 29 70?w<80 3 75 75 27 729 729 30 80?w<90 1 85 0 37 1369 0 30 Totals: 30 1440 Range: Range of weight = highest weight - lowest weight The lowest weight sampled is 33kg. The highest weight sampled is 72kg.

  2. Maths Data Handling

    The results that I will gain will be very reliable as standard deviation makes use of all the values. The lower the value of standard deviation, the closer most of the data is to the mean and so the results are reliable.

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

    The boy's data is much more distributed and the Interquartile range is bigger than the girls. All of this is due to some of the boys in the year group going through puberty and therefore their growth rate is, at this time, much faster than the girls.

  2. mayfield high school handling data coursework

    lower quartile=45 median=49 upper quartile=54 range=66-30=36 key stage 3 boys height 1.2 0 1.3 0 1.4 2,3,5,6,7,8,8,9 1.5 0,0,0,1,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,7,9,9 1.6 0,0,0,0,0,1,2,3,3,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,8,9,9 1.7 0,0,1,2,2,2,3,3,3,4,4,5,5 1.8 0,0,3 mean=1.6 lower quartile=1.52 median=1.6 upper quartile=1.66 range=1.83-1.2=0.63 key stage 3 boys weight 3 2,5,5,5,7,8,8,8,8,8 4 0,0,0,0,0,0,1,1,1,2,2,2,3,3,3,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,7,8,8 5 0,0,0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,4,4,4,4,5,5,6,6,6,7,7,9 6 0,0,0,0,0,0,2,5,5,5,7,8,9,9 7 0 mean=49.60674=49.6(3 sig fig)

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