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Maths Coursework Introduction

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In this experiment, I will be investigating the relation between peoples estimating ability compared to their Midyis score. I am investigating this because I want to see if a person’s Midyis score is high, will there estimating ability be higher than others who have a lower Midyis score. I will carry out this investigation by comparing the accuracy of estimating year 8 students.


I will be collecting data from a total population of 56 year 8 students. I have chosen to collect data from 56 pupils because it is not too large or to small and it can give me an accurate result to what I am investigating. By using a total population of 56 people I will be able to clearly see the differences and similarities between pupils Midyis scores and their estimating ability. Each pupil will be given 2 strips of paper which will have a line measured 15 cm long where they can draw there estimation. On the first paper they will estimate how far down the line is 8 cm and on the second paper they will estimate how far 14 cm is.

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Presentation of Data:

I will be presenting my data in the following methods:  

  • I will use a scatter graph to see the difference between the pupil’s estimation and their Midyis score
  • I will use a cumulative frequency graph so I can find out the median and the quartiles of each set of data
  • I will use a box and whisker diagram to see the difference between the lowest value and the highest estimation.
  • I will use a histogram average estimation against the frequency density to show distribution of the data.


  • As the Midyis score increases the accuracy of the estimation will increase.
  • Male’s estimations are more accurate than females.                    

Description of Data collected:

Surname, Forename, Gender and Tutor group are all unique types of data which will allow me to get the specific Midyis score for a specific pupil without having to search through all of them. The “Pupil estimation” is continuous data as they represent measurements.  The “Difference between the actual length and pupil estimation” will

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Pilot Survey

A pilot survey of a tutor group was taken. The pilot survey showed that the strip of paper with the line on it was too small and so the measurement they had to draw was coming off the line. Another problem was that students tables had rulers on them, so even when we specifically said not to use a ruler to help calculate the measurements, we are not certain that they did or didn’t use it to help them. This is not a fair result. Students may also have cheated as they were told to fold over their first strip of paper after they had estimated on them, so they couldn’t use it to help estimate the second measurement. The uncertainty was that they easily might have turned over the first strip of paper so it might have given them an edge to estimating the second measurement. By finding out these problems will help me to fix and solve them before I come to do my real survey.


  •  sc
  • *surname
  • *forename
  • *gender
  • *tutor group
  • *midyis score
  • *actual lenght of line
  • *pupil estimation
  • *and difference between actual length a

...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.

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