Investigate how the estimation of lines and angles differ from one another, as well as how they vary between genders.

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                Estimation – Coursework

                GCSE Mathematics 2002/03

                                                                     Estimation Investigation

Introduction: - The knowledge upon the measurement of lengths and angles has become more widespread with the coming of better education. However, the skill that is required to estimate these units is affected by several factors. For my investigation, I will explore and examine the factors of gender and units. I have chosen survey Year 10 students, both male and female, upon the estimation of the length of a line and the size of an angle. These have been selected, as both measurements are continuous data, which can take any possible value, which requires a certain level of skill to determine.

I will get thirty students to fill a questionnaire, asking fifteen male and female students. All three mathematics classes will be asked within correct proportions to relative size. The survey will simply ask the subject to estimate the length of a line and the gradient of an angle. See Fig 1.

Specifications: -

Aim: To investigate how the estimation of lines and angles differ from one another, as well as how they vary between genders.

Hypothesis i  The estimation of the line will be more accurate than the estimation of the angle. This is because the awareness of lengths is more common than the awareness of angles and gradient within everyday life.

Hypothesis ii. The female angle estimation will be more closely populated to the correct answer than the male estimations. This is indicated through the female measure of spread of the estimations, being grouped closer to the actual answer than the male estimations.

Data collection: To deduce whether my hypothesises are correct, the following information must be known:

For Hypothesis i: - The average of the line estimations

- The average of the angle estimations

For Hypothesis ii: -The standard deviation figures of male angle estimation.

                       - The standard deviation figures of female angle estimation.

I will be using the measure of spread for Hypothesis i, thus the data must be grouped for the cumulative frequency. As there will be so few results, there will be no need to group the data for Hypothesis ii.

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With so few results, a single result of useless data may alter my outcomes significantly. Because of this, I will be forced to make sure the correct information type is written on the questionnaire. I will place myself next to each of the surveyed while they fill out their details and information to ensure that non-responsive data is not entered. If anything is left out, I will be able to contact the person again, as I will have their name and class.

Bias:  To subconsciously influence the outcome of results through wording or through sampling is bias, and it ...

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