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# &quot;Does wearing glasses have an effect on the pupils math's ability?&quot;

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Introduction

Does wearing glasses have an effect on the pupils math’s ability?

The saying goes that people who wear glasses “look more intelligent” but are they really cleverer than people who don’t wear glasses. I am going to investigate whether pupils who wear glasses have higher maths ability. I will explore this by comparing each set of math’s results with whether the pupils wear glasses or not.

From the population of 239 yr 10 pupils I am going to take my sample of 80. This is a sufficient size sample to analyse but not too much to sort and handle. There will therefore be enough data to compile graphs and to compare whether pupils who wear glasses get better marks in math’s exams.

In this investigation I am going to use stratified sampling because it allows you to use the same proportions in your sample as there is in the entire population of data your sample is taken from. This will make my sample unbiased and fair and will give me more exact and precise results.

To find these proportions I must find the total number of pupils who are male and female from the overall population.

Middle

To take my sample I will roll a dice. The number it lands on is the data number I start on. I will continue to roll the dice and pick the sample in this way. I will stop when I get to the correct number of data I need for my sample. To make it easier for me I have sorted the data in a spreadsheet so they are separated by gender and then whether they wear glasses or not.

The range of my data for year 8 math’s exam results is: 281-67=214

The range of my data for year 9 math’s exam results is: 121-29=92

To find the model groups I found the most common test mark and which group it fitted in.

Model groups for yr 8 math’s exam results from pupils who wear glasses                =212<m<235

Model groups for yr 8 math’s exam results from pupils who don’t wear glasses        =69<m<92

Model groups for yr 9 math’s exam results from pupils who wear glasses                =236<m<259

Model groups for yr 9 math’s exam results from pupils who don’t wear glasses        =69<m<82

Conclusion

Overall the data doesn’t show a clear pattern. Only when the data for year 8 and 9 are combined does the problem begin to be resolved. My calculations and finding show that wearing glasses does effect your math’s ability but this is only true for one year group in one school. this evidence doesn’t prove this point, it only gives you an idea about what the whole population may be like. It doesn’t prove the theory for the whole country or world.

I believe that my way of taking my sample was unbiased and effective. I had a true accurate figure of pupils in the same proportions as the total population of a year group. If I were to retake my sample I would rid of the anomalies before taking the sample because sometimes as you go through you miss out and then have to change it. I would also sort the data more thoroughly before taking my sample, as it was difficult to relate back to it when finding averages and doing other calculations.

Overall my investigation into glasses has shown that glasses can make a slight difference to a pupil’s math’s ability.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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