Maths Handling Data Coursework HypothesisMy hypothesis is: Is intelligence related to exam results? To do this I can investigate the relationship between IQ and Key Stage 2 results

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Alysa Emery

Maths Handling Data Coursework

Hypothesis

My hypothesis is: Is intelligence related to exam results?  To do this I can investigate the relationship between IQ and Key Stage 2 results.

 There should be positive correlation in the graph as above average Key Stage 2 results suggest a student should have a high IQ.

  I can extend this investigation by see if there is a relationship between Sex and IQ/KS2 results.

Plan

 To do my investigation I will need to collect the IQ and exam results from the Mayfield school data. I will use a sample size of 60, because it is a large enough number for a decent investigation, but not too large that I have too many people to work with. It will be fair as I will use 30 boys and 30 girls, and I am using a stratified sample so I can get the right number of people from each year and my sample is not biased.

 

This table shows how my stratified sample worked and how many people I am going to take from each year.

 I am going to take my sample, and then I am going to first look at the IQ. I will draw a histogram as the data is continuous. This will help me to find out the median. I will also find out the mean, the modal class interval, and the inter-quartile range. These will be useful when I draw a box and whisker diagram as it will provide a very clear comparison of the different measures of spread. I will not find out the mode as my data is continuous and it makes more sense to find out the modal class interval. I can then make comments about the IQ’s of the students in my sample of Mayfield School.

 I am then going to look at the Key Stage 2 exam results. I am going to look at the averages of the Key Stage 2 results to 1 decimal place. I will draw another histogram to look at the results. I will find out the mean, the modal class interval and the inter-quartile range again. I will draw another box and whisker diagram as my data is continuous again. I can then discuss the Key Stage 2 results of my sample of students at Mayfield School.

 I will finally compare my data on a scatter diagram with a line of best fit and I will summarize my results, and analyze my data. I will make my final conclusions and talk about my hypothesis, and see if there are anyways in which I could improve or lengthen my investigation.

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 I will use the following tables and graphs to help me in the analysis of my investigation:

 They will help me to judge whether levels or IQs are average, above average or below average and this will help with my analysis of medians and modes.

IQ Results

I am going to look at the IQ results individually to determine what the school’s average IQ is. If IQ is related to exam results, it should tell me what kind of results the school has.  

The average IQ of everybody is 100. This ...

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