IQ and Key stage 3 results (maths)

Line of enquiry

I have many ideas for the line of enquiry, here are the following suggestion I had I thought of first:

• Girl’s and Boy’s IQ
• The hair colour and eye colour
• The height and weight
• The weight and height
• IQ and Key stage 3 results(to choose each one)
• The weigh and IQ
• TV watch and IQ
• Key stage 3 results and TV watched
• No. of siblings and Key stage 3 results
• No. of siblings an d IQ

Out of all of these ideas I have chosen “No. of siblings and IQ.”

I am going to investigate the relationship between “IQ and Key stage 3 results (maths).” I think that IQ would be much higher if the Key stage 3 maths result is high e.g. level five, on the other hand if the results are much lower this will affect the IQ. I have chosen this as a line of enquiry because I believe that what a person get in key stage 3 will affect the IQ. If my prediction is right then there will be a relationship between the two data’s. Firstly, I am going to do girls and boys separately.

Firstly, I am going to collect a random sample of 30 pupils (mixture of boys and girls). I would have to use a calculator to get the sample. This is what I entered in to the calculator: Shift       7(Random)        X (times)        342(that was the total I had after removing the anomalous data)         =         I would a number between 0 and 342.

        

        Range

Range of IQ =Greatest value - lowest value

Boys IQ

110 - 90 = 20

Girls IQ

119 - 90 = 29

So far…

The median will help me draw up my cumulative frequency graph; on the graph, I would have upper quartile and lower quartile.

My graph is on the next page.

P.T.O

Analysing my results

My graphs show different results, both for girls IQ and Boys IQ have a curve (s shaped).As you can see on my graph I have drawn a lower and higher quartile.

Seeing the relationship between the boys and girl’s IQ, I have concluded that the girls are cleverer than the boys from Mayfield high school.

        

Now I have to collect the results for Key stage three maths results.

Here is how I calculated the mean

So far …

Extending the investigation

Now I am going to base my coursework on finding out the year 10s from Mayfield high school are cleverer the year 11s.I have chosen this line of enquiry because I think as time goes on the education gets better. I am going to use a new random sample. Here is my sample: