Statistics

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Statistics

Hypotheses

1. The higher the IQ, the higher the average SATs results. There will

be a stronger relationship between the girls’ IQ and SATs results than

the boys’.

2. Boys will have a higher IQ than girls.

3. IQ will increase as age increases.

Plan

I have been given two sheets of containing 100 pieces of data on each.

The data is secondary as I have not collected it myself. One set is

from key stage three and the other from key stage four. The data

includes year group, forename, age, gender, hair colour, eye colour,

favourite type of music, IQ, height, weight, distance between home and

school and SATs results.

I will use a sample of 80 students, because 200 is too time consuming.

A sample of 80 will still give me a reliable answer. I will use a

stratified sample so my sample is in proportion as the full set of

data.

To do the stratified sample I am going to count how many year seven,

eight, nine, ten and eleven students there are on the sheets of data.

I will then divide the total number of year seven students by the

total number of pupils, then times by 80. I will repeat this for the

remaining year groups to complete my stratified sample.

Once I know the amount of students from all the different year groups

I will use a calculator to generate random numbers for my data.

Hypothesis 1

The higher the IQ, the higher the average SATs results. There will be

a stronger relationship between the girls’ IQ and average SATs results

than the boys’.

To prove my first hypothesis I am going to plot IQ against the average

SATs results on a scatter graph. I am doing this to see any

correlati...

... middle of paper ...

...rger than the others. The

highest value is between the two highest values for year eight and

nine.

As I mentioned earlier the values in the year eleven boxplot are

larger. The LQ is about the same as all the other medians, the median

is higher than most of the other upper quartiles and the UQ is larger

than all the others. The highest value is 125, this is the higher than

all the others by at least 4.

Evaluation

Generally, my coursework went quite easily. I didn’t encounter any

problems apart from entering data in to a graphical calculator. I had

to repeat this process a number of times due to missing out data.

If I were to repeat the coursework I would use a larger sample size or

compare data from different schools to make sure my results are

correct for the country or just a few schools in particular.