# Examining the relationships between the attributes of the pupils of Mayfield High School (IQ)

Maths Coursework: Data Handling Investigations

Tahamtan Pishgharavol

Mayfield High School

Aim

During this project I will be examining the relationships between the attributes of the pupils of Mayfield High School; all attributes are presented in the data sheet.

My aim is took produce a line of enquiry which has two or more statistics regarding the pupils which are related to each other.

An example of a possible line of enquiry could be to investigate the question “Could the average number of television hours affect the key stage results”.

Line of Enquiry

My line of enquiry is “Does an increase in IQ (intelligence quotient) mean a higher Key Stage Result (depending on what Year you are in).”

I have selected these attributes because I think they have a strong link between each other. IQ is a test of general knowledge therefore affects someone’s ability on how well they do in Key Stage exam.

Structure of investigation

1. Hypothesis
2. Collecting Unbiased Data
3. Evidence:  Graphs
• Tables
• Diagrams

4. Evaluation

1. Hypothesis

The line of enquiry I will be investigating is: “Does an increase in IQ (intelligence quotient) mean a higher Key Stage Result (depending on what Year you are in).”                                 I predicted there would be a link between the two quantities. I consider this because IQ means your general knowledge; therefore the higher figure of IQ indicates higher ability of understanding.

KS exams are based on questions in English, Maths and Science, therefore a higher IQ means, enhanced skill in understand of the subject, leading to better results in exams.

E.g. Pupil in year 7 with IQ of 87 – Average KS2 result: 3.3

Pupil in year 7 with IQ of 106 – Average KS2 result: 4.6

We can differentiate the result. As you see pupil with lower IQ achieved lower marks.

In order to efficiently manage and investigate the quantities, I will use stratified sampling to eliminate bias data.

2. Collecting Unbiased Data

I will use 3 different years to get as much information to backup my hypothesis.

I will use Stratified Sampling to take random samples of pupils from a total 713 pupils.

Random sampling is done to produce an unbiased data to examine.

NB: I will round off all answers to the nearest decimal point.

I have to calculate first how many random pupils to examine in general.

10% of 713 (0.10 × 713) equals 71.3, which to the nearest integer is 71. This outcome is too high.

5% of 713 (0.05 × 713) equals 35.65, which to the nearest integer is 36. This outcome is loo low.

There we find the median between 10 and 5, which approximately are 7.

Therefore, 7% of 713 (0.07 × 713) equals 49.91, which to the nearest integer is 50. This is a reliable result.

Second, I have to calculate how many pupils to examine within each year because ...