## Vital Statistics for Graph 1

## Number of points, n: 74

## Mean, x: 18.22

## Mean, y: 101.3

## Standard Deviation, x: 12.77

## Standard Deviation, y: 9.97

## y-on-x Regression Line: y=0.04136x+100.5

## Straight Line: y=0.04136x+100.5

## Analysis of Graph one

IQ of boys and girls in comparison to the hours of television they watch.

I constructed a graph using the sampled data, which I collected. It shows the IQ of boys and girls in both year 11 and 10 in comparison to the hours of television they watch per week. By inserting a line of best fit I was able to see that there was neither any positive or negative correlation on the graph. The line has no significant increase or decrease. This tells me that there is no relationship between the IQ of a student and the number of hours of television they watch.

This disagrees with my hypothesis and what I expected. After further research I found out that a persons IQ is not influenced by the environment or circumstance and the amount of studying they do. IQ is not improved or reduced it may seem by the amount of time the person spends actively using their brain, which is what I first thought.

I originally after seeing the way my graph turned out thought that I could next investigate whether students who watch what my parents refer to as “rubbish” on TV do worse than those who watch intellectual and educating programs. However it then occurred to me that I would have to decide myself which programs were educational and which ones was not, this would be an unfair test as it would be relying on my opinion and judgement, not facts.

I am now however going to look at the affect television has on IQ, but this time will separate the data am going to use so that the graph shows the IQ of the boys and girls separately. By doing this I may notice a correlation, which may not have been obvious in my mixed sex graph.

A graph to show the IQ of boys compared to girls in contrast to the hours of television they watch

To construct this graph I had to use the IQ of the students in comparison to the number of hours of television they watch. I chose to plot this data on a scatter graph because it allows me to insert a line of best fit, which illustrates clearly any trends in the data. I separated the boys and girls data for this graph because I wanted to make a comparison between their IQ’s in contrast to the hours of TV they watch.

## Vital statistics.

Number of points, n: 35

Mean, x: 19.94

Mean, y: 101.2

Standard Deviation, x: 13.09

Standard Deviation, y: 7.512

y-on-x Regression Line: y=-0.004276x+101.3

Straight Line: y=-0.004276x+101.3

Number of points, n: 39

Mean, x: 16.67

Mean, y: 101.4

Standard Deviation, x: 12.27

Standard Deviation, y: 11.74

y-on-x Regression Line: y=0.09184x+99.88

## Analysis of Graph Two

The IQ of the separate sexes in comparison to the number of hours of television watched

I produced a graph on which I plotted both the IQ of girls in comparison to the hours of TV they watch and the IQ of boys. This enabled me to insert a line of best fit for each sex so that I could make a comparison. This graph proved to be most interesting because although the line of best fit for the girls remained constant the line of best fit for the boys had a slight positive correlation, in that as the hours of TV they watched increased so did their IQ’s. . I do not personally however believe that the gradient of the line was extreme enough to warrant me saying that boys IQ’s are affected in a positive way by watching television. I believe that the line shows a small degree of positive correlation because it just so happens that a small number of the boys who have high IQ’s watch television frequently, rather than because boys who watch more television genuinely do tend to have higher IQ’s.

From the vital statistics I can see that the boys watch on average 19.94 hours of television per week, which is a considerable amount more than the girls 16.67 hours. Despite this there is not a significant difference in the IQ’s of the boys and girls. I do not personally however believe that the gradient of the line was extreme enough to warrant me saying that boys IQ’s are affected in a positive way by watching television. I believe that the line shows a small degree of positive correlation because it just so happens that a small number of the boys who have high IQ’s watch television frequently, rather than because boys who watch more television genuinely do tend to have higher IQ’s.

I have discovered now that IQ is not affected by the amount of television you watch as I predicted it would be. However I believe that a persons IQ will have an affect on how well they do in their exams seeing as IQ is a measure of intelligence. I am going to investigate this theory further.

Hypothesis.

I predict that the IQ of a person will directly influence the grades that they can achieve in their exams. I believe this because your IQ is a measure of your intelligence, so therefore people with higher IQ’s surely are the more intelligent ones. Albert Einstein for example had an extraordinarily high IQ and is still today considered one of the most outstanding intellects to have lived.

I am now going to proceed to test this theory by constructing a graph, which will show me the IQ of the students in comparison to the three separate marks they achieved in their exams for English, Maths and Science.

Graphs to show the results achieved for English, Maths and Science in comparison to the students IQ

Results achieved in English compared to IQ

To construct the following graphs I had to use the exam results the students achieved and their IQ’s. I decided to plot these values on scatter graphs because this allowed me to insert a line of best fit, which illustrates any trends, which may otherwise be difficult to see.

Results achieved in English in comparison to IQ

Results achieved in maths compared to IQ

## Results achieved in science compared to IQ

## Analysis Of graph 3

The results achieved for English, Maths and Science in comparison to the students IQ.

It is clear from the graph that as I predicted the IQ of a student does affect the results that they achieve in their exams. The above graphs show a definite positive correlation and clear trend, in that as the IQ of the students increases so does their exam results. By looking at the gradient of the graphs I can tell that IQ seems to have more of an effect on maths grades than it does on any other, it appears that if you have a high IQ then it is increasingly likely that you will do well in maths. I am very pleased that the graph agrees with and backs up what I said in my hypothesis, it is obvious that IQ does affects intellect.

Hypothesis.

I have investigated whether IQ is affected by the hours of television a person watches, I have investigated whether IQ affects how well a student does in their exams. However throughout my investigation I have been using IQ’s as my data taken from both boys and girls and never yet thought to discover whether there is a trend between someone’s sex and their IQ. It is now safe for me to say that people with higher IQ’s are more likely to achieve better exam results, following my previous investigation. So now I intend to find out which sex has the higher IQ so is more likely to achieve higher results in exams.

A graph to show the IQ of girls in comparison to boys

To construct this graph I used the IQ’s of both boys and girls in year 10 and 11, I decided to use a cumulative frequency graph with box and whisker diagrams because it makes it easier to make a comparison and see the differences between the two groups.

Analysis of Graph 4

I discovered from my graph that the mean IQ for the boys is 100.6, and the mean IQ for the girls is 100.1. So technically the boys have a higher average IQ than the girls, but only by an infinitesimal proportion. The boys I noticed have a larger inter quartile range than the girls, and in their category have the people with both the highest and lowest IQ. The girls however have a small inter quartile range. So although the boys on average have a slightly larger mean for IQ than the girls, the girls on the whole have less people within their group falling short of the national average IQ which is 100.

Conclusion

I am very pleased with how my investigation went. Although not all of my hypotheses were right I feel that I gathered and collected the data efficiently. What I discovered from my investigation is that the amount of television you watch does not directly influence your IQ, however your IQ does influence how well you do in exams, the trend being the higher your IQ the higher the exam results you achieve. I also discovered that there is no significant difference in IQ between boys and girls, the mean IQ for both sexes is basically the same.