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• Level: GCSE
• Subject: Maths
• Word count: 2184

The relationship between IQ and Key Stage 2 results

Extracts from this document...

Introduction

The relationship between IQ and Key Stage 2 results

The aim:

To compare the KS2 results with the IQ’s to identify whether IQ will determine their results.

Hypothesis:

There are many different lines of enquiry, such as:

• The variations in hair colour
• The variations in eye colour
• The relationship between hair and eye colour
• Shoe sizes
• The distance travelled to school
• The relationship between shoe size and height
• The relationship between height and weight
• The relationship between Key Stage 2 and/or 3 results
• The relationship between IQ and Key Stage results
• The height to weight ratio in terms of body mass index

I have chosen to investigate the relationship between IQ and Key Stage results. I believe that the higher the IQ, the higher the KS2 results. This is because IQ measures how intelligent a person is and key stage results reflect knowledge and retaining of information. I will try and prove this by comparing the average KS2 results, years 7 to 9, to their IQ’s.

The Data:

I have collected some secondary data, and from it I must take a random sample of the information I need. I will do this by using my calculator. I have given each page a number, and then the names on that page also have numbers. I will then press ‘shift’ and then ‘RAN#’ on my calculator, and it will display a number between 0 and 1.

Middle

4

4

110

5

5

5

5

103

4

4

5

4.3

98

3

4

4

3.7

103

4

4

5

4.7

100

4

4

4

4

110

5

5

5

5

101

4

4

4

4

100

5

4

3

4

114

5

5

5

5

101

4

4

4

4

109

5

5

5

5

102

4

4

5

4.3

107

4

5

5

4.7

110

5

5

5

5

78

3

3

3

3

113

5

5

5

5

97

4

4

4

4

96

3

3

4

3.3

104

4

5

5

4.7

103

3

4

4

3.7

98

4

4

4

4

99

4

4

4

4

Data for each pupil was provided, such as name, age, year group, IQ, height, hair colour, eye colour, number of siblings, KS2 results, distance travelled between home and school, and gender. I have used gender, IQ, and KS2 results. From this I have drawn three scatter graphs.

Graph A: the results of both boys and girls

I predict that graph A will show positive, and relatively strong correlation. This shows that the higher the IQ, the higher the KS2 result and the lower the IQ, the lower the KS2 result.

Graph A shows relatively strong, and positive correlation. This suggests that the higher the IQ, the higher the KS2 results. The KS2 results range from 3 to 5 and are evenly spread. However, because there are only a few possible Key Stage results, of which the most you can get 3 separate results.

Conclusion

The scatter graphs can be used to give reasonable predictions of KS2 results and IQ by either reading from the graph or using y=mx+c

Cumulative frequency curves confirm that when girls have an IQ above 97, they are more intelligent than boys. When they have an IQ that is below 97, they are not as intelligent as boys.

The median for the girls is higher than that of the boys.

From the box and whisker plots I can conclude that girls are more intelligent than boys, and can be used to estimate that6.75% more girls achieve level 5 than boys.

My analysis would have been more accurate had I have taken larger samples, and specified the years in which the students were in, using separate graphs for each year and gender.

My predictions are based on general lines of best fit and do not take into account the exceptional points.

A sample of 40 students was taken, 20 boys and 20 girls, and I have found that IQ and Key Stage 2 results do have a relationship and that the higher the IQ, the higher the result. Also, that, girls are more intelligent than boys at a higher IQ, but are less intelligent than boys at a lower IQ.

If I carried on researching into this, factors I would compare are: Age, Gender, Race, Social background, Amount of days absent, Parents IQ, Single parents, and Siblings

The factor that dominated was gender and I took this into account when investigating.

This student written piece of work is one of many that can be found in our GCSE IQ Correlation section.

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