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  • Level: GCSE
  • Subject: Maths
  • Word count: 1679

Mayfield high data

Extracts from this document...

Introduction

 Teacher: Mr Gareth West        Poetry 2005-06        St Edmunds College

Mathematics Coursework – Mayfield High Data

Line of investigation

The relationship between IQ and key stage 2 results.

Hypotheses

  • Students' total key stage 2 results are better if their IQ is higher. – Girl’s total key stage 2 results are better if their IQ is higher. –Boy’s total key stage 2 results are better if their IQ is higher.
  • Students' key stage 2 math results are better if their IQ is higher. - Gender comparison.
  • Boys generally have higher IQs than girls.
  • Boys generally have higher key stage 2 results than girls.

Students’ total key stage 2 results are better if their IQ is higher

For this hypothesis I decided to take a random sample of 50 students from Mayfield High. These 50 students will be chosen at random using Microsoft Excel. The students that will be chosen randomly have been grouped together in one database, the years of the students range from year 7 to year 11. It will not make much difference from what year group they are in as all of the students have taken their IQ and key stage 2 tests at the same time.

After 50 random students were chose from the combined data using the formula, =RAND()

...read more.

Middle

image07.png

Graph 5 shows that girls that have a high IQ generally have good key stage 2 math results. Although some of the points seem far away from other points these outliners are not anomalous results because just because these outliners are far away form other points they are still close to the line of best fit. To avoid having these outliners I could have extended my sample so that maybe it would fit the general trend better.

Graph 6: Scatter diagram to show correlation between boys IQ and their key stage 2 math results.image08.png

Graph 6 shows that boys who have a high IQ will generally have a high key stage 2 math result. Again there are a few outliners but they are close to the line of best fit although they are far away from other points. Yet again if I extended my sample the general trend might show more clearly.

The boys and girls samples are quite equally matched so it’s hard to tell if out of graphs 5 and 6 which of the two genders performs better.

A better way of comparing the boys and girls is by using a histogram.

...read more.

Conclusion

The results suggest that the gender which has the highest total key stage 2 results is the girls. The cumulative frequency curves show that the boys curve rose more steeply form the 6-12 total key stage 2 result region. The girls curve began to rise quickly at the 12-16 key stage 2 result region, in this same region the boys curve was rising slightly slower, this suggests that the boys didn’t have as many people in this region.

The girls have a higher mean than the boys, the reason being because their key stage 2 results are not as spread out, they are rather bunched together. If you look at the boy’s box and whisker diagram there is a substantial difference in the size of their box, it’s a long way bigger than the girls. The reason for this is because the inter-quartile range for the girls was 1.92 while the boy’s inter-quartile range is 3.27.

All of the graphs suggest that girls have higher key stage 2 results than boys, therefore, my hypothesis was wrong.

Conclusion

Students' total key stage 2 results are better if their IQ is higher. – Girl’s total key stage 2 results are better if their IQ is higher. –Boy’s total key stage 2 results are better if their IQ is higher.

Thomas Rutland                Mathematics Coursework

...read more.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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