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• Level: GCSE
• Subject: Maths
• Word count: 1949

# In this project I am going to prove that the results of boys are above the results of girls, as they have relatively small brains!

Extracts from this document...

Introduction

Maths Coursework – Statistics

Introduction

In this project I am going to prove that the results of boys are above the results of girls, as they have relatively small brains! I will do this by comparing statistics (which were taken from the website www.bstubbs.co.uk) for the following categories:

• Section 1 – Percentage pass rate for boys and girls in several subjects.
• Section 2 – The mean of my chosen subjects over several years, of al the subjects over allocated years and the mean of boys and girls over allocated years.

l

• Section 3 - Comparing the averages of G.C.S.E subjects throughout these years with and without a so called ‘odd’ subject such as Greek.
• Section 4 - Averages for boys against girls for A-levels but with the use of the same subjects chosen for G.S.C.E. I will use 1999 GCSE’s and  2001 A-Level’s, as these are the same pupils
• Final conclusion- Can I describe the average student??

[Note: More may be added as I progress throughout the project.]

I will use various types of averages including means, medians, ranges and standard deviation (which were just recently studied). I will also try to vary the types of graphs being used i.e. histograms, bar graphs, line graphs and box plots.

Middle

Overall Average - all subjects (see data sheet)

Lowest Value

56.4

47.9

51.5

Lower Quartile

56.475

48.75

52.85

Median

58

49.7

54.4

Upper Quartile

59.075

50.95

56

Highest Value

60

52.8

57.1

I can now draw three box plots with the use of these results. (Overleaf)

On the graph there were no results for science in 1996 and 1997 so this affected my average slightly. Greek has exceeded the average line immensely and looks completely odd compared to all the other subjects. English just manages to skim above the line but in 1996 and 1997 it dips slightly below. Where as Maths, Science, French and H. E are below average for all the years, with H.E dropping the most. These subjects have neither a positive or negative correlation. On average the subjects seem to keep to a straight line throughout all of the years.

By comparing the three box plots, I can see that the results without Greek are closer to the national average than the results with Greek. Also as the boxes of the subjects without Greek are fairly similar to the results of all subjects, this shows that the results are consistent.

Section 3

I have drawn these tables below to help me analyse my results:

 Years Average with Greek 1993 56.4 1994 56.4 1995 56.7 1996 58.3 1997 59.0 1998 57.6 1999 58.0 2000 59.1 2001 60.0
 Years Average without Greek Years Moving Average Median Moving Median 1993 47.9 46.2 1994 48.9 93-96 48.8 46.9 47.9 1995 48.7 94-97 46.7 47.3 49.1 1996 49.6 95-98 46.9 51.0 49.5 1997 49.7 96-99 47.5 51.2 50.1 1998 49.9 97-00 48.0 48.6 49.9 1999 50.6 98-01 51.3 49.4 50.0 2000 52.0 50.4 2001 52.8 51.3

Example, How calculate the moving average….

e.g. 48.8

Conclusion

The box plots show that the results of boys and girls are less varied at A-level – the box is smaller – where as at GCSE there is a wide variation. The diagrams also clearly show that the gap between the sexes has closed – the box has moved across with no overlap.

Final conclusion

In my initial hypothesis I said that ‘I am going to prove that the results of boys are above the results of girls’ sadly I have had no luck.

The only section where I have come close to proving this is at A-Level (section 4) and this is only in certain subjects. Hence, my initial hypothesis is incorrect and a better hypothesis would have been that girls are above boys in the core subjects such as Maths, English, Science and loads more, but boys are above girls in options such as French, History and Business Studies.

Therefore from these results I can conclude in saying (with only shame) that the average girl is better then the average boy!!

Overall, I can clearly see that the average student is improving every year, so let’s hope that by 2100 every one will be a genius!!

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

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