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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 – Statisticsimage00.pngimage00.png

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.

...read more.

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)

image05.png

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.

image03.pngimage03.png

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

...read more.

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.

image11.png

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!!

...read more.

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