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  • Level: GCSE
  • Subject: Maths
  • Word count: 3245

Handling data.

Extracts from this document...

Introduction

Fezan Shakir        10HM

Handling Data

Coursework

By Fezan Shakir

Introduction

I plan to look at mental and physical differences between the boys and girls in Year 7 to Year 11. I will look at the physical differences by looking at their height and weight. I will look at the boys and girls mental differences by observing their IQ results. Hopefully I will look at the heights of year 7 and year 11 boys and girls. Also I will compare the IQ results for boys and girls from year 7 – 11. Then finally I will look at the relationships between weight and height for year 11 boys and girls.

Prediction

I predict that the girls in year 7 will be taller than the boys in year 7 because I think that girls have a growth spurt earlier than boys but usually stop growing in height when they are about 15 – 17 years old. But in year 11 I expect that the boys will be much taller than the girls because the boys usually have a growth spurt after year 7 and carry on growing until they are 18 – 21 years old. Girls usually stop growing along time before the boys.

        I’m expecting that the girls will have higher IQ results because last years GCSE results showed that the girls had a higher average than the boys.

        I reckon that the boys will be taller and heavier in year 11 because boys carry on growing much after when

...read more.

Middle

Systematic sampling

Year 7: 131/23 = 5.69 Therefore choose every 6th pupil.

Year 8: 125/22 =5.68 Therefore choose every 6th pupil.

Year 9: 143/24 = 5.95 Therefore choose every 6th pupil.

Year 10: 94/16 = 5.87 Therefore choose every 6th pupil.

Year 11: 86/15 = 5.73 Therefore choose every 6th pupil.

Grouped Frequency Tables

I have put my results in a grouped frequency distribution table to condense the amount of information I have taken.

Boys Year 7 –11

IQ Mark

Tally

Frequency

Cumulative Frequency

71 – 80

2

2

81 – 90

8

10

91 – 100

31

41

101 – 110

42

83

111 – 120

14

97

121 – 130

2

99

131 – 140

1

100

141 - 150

0

100

Girls Year 7 – 11

IQ Mark

Tally

Frequency

Cumulative Frequency

71 – 80

3

3

81 – 90

4

7

91 – 100

31

38

101 – 110

49

87

111 – 120

11

98

121 – 130

2

100

131 – 140

0

100

141 - 150

0

100

When I was systematically sampling when I reached the end of the sheet I started again but 1 lower than last time until I reached the desired amount.

IQ Results from Year 7 to 11

Boys and Girls

BOYS

Lower Quartile = 95

Median = 101

Upper Quartile = 108

Inter-Quartile range = UQ-LQ = 108-95 = 13

The 10th percentile (Bottom 10%) = 90

The 90th percentile (Top 10%) = 114

Girls

Lower Quartile = 97

Median = 102

Upper Quartile = 106

Inter-Quartile range = 106-97 = 9

The 10th percentile (bottom 10%) = 92

The 90th percentile (top 10%) = 113

Comments:

The girls had a higher Lower Quartile meaning the girls lower results weren’t as low as the boys. The girls had a higher average that the boys but the boys had higher top results.

Box Plot:

I have chosen to show my results in a box plot because it is easy to understand and you only need a quick glance to understand it. This is because if it lies to the right it has higher results and it also shows you the minimum value, Lower Quartile, median, Upper Quartile and maximum value all in just one simple diagram.

Comments:

The range for the boys = 81 – 140 and the girls = 80 – 130.

...read more.

Conclusion

        The height and weight results for the year 11 boys and girls showed us the following:

  • The boys had higher weights.
  • The boys were taller
  • The girls had a strong positive correlation whereas the boys had a weak positive correlation.
  • The boys had many outliers whilst the girls had a few outliers.
  • The girls had most of their heights in the 150 – 180cm mark and their weights in the 40 – 60 kg region.
  • The boys had their bulk of heights in the 150 – 190cm region and their weights in the 45 – 75 kg area.
  • Also in both graphs it showed us that the taller a person was the higher the persons weight would be.

These results supported my prediction because the boys and higher weights and bigger heights that the girls and the shorter a person was, the lower the persons weight.

Evaluation

I am quite pleased with my overall of results but I would have liked to improve my results by:

  1. Having bigger samples wou7ld make my results even more accurate.
  2. I could of chosen more than one school to get better results because the more different types of people you have the more accurate your results will be.
  3. Maybe I could have changed the variables. For example: Eye colour, Hair colour and a persons favourite television program.

...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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