Handling data.

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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

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.

I am going to draw two sets of tables in order to record my results. The tables will help me to look for patterns and would help me compare height and weight value between girls and boys. Finally, I would be drawing two scatter graphs.

is the majority that are taller, it means that boys of their age are generally tall. Girls - Height Height (cm) Frequency 140?h<150 5 150?h<160 9 160?h<170 4 170?h<180 2 180?h<190 0 This table shows me that nearly 50% of female students are between the height of 150cm and 160cm,

Mode The mode is the number that occurs most in a set of data. To work out the mode I will leave the measurements in order of size and find the number that occurs most. I will find the mode for each gender separately for all the years.

The cumulative frequency is plotted against the interval in a cumulative frequency graph to show a cumulative frequency curve. * Stem and Leaf diagram A steam and leaf diagram gives an overall look at the distribution of the data. In this method of data presentation, the data's are presented as