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  • Level: GCSE
  • Subject: Maths
  • Word count: 1285

Box Coursework

Extracts from this document...

Introduction

Mayfield High

 This investigation is based on Mayfield high a factious school. The data presented is based on a real school. In my investigation I will only be focusing on year 7 and year 9 students.

Year Group

Number of Boys

Number of Girls

Total

7

153

133

286

9

120

145

265

TOTAL

273

278

551

To proceed to the next step of data handling I will now take a random sample of about 30 year 9 boys, 30 year 9 girls, 30 year 7 boys and 30 year 7 girls, so I should have a total number of students of approximately 120. I need to take this sample because the Mayfield data in its original state is far too big to handle. The way I will take my sample is to role a dice this will determine which student I will start on then I will take a systematic approach by choosing every 5th student.

My hypotheses are:

1. Boys are taller than girls

2. The taller a person is the heavier they are.

To investigate these hypotheses I will need to focus on the height and weight of the students that I have collected in my random sample. The sample that I collected is presented on the next page.

...read more.

Middle

2

52

Girls

Weight (kg)

Tally

Frequency

Cumulative Frequency

30≤w<40

lllll l

6

6

40≤w<50

lllll lllll lllll lllll lll

23

29

50≤w<60

lllll lllll lllll lll

18

47

60≤w<70

llll

4

53

70≤w<80

l

1

54

Now that I have presented these results in a cumulative frequency table I will now record these results in different types of graphs and diagrams. By doing this I will discover any relationship between boys and girls heights. I will begin by using bar charts to compare the boys and girls heights.

image00.png

image01.png

The evidence from these bar charts suggests that girls have a higher height than boys but boy’s height is more spread. I know that if I investigate further by using mean, median, mode and range I will have clear evidence of the boys and girls heights.

Firstly I will investigate the boys and girls mean height I will do this by using my frequency tables.

Boys

Height (cm)

Tally

Frequency

Mid point

fx

130≤h<140

l

1

135

135

140≤h<150

lllll l

6

145

870

150≤h<160

lllll lllll lllll lllll lll

23

155

3565

160≤h<170

lllll lllll llll

14

165

2310

170≤h<180

lllll lll

8

175

1400

180≤h<190

l

1

185

185

190≤h<200

0

195

0

...read more.

Conclusion

Height

Mean

Mode

Median

Range

Boys

161cm

150≤h<160

155cm

73cm

Girls

159cm

160≤h<170

159cm

50cm

The boys had a higher mean and also a higher range. The girl’s mode was higher than the boys and this means that more girls are taller than boys so my first hypothesis is incorrect. This investigation has shown me the girls in Mayfield high are generally taller than boys. I will now move on to investigate my second hypothesis.

To investigate my second hypothesis I will have to use scatter graphs. If I have positive correlation on my scatter graph it will mean that the hypothesis is correct. I would expect to see positive correlation and the best way to investigate this would be to use scatter graphs.  

image02.png

image03.png

The results from the scatter graph show that there is a positive correlation. This means that generally the taller someone is the heavier they are. I done separate scatter graph for boys and girls this was to show that it was anything thing to do with what a gender a person is. The two graphs both male and female graphs showed positive correlation.

...read more.

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