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  • Level: GCSE
  • Subject: Maths
  • Word count: 1692

Mayfield High School is a school for students who are in year 7 -11. It is a growing school so the number of students in each year varies. Although fictional, this data is based on a real school.

Extracts from this document...

Introduction

Mayfield High School is a school for students who are in year 7 -11.  It is a growing school so the number of students in each year varies. Although fictional, this data is based on a real school.

Secondary data has been provided by my teacher which has the gender, age, year group, height and weight of all the students. This data is called secondary data because it has been gathered by other people and I am using it. Altogether there are 1200 students in this school. The data below shows the number of boys and girls in each age group.

Year

group

Number of

boys

Number of girls

Total number of students

7

150

150

300

8

145

125

270

9

120

140

260

10

100

100

200

11

84

86

170

The project in this chapter will investigate the relationship between the weight and the height for the students at Mayfield High School. To do this I will draw and compare a variety of different graphs and then try and find out if my hypothesis is correct. I will add the age and make a hypothesis for it. I will do this by stratified sampling. I will have to take information again but this time I will only pick about two to three kids.

Hypothesis:

[a]
  • I predict that boy’s weight will be more then those of the girls. I also predict that the boys height will be taller then the girls height. Also the girls will weigh less then that of the boys weight.  This can be found by the number of girls dots that in the line of best fit and the number of boys dot that are not in the line of best fit.
  • I also predict that the boy’s weight and height will be more spread out than the girl’s height and weight. This can be found by the interquartile range which I will do later on.
...read more.

Middle

1.77

72

Male

24

11

1.63

52

Female

25

10

1.8

59

Male

26

10

1.62

72

Male

27

10

1.61

54

Female

28

11

1.61

42

Male

29

10

1.87

70

Male

30

11

1.65

48

Female

Below are two frequency graphs to present the data of height and weight of all 25 students. With this table you will be able to see the height and weight better and it will be easier to make any comments about it.

Height

(cm)

Tally

Frequency

100 - 109

0

110 - 119

0

120 - 129

0

130 - 139

11

2

140 - 149

111

3

150 - 159

(lllll) l1

7

160 - 169

(lllll) (lllll)

10

170 - 179

1l11

4

180 - 189

1111

4

190 - 199

0

0

Weight

(kg)

Tally

Frequency

0 - 9

0

10 - 19

0

20 - 29

0

30 - 39

111

3

40 - 49

(lllll) (lllll) 1

11

50 - 59

(lllll) lll1

9

60 - 69

1l

2

70 - 79

(11111)

5

80 - 89

0

90 - 99

0

I will now construct a bar chart for the height and weight frequency that is shown above in my tally chart.

image03.png

Now I will construct a bar chart for the weight.

image04.png

I will now separate my frequency tables for height and weight. One will be for the boys and the other will be for the girls.

Height for boys

Tally

Frequency

100-109

0

110-119

0

120-129

0

130-139

1

1

140-149

11

2

150-159

111

3

160-169

111

3

170-179

111

3

180-189

1111

4

...read more.

Conclusion

The relationship has also changed for the girl’s weight and height. For example, one girl is 183cm tall and weighs 67kg while another girl is 21cm tall but weighs 20 kg heavier. Also the majority of the student’s weight and height doesn’t stick to this relationship.

I am now going to show you two scatter graphs. One will hold data of the boy’s weight and height and the other will hold data of the girl’s height and weight.

image11.pngThe formula for to find out the equation to this graph is Y = Mx + C. The equation for this graph is y = 3.2x + 60.image00.png

Now I will do scatter graph to show the relationship between the girls height and girls weight.

image12.png          The equation for this graph is y = 2.8x + 62.

Now I will do a scatter graph for the boy’s weight and girl’s height in a mixed population graph.  

image01.pngimage02.png

The equation for this graph is y = 2.9x + 44.

The line of best fit can tell me an estimate about somebody. For example if a boy is 140 cm then he will weigh about 45 kg.


[a]

...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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