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  • Level: GCSE
  • Subject: Maths
  • Word count: 4109

Do Year 10 and Year 11 students from Mayfield High School who weigh less, watch less television than those with a higher weight?

Extracts from this document...

Introduction

Do Year 10 and Year 11 students from Mayfield High School who weigh less, watch less television than those with a higher weight?

        In this piece of coursework I intend to investigate whether or not there is a correlation between the numbers of hours of TV a student watches on average each week and their weight. I expect that the more active students spend less time watching television and spend more time doing physical activities and therefore students who watch less television will weigh less. I expect that this correlation will be stronger with the Yr.10 students because they have more time to watch TV, and when they are not watching TV they have more time to focus on physical activities, whereas the Yr.11 students will have to concentrate on studying for their GCSE’s, and will therefore watch less TV, but also have less time for physical activities. I will also examine the general distribution of both the values, and I will investigate the differences between the year groups, and whether there is an overall pattern between the amounts of TV that both of the year groups watch watch.

Why I am using a random stratified sample

        To carry out this investigation I will have to collect data which will give me the year group a student is in, their weight, and on average how much television they watch a week. I collected this information from the Edexcel database because the information is accurate, the information is easy to collect from the database and it is up to date. The data on the database has not been collected directly by me, so it is secondary. I intend to take a random stratified sample of 60 students from the database.

...read more.

Middle

< t < 40

1

40 < t < 45

3

45 < t < 50

1

The modal group for year 10 is 10 to 15 hours, but the modal group for year 11 is 20 to 25 hours. This could represent a very strong difference but the class boundaries chosen have only been chosen because they were simple.

Angles

Year 10

Hours of TV per week

Angles (1.sig.fig)

0 < t < 5

3 ÷ 32 x 360 = 33.8

5 < t < 10

2 ÷ 32 x 360 = 22.5

10 < t < 15

7 ÷ 32 x 360 = 78.8

15 < t < 20

6 ÷ 32 x 360 = 67.5

20 < t < 25

5 ÷ 32 x 360 = 56.3

25 < t < 30

4 ÷ 32 x 360 = 45.0

30 < t < 35

1 ÷ 32 x 360 = 11.2

35 < t < 40

1 ÷ 32 x 360 = 11.2

40 < t < 45

1 ÷ 32 x 360 = 11.2

45 < t < 50

2 ÷ 32 x 360 = 22.5

Year 11

Hours of TV per week

Angles

0 < t < 5

2 ÷ 28 x 360 = 25.7

5 < t < 10

3 ÷ 28 x 360 = 38.6

10 < t < 15

5 ÷ 28 x 360 = 64.2

15 < t < 20

5 ÷ 28 x 360 = 64.2

20 < t < 25

7 ÷ 28 x 360 = 90.0

25 < t < 30

1 ÷ 28 x 360 = 12.9

30 < t < 35

0

35 < t < 40

1 ÷ 28 x 360 = 12.9

40 < t < 45

3 ÷ 28 x 360 = 38.6

45 < t < 50

1 ÷ 28 x 360 = 12.9

Pie-charts

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image20.pngimage21.png

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image25.png

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Weight Pie Charts

Year 10

Weight (Kg)

Frequency

35 < w < 40

0

40 < w < 45

1

45 < w < 50

5

50 < w < 55

7

55 < w < 60

8

60 < w < 65

7

65 < w < 70

1

70 < w < 75

2

75 < w < 80

1

80 < w < 85

0

85 < w < 90

0

90 < w < 95

0

Year 11

Weight (kg)

Frequency

35 < w < 40

3

40 < w < 45

3

45 < w < 50

4

50 < w < 55

6

55 < w < 60

2

60 < w < 65

4

65 < w < 70

3

70 < w < 75

1

75 < w < 80

0

80 < w < 85

0

85 < w < 90

1

90 < w < 95

1

        The mode for year 10 is 55 to 60 and the mode for year 11 is 50 to 55. This again shows a higher mode for year eleven results than year ten results. I cannot whole-heartedly back this conclusion as the class boundaries were used for there simplicity, but there is definitely a at least vague correlation between the results I got for average time of television watched per week and the weight. There is definitely a difference between the results produced for each year group.

Angles

Year 10

Weight (kg)

Angles

35 < w < 40

0

40 < w < 45

1 ÷ 32 x 360 = 11.2

45 < w < 50

5 ÷ 32 x 360 = 56.3

50 < w < 55

7 ÷ 32 x 360 = 78.8

55 < w < 60

8 ÷ 32 x 360 = 90.0

60 < w < 65

7 ÷ 32 x 360 = 78.8

65 < w < 70

1 ÷ 32 x 360 = 11.2

70 < w < 75

2 ÷ 32 x 360 = 22.5

75 < w < 80

1 ÷ 32 x 360 = 11.2

80 < w < 85

0

85 < w < 90

0

90 < w < 95

0

Year 11

Weight (kg)

Angles

35 < w < 40

3 ÷ 28 x 360 = 38.6

40 < w < 45

3 ÷ 28 x 360 = 38.6

45 < w < 50

4 ÷ 28 x 360 = 51.4

50 < w < 55

6 ÷ 28 x 360 = 77.1

55 < w < 60

2 ÷ 28 x 360 = 25.6

60 < w < 65

4 ÷ 28 x 360 = 51.4

65 < w < 70

3 ÷ 28 x 360 = 38.6

70 < w < 75

1 ÷ 28 x 360 = 12.9

75 < w < 80

0

80 < w < 85

0

85 < w < 90

1 ÷ 28 x 360 = 12.9

90 < w < 95

1 ÷ 28 x 360 = 12.9

...read more.

Conclusion

         There was no notable correlation between the two variables I chose, this fact has been illustrated quite clearly in my scatter graphs. Although both year groups have a similar spread of results for average hours of TV watched per week, year 11 seem to watch slightly more TV than year 10. The mean is higher for year 11. This is quite surprising as I would expect year 11 to be revising for their GCSE’s, and therefore I would expect them to watch less TV. The spread of year 10 is greater for TV than year 11, but for weight the year 11 results are far more spread out than year 10.

        The only real difference I have found between the two year groups is that year 11’s watch slightly more TV and on average year 10’s weigh more than year 11’s. Initially I thought that there must be some relationship between TV and weight but the information I collected has proven my hypothesis to be wrong. It would be interesting to see that if you increase the amount of TV being watched over a 12-month period if the weight increases. Although this data was only I sample I am sure that my data is correct because it was a put together using the method of a random stratified sample, which means it is accurate and avoids bias. The size of 60 was an appropriate size of sample. So, in the end all I conclude is that there is no correlation between the amount of TV watched and the weight.  

...read more.

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