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The Weight of Your School Bag

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Introduction

Statistics Coursework

The Weight of Your School Bag

Introduction:        My Chosen Topic is The Average Weight of the School Bag of Students in Year Ten at the Start of the week and just before it ends, as it seems to be a topic that no one actually thinks about all that much, but students sometimes complain how heavy there bags seem to be.

Hypothesis:        The Hypotheses I present on my topic are:

  • The Weight of the Bag will be Slightly Heavier as it is the start of the week, and students have a lot of work to turn in
  • The Weight of the Bag will be Slightly Lighter as it is just before the end of the week.
  • The Weight will also depend on the Miscellaneous Items the Student is carrying, so it is hard to determine which gender will have the Heavier bag but it should be about the same

Questionnaire: There was a little bit of difficulty in making the questionnaire for me, as I wanted specific results whilst keeping the questionnaire as simple as possible.

...read more.

Middle

x

x2

ET

10

100

10

100

MT

10.67

113.85

7.33

53.73

JDB

6.00

36.00

7.33

53.73

PSH

5.67

32.15

4.33

18.75

JW

9.33

87.05

8.67

75.17

JB

7.33

53.73

5

25.00

AF

10.00

100.00

4.33

18.75

PBA

9.67

93.51

5.33

28.41

KL

10.33

106.71

9

81.00

SUM

79

723

61.32

454.54

Standard Deviation         = (∑x2 ÷n)-(∑x÷n)2

Standard Deviation         = (723/9)-(79*9)

                        = 80.34-8.78

                        = 71.56

Monday                = 8.46

Standard Deviation        = (454.54/9)-(61.42/9)

                        = 50.5-6.82

                        = 43.68

Thursday                = 6.61

From these results you can immediately see that for Male Students in Year ten, the Weight of their Bags is Heavier on Monday than Thursday, also which the attached graphs and charts display.

Female Students

MONDAY

THURSDAY

MONDAY

THURSDAY

MONDAY

THURSDAY

ET

2

4

3

2

6

4

MT

10

5

10

8

6

3

JDB

11

4

12

9

6

9

PSH

14

2

12

4

6

9

JW

15

11

2

6

5

9

JB

3

9

7

4

6

8

AF

13

14

8

9

7

5

PBA

11

3

9

7

15

16

KL

14

13

7

8

13

5

...read more.

Conclusion

From the Male Student Section, you can see through the mean and Standard Deviation that the weight is heavier on Monday then on Thursday, Which is also true for Female Students as well.

Another Thing worth noting was that the overall weight of Female Student Bags was slightly less than Male Students disproving my last hypothesis:

  • The Weight will also depend on the Miscellaneous Items the Student is carrying, so it is hard to determine which gender will have the Heavier bag but it should be about the same.image00.png

Evaluation:        Overall, my Coursework went pretty well but there were many factors that needed to be addressed such as the inability of many students to complete my Questionnaire, which I’ll admit was very difficult and time-consuming. Another Problem was the limited age group which limited the results a lot, as younger student could have lighter/heavier bags. Another problem was that only 10 people were chosen from each form group, which could have increased as well, thus giving more reliable results. One more thing would be the Lack of Secondary Data available on this topic, which I could not find to include in my work

...read more.

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