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  • Level: GCSE
  • Subject: Maths
  • Word count: 2289

Statistics Coursework

Extracts from this document...

Introduction

Melissa Southward

Statistics Coursework – Pulse Rates

Aim ~ The aim of my investigation is to compare pulse rates, body temperature and hours of exercise, from pupils in my school.

“The normal pulse rate for 11 – 16 year olds is 70 – 100 beats per minute.”

Hypothesis: ~ Females have faster pulse rates than males because when I researched this, I found that            

                       a female’s heart does generally beat faster than males.

                    ~ The older you are, the lower your pulse rate, because according to research, an

                        increased age means decreasing resting pulse rate and a decreased exercising pulse

                        rate.

~ The more hours of exercise you do, the slower the pulse rate because research says

                        regular exercise keeps you fit, therefore your heart doesn’t need to work twice as

                        hard.

                    ~ The year 7’s have slower pulse rates because they are forced to stay healthy and eat

                        healthy. Youngsters are also a lot more active.

                    ~ The higher the body temperature, the higher the pulse rates, because my research

                       explains that the pulse generally increases 7 – 10 beats for each degree of temperature

                       elevation. (Hypothesis for Primary Data.)

I am doing this investigation because it is interesting and important to understand the heart.

Strategy ~ The data I am going to collect are:

  • Gender (Qualitative)
  • Age (Quantitative)
  • Year Group (Quantitative)
  • Number of hours of exercise per week (Quantitative, Discrete)
  • Body Temperature (Quantitative, Continuous)      
...read more.

Middle

1-   6 ∑ D²      =    1 -6 x 17.5     =    0.98              

        n (n² - 1)                   21(21² - 1)

A rank correlation co-efficient of 0.98 suggests that there is a very strong connection between the hours of exercise you do, and the pulse rate.

(See Scatter Graph)

Unfortunately, my scatter graph does not agree with my hypothesis, as it shows that the more exercise you do, the higher your pulse rate, but only ever so slightly, as my graph shows a weak positive correlation, therefore it almost shows that there is no relationship between the number of hours of exercise a person does and, if it affects their pulse rate in girls.

Spearman’s Rank Correlation Co-efficient:

Boys ~

Pulse Rate at rest

Hours of Exercise per week

Rank for Pulse Rate

Rank for hrs of Exercise

Difference (D)

58

4

1

1

0

0

64

5

2

2

0

0

66

5.5

3

3

0

0

67

6

4

4

0

0

72

6.5

5

5

0

0

74

7.5

6

6

0

0

78

8

7

7

0

0

84

9

8

8

0

0

86

11

9

9

0

0

88

12

10

10

0

0

92

13

11.5

11.5

0

0

92

13

11.5

11.5

0

0

93

14

14

13.5

0.5

0.25

93

14

14

13.5

0.5

0.25

93

14.5

14

15

1

1

97

15

16

16

0

0

98

16

17.5

17.5

0

0

98

16

17.5

17.5

0

0

102

18

19

19

0

0

104

20

20

20.5

0.5

0.25

105

20

21

20.5

0.5

0.25

Total

2

  1. 6 ∑ D²      =      1 -   6 x 2         =   0.99

        n (n² - 1)                   21(21² - 1)

A rank correlation co-efficient of 0.99 suggests that there is a very strong connection between the hours of exercise you do, and the pulse rate.

     (See Scatter Graph)

     Unfortunately, this does not agree with my hypothesis, as it shows that the more hours of exercise

     you do, the higher your pulse rate. In this graph, it shows more clearly than the boys that there is

     a connection between the amount of exercise you do and the pulse rate, as it shows a moderate

     Positive correlation.

Primary Data ~

Year 7 Boys

Pulse Rate at Rest

Hours of exercise (week)

Body Temperature (°C)

60

10

31

62

7

35

Box Plots for Pulse Rates

64

8

34

64

8

35

Lowest Value

60

65

7

34

Lower Quartile

65.5

67

1.5

35

Median

78

70

11

33

Upper Quartile

90.5

72

20

34

Highest Value

104

72

8

34

74

14

30

82

8

36

82

5

33

84

4

37

86

8

35

86

9

32

92

6

36

92

3

33

100

10

32

102

11

33

104

10

33

Year 7 Girls

Pulse Rate at Rest

Hours of exercise (week)

Body Temperature (°C)

60

4

34

61

10

35

Box Plots for Pulse Rates

68

10

36

69

11

30

Lowest Value

60

70

5

34

Lower Quartile

72

72

3

33

Median

82

72

7

36

Upper Quartile

94

72

9

31

Highest Value

112

74

3

35

76

5

32

80

9

32

82

4

34

84

6

36

84

5

35

86

5

33

86

7

35

88

7

33

94

4

35

94

4

33

96

4

33

99

2

34

108

1.5

36

112

8

32

...read more.

Conclusion

>

Lowest Value

62

72

2

30

Lower Quartile

73

74

5

32

Median

84

74

10

29

Upper Quartile

92

74

6

28

Highest Value

104

74

9

29

79

6

30

84

4

35

84

4

31

86

3.5

29

88

3

33

91

3

35

92

2

36

92

8

30

98

2

37

98

1.5

37

100

6

31

104

5

31

Year 9 Girls

Pulse Rate at Rest

Hours of exercise (week)

Body Temperature (°C)

58

6

26

62

2

28

Box Plots for Pulse Rates

62

4

35

62

7

30

Lowest Value

58

64

5

30

Lower Quartile

65

68

9

32

Median

76

68

10

28

Upper Quartile

86.5

72

16.5

33

Highest Value

102

74

7

29

76

2

32

76

3

36

77

6

36

78

4.5

31

80

7

32

82

5

32

88

2

29

94

4.5

32

94

5

31

95

3

34

102

1.5

32

Year 11 Boys

Pulse Rate at Rest

Hours of exercise (week)

Body Temperature (°C)

62

6

31

68

9

35

Box Plots for Pulse Rates

69

4

30

69

2

27

Lowest Value

62

72

7

32

Lower Quartile

72

72

7

33

Median

79

74

6

34

Upper Quartile

89

75

6.5

32

Highest Value

101

76

10

29

77

3

35

78

5

27

79

4

29

82

8

29

82

3

28

84

1.5

27

84

6

34

88

3

35

89

5

31

93

7

29

94

2

34

94

2

36

100

1

26

101

1.5

31

Year 11 Girls

Pulse Rate at Rest

Hours of exercise (week)

Body Temperature (°C)

60

9

29

62

7

29

Box Plots for Pulse Rates

62

4

32

64

7

30

Lowest Value

60

64

3

29

Lower Quartile

64

67

1.5

29

Median

78

74

12

34

Upper Quartile

92

75

8

29

Highest Value

110

76

2

28

78

1.5

29

84

1.5

29

84

1.5

27

88

7

34

89

6

31

92

2.5

35

98

1.5

31

99

2

37

110

7

32

110

1.5

32

...read more.

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