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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)

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) D² 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

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

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