• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12
  13. 13
    13
  14. 14
    14
  15. 15
    15
  16. 16
    16
  17. 17
    17
  18. 18
    18
  19. 19
    19
  20. 20
    20
  21. 21
    21
  22. 22
    22
  • Level: GCSE
  • Subject: Maths
  • Word count: 5177

mayfield course work -boys are generally heavier than girl. This has to do with their body structure. Therefore I predict that my results will produce a pattern which shows that boys weight more than girls.

Extracts from this document...

Introduction

Chioma Akunna                Mathematics Coursework: Statistics

11 Beatrice

Introduction

In this coursework I will be looking at various lines of enquiry based on data collected from Mayfield High School. Therefore I will be doing an investigation into the relationship between height, weight, body mass index and age of boys and girls at this school.

People’s height and weight are affected by their age and gender.

I assume that in year 7-9, more girls would be taller than boys. This is because girls tend to grow faster than boys at the early stages of development but boys eventually grow taller than them. Therefore in year 10-11, more boys would be taller than girls. This also applies to the adults aged 20 and above.

As for the weight, boys are generally heavier than girl. This has to do with their body structure. Therefore I predict that my results will produce a pattern which shows that boys weight more than girls. This pattern will be produced for all age groups: 7-9, 10-11 and 20+. The scatter diagram will have no correlation between age and BMI. This is because the data being used is non-continuous as age group 17-19 has been skipped in this investigation.

The histogram for year group 7-11 will show that most of the students will be underweight but more girls would be overweight than boys. As for the adults aged 20 and above, most of them will be overweight.

Method

There are 1183 students in Mayfield but I need to sample only 60 students. The population has been divided into strata according to their year group and gender too.

...read more.

Middle

0

Male

1.82

80

24.2

10

39

7

Male

1.83

90

26.9

11

39

3

Male

1.75

81

26.4

14

27

10

Male

1.78

70

22.1

18

27

7

Male

1.78

65

20.5

19

41

2

Male

1.74

89

29.4

PIE CHART:  The pie charts will be used to show the relationship between height and age group. The result will then compared between boys and girls of the different age groups.

11 – 14 years:                              Male                                                 Female

Height Interval (m)

Tally

Frequency

Angle

Tally

Frequency

Angle

1.4 – 1.49

||

2

34

|||| |

6

108

1.5 – 1.59

||||

4

69

||||

5

90

1.6 – 1.69

|||||||| ||

12

206

|||| ||

7

126

1.7 – 1.79

|||

3

51

|

1

18

1.8 – 1.89

|

1

18

15 – 16 years:                      Male                                                   Female

Height Interval (m)

Tally

Frequency

Angle

Tally

Frequency

Angle

1.5 – 1.59

||

2

80

||

2

72

1.6 – 1.69

|||

3

120

||||

5

180

1.7 – 1.79

||

2

80

||

2

72

1.8 – 1.89

|

1

40

|

1

36

1.9 – 1.99

|

1

40

36

20+                             Male                                                          Female

Height Interval (m)

Tally

Frequency

Angle

Tally

Frequency

Angle

1.50 – 1.54

|

1

36

1.55 – 1.59

|

1

36

1.60 – 1.64

||

2

72

1.65 – 1.69

||||

4

144

1.70 – 1.74

|

1

36

1.75 – 1.79

||||

5

180

||

2

72

1.8 – 1.84

|||

3

108

1.85 – 1.89

|

1

36

With reference to table 1, the median group and estimated mean in the sample were higher for boys than for girls. However the sample for girls in year group 7-9 were more spread out with a range of 0.49m compared to 0.39m for the boys. This must have affected the mean. The evidence from the sample suggests that in year group 7-9, 12 boys out of 41 pupils, have a height between 1.6m and 1.69m whilst 7 girls out of the same 41 pupils have a height of 1.6m and 1.69m. This prove that the first part of my hypothesis is wrong: i predicted that in year 7-9, more girls would be taller than boys but my result shows more boys to be taller than girls.
However in year group 10-11, there were more girls than boys with a height between 1.6m and 1.69m though the samples for boys were more spread out with a range of 0.49m compared to 0.39 for the girls. Once again my hypothesis is wrong because i predicted that in year 10-11, boys would be taller than girl.
These conclusions are based on a sample of only 60 pupils. Therefore the limitation of data could have affected the accuracy of my hypothesis. If I could extend the sample my hypothesis is likely to be right.

MEASURES OF AVERAGES

Heights

Year group 7 - 9:                     Male                                                         Female

Height Interval (m)

Frequency

f

Midpoint

x

fx

Frequency

f

Midpoint

x

fx

1.4 – 1.49

2

1.445

2.89

6

1.445

8.69

1.5 – 1.59

4

1.545

6.18

5

1.545

7.725

1.6 – 1.69

12

1.645

19.74

7

1.645

11.515

1.7 – 1.79

3

1.745

1.745

1

1.745

1.745

1.8 – 1.89

1

1.845

1.845

∑f = 21

∑fx = 34.045

∑f = 20

∑fx = 31.52

             Estimated mean = 34.045                                                   = 31.52

                                                     21                                                      20

                                      = 1.62                                                                 = 1.57

Year group 10 - 11                  Male        Female

Height Interval (m)

Frequency

f

Midpoint

x

fx

Frequency

f

Midpoint

x

fx

1.5 – 1.59

2

1.545

3.09

2

1.545

3.09

1.6 – 1.69

3

1.645

4.935

5

1.645

8.225

1.7 – 1.79

2

1.745

3.49

2

1.745

3.49

1.8 – 1.89

1

1.845

1.845

1

1.845

1.845

1.9 – 1.99

1

1.945

1.945

∑f = 9

∑fx = 15.305

∑f = 10

∑fx = 16.65

        Estimated mean = 15.305        = 16.65

                                                9              10

                                         = 1.70                                                               = 1.67

  20+                                     Male        Female

Height Interval (m)

Frequency

f

Midpoint

x

fx

Frequency

f

Midpoint

x

fx

1.54 – 1.54

1

1.52

1.52

1.55 – 1.59

1

1.57

1.57

1.6 – 1.64

2

1.62

3.24

1.65 – 1.69

4

1.67

6.68

1.7 – 1.74

0

1.72

0

1

1.72

1.72

1.75 – 1.79

2

1.77

3.54

5

1.77

8.85

1.8 – 1.84

3

1.82

5.46

1.85 – 1.89

1

1.87

1.87

∑f = 10

∑fx = 16.55

∑f = 10

∑fx = 17.452

        Estimated mean = 16.55        = 17.452

                                              10                    10

                                                        = 1.66        = 1.75

Table 1

Measures of average: heights (metres)

Estimated Mean

Median Group

Modal Group

Range

Year group 7-9

male

female

1.62

1.6 – 1.69

1.6 – 1.69

0.39

1.57

1.5 – 1.59

1.6 – 1.69

0.49

Year group 10-11

male

female

1.70

1.6 – 1.69

1.6 – 1.69

0.49

1.67

1.6 – 1.69

1.6 – 1.69

0.39

20+

male

female

1.66

1.65 – 1.69

1.65 – 1.69

0.29

1.75

1.75 – 1.79

1.75 – 1.79

0.19

CUMULATIVE FREQUENCY: the cumulative frequency graph will be used to compare the boys and girls weight in each age group. I will be commenting on the inter-quartile range and median and making reference to the box plot.

Year group 7-9                         Male                                              Female

Weight Interval (kg)

Tally

Frequency

Cumulative Frequency

Tally

Frequency

Cumulative Frequency

30 – 39

|

1

1

|

1

1

40 – 49

||||||||||

12

13

|||||||| |

11

12

50 – 59

|||||

6

19

|||| |

6

18

60 – 69

|

1

20

||

2

20

70 – 79

0

20

80 - 89

|

1

21

Year group 10 - 11:                        Male                                                 Female

Weight Interval (kg)

Tally

Frequency

Cumulative Frequency

Tally

Frequency

Cumulative Frequency

30 – 39

|

1

1

40 – 49

||

2

2

|||

3

4

50 – 59

|||

3

5

||||

5

9

60 – 69

|||

3

8

|

1

10

70 – 79

0

8

80 –  89

|

1

9

20+                                 Male                                                    Female

Weight Interval (kg)

Tally

Frequency

Cumulative Frequency

Tally

Frequency

Cumulative Frequency

40 – 49

|

1

1

50 – 59

|||

3

4

60 – 69

|

1

1

|||

3

7

70 – 79

|||

3

4

7

80 – 89

||||

5

9

||

2

9

90 –  99

|

1

10

|

1

10

...read more.

Conclusion

  • All three measures of average are higher for boys than for girls. In year group 7-9 the median and mode as a measure of average was similar. However, the data shows that boys weight more than girls in the same age group. Table 3 shows the estimated mean for boys in year group 10-11 to be 58.9kg and 50.5kg for girls in the same year group. The box plot shows that the girls’ inter-quartile range is 4.6kg less than the boys’. This suggests that the boys’ weights are more spread out than the girls. As for the adults all three measures of average are greater for the men than for the women. The adult data supports my hypothesis and proves that it is right.
  • There is no correlation between body mass index and age both for the adult data and the sample. This is as a result of non-continuous data as age group 17-19 was skipped. This proves my hypothesis right.
  • Histogram shows more than half of the sample (61%) to be underweight. This proves prediction right.
  • Standard deviation for adult shows that male data is closer to mean than female data. With a standard deviation of 2.54, we can conclude that BMI values of male are close to the mean (24.89). On the other hand, female values are more spread out with a mean of 24.39 and a deviation of 4.71. This could be as a result of limited data.

Further sampling of data could make all my hypothesis correct. Therefore I could improve on the result obtained by extending the sample. It would give a wider range of data which could change the result obtained.

...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.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

  1. Marked by a teacher

    Height and Weight of Pupils

    This shows that my hypothesis is correct. Percentage Error To calculate the percentage error the formula is Cumulative median .

  2. Maths Statistics Coursework - relationship between the weight and height

    After I had all the data, I presented the data into scatter graphs, tables box and whisker plots which provided me with information to conclude on the data. From each presentational method, I interpreted to help me make an educated conclusion to prove or disprove the hypotheses.

  1. The comparison between Football, Javelin and Weight lifting.

    This is because weight lifting and javelin throwers will have predominantly fast twitch muscle fibres which work purely anaerobically; thus making slow twitch muscle fibres (which work aerobically) quite useless. Explosive leg power Weight lifters and football players both require very high explosive leg power, but both for completely different movements and reasons.

  2. Conduct an investigation comparing height and weight from pupils in Mayfield School.

    I feel this will give me information on how much change occurs in five years. I will be doing standard deviation to find out whether how much the deviation of height and weight from the mean changes as you progress from year 7 to year 11.

  1. Offers and Stipulation in Lonely Hearts Advertisements: A Comparison of Gender and Age.

    I would say that this male is reasonably confident within himself and that is why he tells the reader about himself and what he wants. You would not get a person who is unsure of themselves saying that they were 'good-looking' in an advert because they would fear rejection.

  2. Maths Data Handling

    I obviously need a stratified sample for this exercise as there are a growing number of students that come into the school each year. This means that there will be more students in Year 7. In order to represent the whole school appropriately, I need to create a stratified sample

  1. I would like to know whether there is a link between ability in Maths ...

    3 8 Male 4 4 8 Male 4 5 8 Male 4 3 8 Male 4 5 8 Male 4 4 8 Male 4 4 8 Male 4 4 8 Male 4 4 8 Male 4 4 8 Male 4 5 8 Male 4 4 8 Male 4 4 8

  2. Statistics Mayfield High

    When we compare these two scatter diagrams we can see that the Male results have a larger range of IQ than the Females but they both have the same range for their KS2 Maths results. Both the graphs are most densely distributed around the median of the array of data.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work