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  • Level: GCSE
  • Subject: Maths
  • Word count: 1090

Statistical Project Analysing the data from 30 students of 11th grade most which are 15, 16, and 17 years old.

Extracts from this document...

Introduction

Weight (kg)

Height (cm)

Number of Student

68.4

182

1

75.7

187

2

45.8

178

3

66.3

181

4

82.8

194

5

75.8

181

6

55.1

182

7

72.9

187

8

69.8

186

9

68.3

180

10

58

173

11

62.7

178

12

65

185

13

48.7

172

14

71.1

187

15

63.5

183

16

72.8

180

17

63

184

18

52.6

175

19

54.5

179

20

68.2

184

21

63.3

179

22

60.9

172

23

67

183

24

66.1

179

25

73.4

185

26

75.5

188

27

65.8

184

28

76.3

187

29

64.6

185

30

Mohammad Al-Hussainan      11-1                3/1/2004        

Math IGCSE Statistical Project

Introduction

   The data below has been collected from 30 students of 11th grade most which are 15, 16, and 17 years old. These students are from different regions which might show a differentiation in height and weight. Height is affected by mostly 3 factors which are genes, nutrition and age. Since this data is collected from students of 15, 16 and 17, it might not be a perfect analysis. However weight is mostly affected by nutrition and exercise.

image01.png

OBSERVATION

Here we observe that most people who are tall weigh more than people who are not tall because as people get taller (grow), their body expands causing more weight to be put and so

...read more.

Middle

PIE CHARTS

image04.png

image05.png

Height

MEAN

182+187+178+181+194+181+182+187+186+180+173+178+185+172+187+  183+180+184+175+179+184+179+172+183+179+185+188+184+187+185

                                                     30

image00.png

                  182

EXTREME VALUES = 194 cm

MODE

image00.png

        187 as it appears 4 times

MEDIAN

172,172,173,175,178,178,179,179,179,180,180,181,181,182,182,183,183,184,184,184,185,185,185,186,187,187,187,187,188,194

image00.png

                  182.5 =   182+183 ÷ 2 = 182.5

OBSERVATION

   As we can see that the answer is exact and was very easy to calculate. However the mean was affected by the extreme value which in this case was 194 cm. The most height that appeared in the data was 187 as there were four students of that height. The median gave us the answer as a decimal which is a disadvantage but we can observe that the median was very close to the mean.

CONCLUSION

     The average height (mean) of a student is 182 cm and the height that appeared most was 187 cm. The median was 182.5.

SIMPLE DATA IN TABLES OF HEIGHT

194

188

187

186

185

184

183

182

181

180

179

178

175

173

172

Height

1

1

4

1

3

3

2

2

2

2

3

2

1

1

2

Frequency

GROUPED DATA IN TABLES OF HEIGHT

190-

180-

170-

Height(cm)

1

20

9

Frequency

OBSERVATION

...read more.

Conclusion

CONCLUSION

    The average weight (mean) of a student is 65.79 kg and the median was 182.5. There was no mode obtained.

SIMPLE DATA IN TABLES OF WEIGHT

82

76

75

73

72

71

69

68

67

66

65

64

63

62

60

58

55

54

52

48

45

Weight

1

1

3

1

2

1

1

3

1

2

2

1

3

1

1

1

1

1

1

1

1

Frequency

GROUPED DATA IN TABLES OF WEIGHT

80-

70-

60-

50-

40-

Weight(kg)

1

8

15

4

2

Frequency

Cumulative Frequency

Weight(kg)

2

<50

6

<60

21

<70

29

<80

30

<90

LOWER QUARTILE = 62.7kg

UPPER QUARTILE = 72.8kg

MEDIAN = 66.2 kg

INTERQUARTILE RANGE = 10.1kg

image07.png

OBSERVATION

     Here the interquartile range was 10.1 kg which shows that this data is more spread than the data of height. The extreme value which in this case was 82.8 kg was avoided by using the interquartile range.

CONCLUSION

       The interquartile range here is 10.1 kg.

HISTOGRAM OF WEIGHT

80-

70-

60-

50-

40-

Weight(kg)

1

8

15

4

2

Frequency

1 ÷ 10 = 0.1

8 ÷ 10 = 0.8

15 ÷ 10 = 1.5

4 ÷ 10 = 0.4

2 ÷ 10 = 0.2

Frequency Density

...read more.

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