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I am going to investigate the height and weight of males and females from the whole of Mayfield School, which will show a pattern, this pattern being that as a pupils height increases so does their weight.

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Introduction

GCSE Mathematics: Handling Data Practice Project

Introduction

I am going to investigate the height and weight of males and females from the whole of Mayfield School, which will show a pattern, this pattern being that as a pupils height increases so does their weight.

I have collected the height, weight and gender of pupils from secondary data that was provided from the Internet. I have been restricted to these resources due to the time restrictions. The data

...read more.

Middle

             25

1.9

40

1.03

45

26

1.8

48

1.66

54

27

1.45

40

1.53

52

28

1.56

35

1.65

49

29

1.65

64

1.61

47

30

1.57

49

1.55

66

I know this data is a fair sample because it was chosen by Random using the Rnd button on the calculator.

I will now make a more useful representation of the data for my first line of enquiry.

Male

Group (male)

Tally

Frequency

35 ≤ W < 40

III

3

40 ≤ W < 45

IIII

4

45 ≤ W < 50

IIIII

5

50 ≤ W < 55

IIIIII

6

55 ≤ W < 60

IIIII

5

60 ≤ W < 65

IIII

4

65 ≤ W < 70

I

1

70 ≤ W < 75

II

2

Group

Mid-value

Frequency

Total

1. 35 ≤ W < 40

37.5

3

112.5

2. 40 ≤ W < 45

42.5

4

170

3. 45 ≤ W < 50

47.5

5

237.5

4. 50 ≤ W < 55

52.5

6

315

5. 55 ≤ W < 60

57.5

5

287.5

6.60 ≤ W < 65

62.5

4

250

7. 65 ≤ W < 70

67.5

1

67.5

8. 70 ≤ W < 75

72.5

2

145

Total

30

1585

...read more.

Conclusion

37.5

1

37.5

3. 40 ≤ W < 45

42.5

5

212.5

4. 45 ≤ W < 50

47.5

7

332.5

5. 50 ≤ W < 55

52.5

10

525

6. 55 ≤ W < 60

57.5

1

57.5

7. 60 ≤ W < 65

62.5

3

187.5

8. 65 ≤ W < 70

67.5

1

67.5

Total

30

1485

Average

49.5

112333334444444555555555567778

As you can see the modal value is group5 which is 50 ≤ W < 55 this also coincides with my average of 50 (rounded up)

Group

Cumulative Frequency

35

2

40

3

45

8

50

15

55

25

60

26

65

29

70

30

Range

Male                                                                              Female

Height                                                                           Height

1.90 m – 1.35 m = 55cm                              1.80m – 1.03 = 77cm

Weight                                                                          Weight

72Kg – 35Kg = 37Kg                                       66Kg – 30Kg = 36Kg

Mean

Median

Mode

Range

Male

52.8Kg

50 ≤ W < 55

4

37Kg

Female

49.5Kg

50 ≤ W < 55

5

36Kg

All four measures of average in the table above (mean, median, mode and Range) show that the difference in Weight between Male and Females is very small.

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...read more.

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