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  • Level: GCSE
  • Subject: Maths
  • Essay length: 790 words

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.

Extracts from this essay...

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 is reliable because it was obtained from an actual school but has been given the fictitious name of Mayfield High School. I am going to use the sample size of 30 boys and 30 girls out of the whole School (1183 Students) Male Female Pupil No. Height (m) Weight (Kg) Height (m) Weight (Kg) 1 1.6 50 1.64 55 2 1.55 50 1.78 52 3 1.8 60 1.52 52 4 1.6 36 1.73 51 5 1.68 59 1.63

Middle

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.

Conclusion

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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