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• Level: GCSE
• Subject: Maths
• Word count: 1025

# comparison of pupils heights

Extracts from this document...

Introduction

GCSE Maths Statistics Coursework

For my maths statistics coursework I am going to be comparing the height and weight of the pupils at Mayfield High School. I will compare height and weight because it is continuous data. Firstly I will take a sample of the data.

To get a sample of my data I will tell the spreadsheet to assign a random number to each set of data and then display the data in order of these numbers, I will then chose the top 50 rows of data as my sample. I have chosen this method because it is completely random and easy to do. I will avoid choosing a biased sample by randomising the order of the data again if the sample appears to be biased.

Middle

642

1.71

68

391

1.59

44

317

1.60

41

112

1.62

40

934

1.79

72

198

1.62

54

656

1.61

35

929

1.63

54

262

1.75

60

737

1.60

74

636

1.53

47

I will start by plotting a scatter graph of the height of the pupils against their weight.

The graph shows that there is positive correlation. It tells us that as the taller the pupil the heavier he or she is but there are a few exceptions. The line of best fit tells us that a person who is 1.6 meters weighs about 51 kilograms. I can also work out how strong the correlation is, 0 being the weakest correlation and 1 being the strongest correlation.

I have found out that the generally the taller a person is the heavier he or she is and this is what predicted would be the case.  I am now going to take

Conclusion

Conclusion

I finally conclude that boys are taller than girls. I have the evidence to prove it. Also that it is true that the heavier you are the taller you are. There are some strands of data to go against that. My assignment has been a success. The weight and height graph supports my original hypothesis as it shows positive correlation. I used a scatter graph to display this information because the data was very spread out and most suitable for a scatter graph.

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.

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

1. ## Height and Weight of Pupils

The UQ for female's height and weight was 1.585m and 44.1kg. From all the results you can immediately tell that year 8 students will be taller and heavier than year 7 students but shorter and lighter than yr 11 students.

2. ## &amp;quot;The taller the pupil, the heavier they will weigh.&amp;quot;

9 1.53 45 9 1.54 45 9 1.65 48 9 1.59 45 9 1.80 70 9 1.68 47 9 1.62 52 10 1.73 51 9 1.80 51 10 1.70 60 10 1.66 70 10 1.63 48 10 1.60 47 10 1.62 42 10 1.80 54 10 1.58 45 10 1.63

1. ## Hypothesis&amp;quot;The taller you are, the bigger is your foot length&amp;quot;. I think my hypothesis ...

180?h<190 185 4 740 34225 136900 190?h<200 195 2 390 38025 76050 200?h<210 205 1 205 42025 42025 210?h<220 215 1 215 46225 46225 ? 100 16480 2736100 Mean, =16480 / 100=164.8 Variance, = 2736100 / 100 - 164.82= 201.96 Standard deviation, s = V201.96= 14.21 (2 d.p), so s.d.

2. ## mayfeild statistics

Equation of the line of best fit Once I found the mean for both, I used it to plot the mean point on to the scatter graph. I used the mean point to draw my line of best fit. The scatter graph shows that the taller a person is the more they weigh.

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

= 1.3x + 123 x = y - 123 1.3 So if a person is 175cm tall the equation of the line would suggest If y = 174cm then X = 175 - 123 = 42 = 40 (40 + 25 = 65)

2. ## maths coursework-Height and Weight of Pupils and other Mayfield High School investigations

This also shows us that boys will tend to have a higher weight and girls will tend to have a lower weight. Now I will consider the difference between the height of boys and girls. Mean height BOYS Height (cm)

1. ## Investigating the relationship between height and weight in a sample of 60 pupils.

w < 90 0 90 ? w < 95 1 This table shows us that the spread of weight for boys in Key Stage 3+4 is greatly extended by 1 individual. This also increases the range. The group that has the most boys is the one with weights ranging from 55-59 kg.

2. ## Height and weight of pupils

I will be using quota sampling in my investigation so that there will be equal numbers of people in each group sampled, making it a fair test. The groups I will be using are age, weight, height and gender of students.

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