• 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
• Level: GCSE
• Subject: Maths
• Word count: 1399

# Height and foot sizes

Extracts from this document...

Introduction

Samantha Bennett

Maths Coursework

Statistics

My task is to produce a statistical report with the data I have been given. Which is on an excel spread sheet, the data consists of Name, Year group, Gender, Maths set, Registration group, Height and foot length of every person who was present on the day the statistics were taken, to ensure some kind of confidentially there is only the first letter of the forename and the first three letters of the surname in the data. All the measurements were taken to the nearest centimetre. Some of the data is missing such as the set or gender because the information was unavailable but this makes the statistics realistic because in modern day life information would be missing or unavailable. The data collected is primary data because I was present and participated when it was being collected. The data was collected by measuring the height of every person to the nearest centimetre and their right foot to the nearest centimetre. 6th

Middle

5

0.6

163-172

5

10

0.5

Standard width 1

My histograms give a good visual impression of my data.

The simplest measure of spread is the range but it does not take in to account the extremes in the data, A better measure of spread is the inter quartile range because it ignores the extreme values I will get the inner quartile range from a cumulative frequency graph. I will draw a cumulative frequency graph for each years 8 and 11 putting the girls and boys on the same graph

Year 8 girls-

 Height frequency cumulative frequency 140-145 4 4 146-150 4 8 151-155 7 15 156-160 6 21 161-165 4 25 166-170 3 28 171-175 2 30

Year 8 boys-

 Height frequency cumulative frequency 140-145 6 6 146-150 4 10 151-155 12 22 156-160 6 28 161-165 10 38 166-170 2 40

Year 11 girls-

 Height frequency cumulative frequency 156-160 11 11 161-165 13 24 166-170 6 30 171-175 1 31

Year 11 boys-

 Height frequency cumulative frequency 161-165 1 1 166-170 5 6 171-175 9 15 176-180 13 28 181-185 10 38 186-190 0 38 191-195 1 39

As you can see on my cumulative frequency graphs I have marked the inner quartile ranges in. in Year 8 a better measure of spread would be the inner quartile range this is –

Girls: 167.5-150=17.5

Boys: 162.5-150=12.5

And year 11

Girls: 166-155.5= 10.5

Boys: 181-173.5= 7.5

Conclusion

All I can do is plot a scatter diagram as I do not have enough statistics to do this question in detail.

As you can see my scatter diagram has a positive correlation so year 10 boys in our school follow the statement do tall people have big feet. Of course I only used a small sample and all from the Anglo European school, so my report is not reliable as there may be something peculiar about the people in my school.

From my report I can see that at the beginning of the school girls are slightly taller but by the end of the school boys are a lot taller then the girls. If I could have continued my report I would have liked to do the standard deviation of al the years and would have liked the produce a cumulative frequency graph for more then 2 years. I would have also liked to attempt the harder question- tall people have big feet on more then year 9 boys.

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

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

1. ## Does Foot Size Increase With Height and Do Boys Have Larger Feet than Girls?

Foot size (cm) Height (cm) Foot Size (cm) 158 27 160 19 158 24 173 22 160 23 166 22.5 169 30.1 161 20 170 29 157 19 171 24.2 175 23 171 25.9 171 24.5 172 27 157 23.7 173 29.2 152 23 175 29 161 23 178 26.5 174 26 179.4 28.3 162 23.2 180 25.4

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

I just found out how many of each height or foot length there are and picked the most frequent Height: 149, 155, 158, 162, 163 Foot length: 24 The range is the difference between the biggest number and the smallest of each sample Height: 194-119 = 75 Foot length: 33.7-16

1. ## Data Handling - Height and Foot Length

155 152.5 5 762.5 155 < h < 160 157.5 4 630 160 < h < 165 162.5 2 325 TOTALS 30 4465 Mean 4465/30 = 148.8cm Median 30/2 = 15 145 + ((4/8) x 5) = 147.5cm Mode Modal class = 145 < h < 150 Range 162 -

2. ## mayfeild statistics

62 11 Ali Amera 15 1.62 56 11 BrownIsabella 15 1.65 66 11 Dawson Jane Samantha 15 1.70 50 11 Alexander Claire 16 1.60 54 11 Barlow Hanah Mary 16 1.63 44 11 Berry Shelly Laura 16 1.73 64 11 Briggs Sarah Louise 16 1.63 48 11 Chong Sabrina Kamala

1. ## Maths Coursework - Statistics

H? The range of armspan and head height in the first year will be larger than in the fifth year. Ho The range of armspan and head height in the first year will not be larger than in the fifth year.

2. ## maths statistics coursework

This will then make my investigation fair. Using the random sampling I may find myself with having a majority of males in my investigation, or a large amount of year 7's and very few year 11's. Stratified Sampling "A stratified sample is made up of different 'layers' of the population.

1. ## mayfield statistics

All we do is press the no. of samples there are, then we press shift and Ran# the necessary amount of times, which will give us a random number up to the maximum chosen. When the sample isn't a whole number, we round up as the no.

2. ## To find out if there is a correlation between height and foot length using ...

It then is possible to predict someone's height if their foot length is between 15cm and 29cm. Now, I am going to see how this compares to three pupils in my class. The table below shows the findings. I calculated the predicted height by substituting the pupils' foot length into the equation of the line of best fit.

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