# I am going to investigate the relationship between height and weight for both male and females attending Mayfield high school in ks4 and Ks3.

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Introduction

Math's Coursework Aim: I am going to investigate the relationship between height and weight for both male and females attending Mayfield high school in ks4 and Ks3. Introduction: For this investigation I am using the data from a school called Mayfield High School. This is a secondary school consisting of both male and female with an overall population of 1183 students, having 579 girls and 604 boys. This school starts from yr7 up to yr11 and contains a variety of records such as, surname, family name, height, weight, age, IQ, ks3 and ks4 results and so on. The reason I've decided to choose height and weight is because I thought it is most probable to influence each other. I will undertake the average between height and weight for female and male. Out of the 1183 students I will pick 180, 90 boys and 90 girls from Mayfield High School. An important factor is having my data sample and unbiased so I will also collect the data for gender too and than do a random stratified sample which would give me reports from each gender year group, in correlation to their percentage of the school size. After I have gathered the information I will put it all in tallies and frequency tables, which I would than, find the mode, mean, median and range for height and weight. Finally I will put everything into different graphs and tables. I will make sure to do this for each set so that my data collected will be understandable. ...read more.

Middle

Tally Frequency 130h-140 3 20w-30 3 140h-150 8 30w-40 10 150h-160 23 40w-50 18 160h-170 28 50w-60 29 170h-180 18 60w-70 21 180h-190 8 70w-80 8 190h-200 2 80w-90 1 Below is the frequency table of the weight and height of girls: Height (m) Tally Frequency Weight (w) Tally Frequency 130h-140 2 20w-30 0 140h-150 12 30w-40 5 150h-160 18 40w-50 31 160h-170 40 50w-60 44 170h-180 14 60w-70 9 180h-190 4 70w-80 1 190h-200 0 80w-90 0 Graphs to show height and weight: Since the data I have produced is grouped into class intervals I think it would be a good idea to produce and record it into leaf and stem diagrams. The main advantage of this is it would make it easier to read off the median data. I will be using stem leaf diagrams and frequency density tables below: Boys Height: Stem Leaf Frequency 1.3 2,6,6 3 1.4 1,2,2,6,7,7,8,8 8 1.5 0,0,2,2,2,2,2,2,2,4,4,4,4,5,5,5,5,5,5,6,7,8,9 23 1.6 0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,3,3,5,5,5,6,6,6,7,7,7,7,8 28 1.7 0,0,0,1,1,1,1,2,2,2,3,5,5,5,5,5,7,7 18 1.8 0,0,0,1,5,6,8,8 8 1.9 0,1 2 Height and weight are continuous data so I can easily analyze the height of boys the same way as weight, so recording it on a histogram would be a good idea. Histogram of boys height: By drawing frequency polygons on the same graph it can be useful to compare continuous data. Frequency polygon of boys height: Boys weight: Stem Leaf Frequency 20 5,6,6 3 30 2,5,5,6,7,7,8,8,8,8 10 40 0,0,0,0,0,1,1,4,4,4,5,5,5,5,5,8,9,9 18 50 0,0,0,0,0,0,1,1,2,2,2,2,2,2,2,3,6,6,6,6,7,7,7,7,7,7,8,8,9 29 60 0,0,0,0,0,0,0,0,0,0,0,3,4,4,5,6,6,6,8,8,9 21 70 0,0,0,2,3,5,5,7 8 80 2 1 Histogram of boys weight: Again I will draw a frequency ...read more.

Conclusion

You can calculate the percentage of students that will have a height with a given range. For example to find the % of students that will have a height with a given range. For example to find the % of boys who have a height between 150-160 cm. Using cumulative frequency curve we know that in the sample-----boys have a height up to 150 cm and ......boys have a height up to 160cm. So...-....=....boys in between the range 150cm to 160cm. So we can say that..../.... =.....% of boys in the school will have a height between,,,. Next I calculated the standard deviation. Standard deviation is a type of statistic that shows you how closely all the various examples are clustered around the data. It shows how spread out a data is from the mean. Below I have outlined how you can calculate standard deviation: For the value of x (midpoint) of the class interval subtract the overall average x" from x, and then square the result and divide it by the frequency. Add up all the values and than divide that result by the sum of all the frequencies. Finally square root the last number. A formula for this is shown below: Now I will calculate the standard deviation of the boys' height: Standard deviation= Standard deviation for boys' height = Now I will calculate the standard deviation of the girls height. Standard deviation= Standard deviation for girls' height = Now I will calculate the standard deviation of the boys' weight: Standard deviation= Standard deviation for boys' weight= Standard deviation= Standard deviation for girls' weight= ...read more.

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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