Compare weight and height.
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Plan I am going to compare weight and height I will choose a random sample of 50% of all the people in year 11 this will be a mixture of 85 boys and girls. I have chosen a random sample because then the results will be fair. I will get the random sample by using the RND button on the calculator. To do this press 2ndf, RND x 100. then with the resulting number find the corresponding number on the Mayfield data. I have chosen height and weight because I think that there will be a very strong relationship. I will look at the people in year 11 because there will be a larger difference in height and weight than if I used the data in year 7, and so my results will be better and easier to use. My hypothesis is that the higher weight then the taller the person will be. The data Below is the random sample of 85 boys and girls in year 11. Some of the data was missing in the sample this could have been because it was missed by mistake when being typed or because the person may not have given that information in to the typist. If I did come across missing data I would just ignore it. Year Group Surname Forename Gender Height (m) Weight (kg)
55 11 Oliver Marcus Male 1.57 49 11 Paul Niel Male 1.72 64 11 Peckeleka Chantel Female 1.56 38 11 Peterson Louise Female 1.65 54 11 Powers Alan Male 1.57 54 11 Ratty Louise Female 1.65 59 11 Robinson Luke Male 2.06 84 11 Shaheen Molandar Male 1.63 59 11 Singh Norman Male 1.51 38 11 Skeely Jenifer Female 1.60 66 11 Small Peter Male 2 60 11 Smithers David Male 1.78 37 11 Spangle Timothy Male 1.65 45 11 Stevenson Sarah Female 1.59 45 11 Tazmer Leigh Female 1.76 56 11 Thompson Kamara Female 1.71 42 11 Thomson Jade Female 1.52 48 11 Turner Louise Female 1.60 55 11 Ward Alexander Female 1.70 54 11 Warwick Emma Female 1.69 50 The first thing that I am going to do with the data is put it in tally charts. This will show me where the majority height and weight lies, which will allow me to draw bar charts afterwards. I will do this twice once for height and once for weight. As you can see below I have grouped the data into class intervals. I have chosen a class interval of 10 so that I have a sufficient number of intervals. This tally chart shows the heights of a mixture of 85 boys and girls from year 11 Height (m) Tally Frequency 1.30-1.40 / 1 1.40-1.50 0 1.50-1.60 //// //// //// / 16 1.60-1.70 //// //// //// //// //// //// //// /// 38 1.70-1.80 //// ////
I think that these points are wrong because the typist typed them wrong. Cumulative Frequency Cumulative frequency tells you how often a particular result was obtained. Below are the cumulative frequency tables for height and weight of a mixture of 85 boys and girls in year 11. Weight (kg) Frequency Cumulative Frequency 30-40 6 6 41-50 25 31 51-60 36 67 61-70 9 76 71-80 5 81 81-90 2 83 91-100 1 84 This table does not add up to 85 because I had to ignore one of the pieces of data because it was incorrect and did not make sense. Height (m) Frequency Cumulative Frequency 1.30-1.40 1 1 1.41-1.50 0 1 1.51-1.60 16 17 1.61-1.70 38 55 1.71-1.80 20 75 1.81-1.90 4 79 1.91-2.00 5 84 2.01-2.10 1 85 I can now draw cumulative frequency graphs Below is the cumulative frequency graph for the weight of pupils in year 11. Below is the cumulative frequency graph for the height of pupils in year 11. Conclusion I have come to the conclusion that the taller the person the heavier they are. This is shown because the correlation of the scatter graph which has both height and weight on it is positive this means that as height increases so does weight. For example one of the pupils was 1.52 meters tall and he weighed 45 kg and a pupil who was 1.7 meters weighed 56 kg. Paul Gallagher 11HY
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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