Total Population Of 150 Students example essay topic
567 words
The title of my investigation is 'The Average student'. I am going to investigate into whether the students in my year (11) are normally distributed. I have chosen to investigate into this topic because we were required by this subject to produce a piece of coursework assignment, so we decided this would be easiest and most feasible. This leaves me with the predicament of trying measuring certain people in my year group.
Are the people in my year at completely different ends of the scale or are they round about equal. To determine a population for my course-work, I am going to go to each form and then measure people's height and shoes size. My year compromises of 5 forms. Each form contains roughly 30 students giving a total population of 150 students. Obviously this population is far too vast, so I what I propose to do is to number each student in a form and then I will ask someone who hasn't seen the number configuration to pick a random number.
I then match up the numbers with the corresponding students and select 10 students from each form, 5 boys and 5 girls. I will therefore end up with a sample of 50 students, fulfilling the criteria of a sample of at least 50 items of single variable data. To ensure that my sample of students is as accurate as possible, I have cross-referenced my data with that of other students carrying out the same task. They have confirmed that these are the correct measurements, my cross-referencing will not affect my mathematics skills as my skills will be used on the data, no matter what the data is.
On this page I have included results that I calculated with the help of a spreadsheet application (Microsoft Excel). I can then later compare my own calculated results with those shown below. I have decided to pair the boys and girls off on separate charts I have done the process of Standard deviation Girls: Mean Height 165.4 Standard Deviation 28.15296373 1st Quartile 103.75 Median 117.5 3rd Quartile 129.25 Mean Shoe size 5.6 Standard Deviation 28.15296373 1st Quartile 103.75 Median 117.5 3rd Quartile 129.25 Boys: Mean 120.1346154 Standard Deviation 28.15296373 1st Quartile 103.75 Median 117.5 3rd Quartile 129.25 To get a visual idea of the spread of my data, I decided to represent it in a stem and leaf diagram: 70 7 80 8 0 1 5 90 1 2 4 5 3 7 10110 1 7 4 5 4 4 8 12130 0 6 9 0 140 7 8 150 6 160 7 4 2 170 180 1 6 190 200 210 3 N = 52 156 6 represents 156 mins. Stem and Leaf diagram showing the total duration of a sample of 52 films (sorted) As you can se from the above diagram o The shortest film has a duration of 77 mins, and the longest is 213 mins long o Most films are in the group 120-130 mins. I have now decided to construct a frequency table so that I can draw a cumulative frequency graph, which will enable me to draw a box and whisker plot, and therefore visually see any or all outliers in my data.
Here follows my table: Class Frequency Cumulative Frequency 70 =
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