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  • Level: GCSE
  • Subject: Maths
  • Word count: 1249

Average Student

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Average Student Introduction The aim for this investigation is to find the average student in year 11. Using my knowledge and statistical skills I will be representing, interpreting and presenting data. I will be creating graphs and charts with my data, and then I will be using them to draw up conclusions. For this investigation I have used secondary data and not primary data since it is less time consuming. It is necessary to choose a random sample so that every student has an equal chance of being in the sample, and this must also be achieved without bias. This can be decided using a simple method because the secondary data is in alphabetical order. Therefore, names will have no value or bearing on any of the fields I will be using. So I have decided that I will be using 'systematic sampling'. I have decided on 25 students for each gender, so I have chosen 25 boys and 25 girls which is 50 students altogether, I think that this is a reasonable sample size and it's not too much time consuming since the results will be meaningful. The technique I used to choose my 50 students was to roll a dice and wait for a number between 1 and 4 to appear. ...read more.


Once I have completed sorting the data out, I will be comparing and describing the connection between boys and girls favourite music. Boys: Favourite Music Tally Frequency Rap IIIII III 8 Pop II 2 RnB IIII 4 Hard Rock I 1 Hip Hop II 2 Rock III 3 Classical II 2 Dance I 1 Bollywood II 2 Girls: Favourite Music Tally Frequency Hardcore II 2 Pop IIIII II 7 Garage III 3 RnB IIIII 5 Rap III 3 Heavy Metal I 1 Metal II 2 Dance II 2 Number of Siblings I have decided to present the data for the Number of Siblings each student has. We can understand that this data will be different from other information because it includes numbers instead of certain categories. Boys: Number of Siblings Tally Frequency 1 IIIII IIII 9 2 IIIII 5 3 IIIII I 6 4 II 2 5 I 1 6 I 1 7 I 1 8 0 9 0 10 0 Girls: Number of Siblings Tally Frequency 1 IIIII IIIII I 11 2 IIII 4 3 IIIII 5 4 I 1 5 I 1 6 I 1 7 I 1 8 0 9 0 10 I 1 Height and Weight I will now study further into the continuous data provided. ...read more.


I used many graphs, for instance Bar graphs, cumulative frequency tables and charts, frequency polygons, Pie charts, all which showed me the difference and comparisons between the genders. Firstly I represented the amount of students picked in Pie chart and Bar Chart, which made it easier to locate and read. I selected the students by stratified sampling because as I have chosen to sample the year 11 as a result, the groups need to be fairly represented in the sample. After I have used that I have picked the students randomly for the reason that every member of the population has an equal chance of being selected. The reason why I also chose these types of sampling is because it was fair in addition so I avoided bias by randomly picking them. I used line graph and bar graph to show the comparisons between year 11 boys and girls. Also, the box plots showed me that, boys have a wider range of data in height and weight which tells me that majority of the boys are taller and heavier than the girls, as age increases height and weight increase. Finally as height increase weight increases. I have successfully achieved that. I could have improved in sampling more students so there could have been more of a wider range and I could have showed the comparison and the differences more clearly. ?? ?? ?? ?? ...read more.

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