# Statistics Coursework.

Sarah Gupta 10RTR                10.1.4 SLN

Statistics Coursework

Hypothesis: If you do well in Key Stage 2, you do well in Key Stage 3.

More able pupils improve more than less able.

I think my hypothesis is true because on average more able pupils have a greater willing to learn because they believe they are better at Maths whereas less able pupils think they will never catch up and therefore don’t try as hard.

This has also been shown in previous investigations I have done.

Also if you get a good SAT’s level you are really pleased with yourself and determined to carry on doing well so therefore you work harder. However, if you don’t do well in KS 2 you don’t bother trying as hard.

Data Collection: My data is the results of tests of the whole of year 10. I will be using the SAT’s levels as the main source for my investigation. I collected my data using random sampling because after having looked at stratified sampling I decided it wasn’t the best choice as the sets all have around the same number of people. Also, random sampling will be better as it will be easier to avoid bias, because with stratified you may end up selecting all the pupils who have improved the most even if you don’t really mean to. To select the random people I filtered the data in excel by selecting first the males from every set, and then the females. Then, using the random function on my calculator, I selected 2 boys and 2 girls from each set. I thought this would be a good number because it reflects the whole year group.

Altogether I have 52 pupils for my investigation: 2 boys and 2 girls from each set out of the 13 sets. This gives a fair representation of both sexes. I used the same number of boys and girls, because there is roughly around the same number of boys and girls in the year group and this helps reflect the whole year group better.

To choose which of the pupils were more able and which were less, I took the top six sets and counted them as more able, then I took the bottom six sets and counted them as less able. I was then left with one in the middle. For this one, I split the set in two and used one boy and one girl to be more-able and the other two to be less.

Plan: To investigate and prove my hypothesis I plan to:

• Use the decimalised levels as ...