Statistics
Hypotheses
1. The higher the IQ, the higher the average SATs results. There will
be a stronger relationship between the girls’ IQ and SATs results than
the boys’.
2. Boys will have a higher IQ than girls.
3. IQ will increase as age increases.
Plan
I have been given two sheets of containing 100 pieces of data on each.
The data is secondary as I have not collected it myself. One set is
from key stage three and the other from key stage four. The data
includes year group, forename, age, gender, hair colour, eye colour,
favourite type of music, IQ, height, weight, distance between home and
school and SATs results.
I will use a sample of 80 students, because 200 is too time consuming.
A sample of 80 will still give me a reliable answer. I will use a
stratified sample so my sample is in proportion as the full set of
data.
To do the stratified sample I am going to count how many year seven,
eight, nine, ten and eleven students there are on the sheets of data.
I will then divide the total number of year seven students by the
total number of pupils, then times by 80. I will repeat this for the
remaining year groups to complete my stratified sample.
Once I know the amount of students from all the different year groups
I will use a calculator to generate random numbers for my data.
Hypothesis 1
The higher the IQ, the higher the average SATs results. There will be
a stronger relationship between the girls’ IQ and average SATs results
than the boys’.
To prove my first hypothesis I am going to plot IQ against the average
SATs results on a scatter graph. I am doing this to see any
correlati...
... middle of paper ...
...rger than the others. The
highest value is between the two highest values for year eight and
nine.
As I mentioned earlier the values in the year eleven boxplot are
larger. The LQ is about the same as all the other medians, the median
is higher than most of the other upper quartiles and the UQ is larger
than all the others. The highest value is 125, this is the higher than
all the others by at least 4.
Evaluation
Generally, my coursework went quite easily. I didn’t encounter any
problems apart from entering data in to a graphical calculator. I had
to repeat this process a number of times due to missing out data.
If I were to repeat the coursework I would use a larger sample size or
compare data from different schools to make sure my results are
correct for the country or just a few schools in particular.
good. To give you an idea of how well that is, you need to examine the averages.
Therefore if I were to do this study again I would do a pilot study
Questions 5-8. Choose ONE of these constructed responses. Write the number you are responding to.
4) Repeat this same test three time in order to gather and average later on.
2. When you ask someone to participate, explain the basic nature of the study. You
14.23, 14.32, 14.98, 15.00, 15.11, 15.21, 15.42, 15.47, 15.65, 15.74, 15.77, 15.80, 15 .82, 15.87, 15.98, 16.00, 16.02, 16.05, 16.21, 16.21, 16.23, 16.25, 16.31, 16.32, 16.34, 16.46, 16.47, 16.51, 16.91, 16.96
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