Statistic: Is reading age a predictor for future attainment?

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Mariam Hassan                                                              10NWE

Statistic: Is reading age a predictor for future attainment?

In this coursework I am going to investigate if reading age affects future results in KS3 Maths. I am going to consider gender differences. I believe that girls will make more improvement than boys because girls have a higher reading age than boys; I also predict that reading age will not be a predictor for future attainments. In order to collect my data fairly I am going to take a stratified sample because it will randomly select boys and girls, and won’t give me a bias selection.

I am going to collect a random sample by using my calculator and the random button. I pressed in the number of girls and boys (96 for girls, 143 for boys) I then pressed the random button which gave me numbers between 0 and the number of boys and girls which I then take down and draw up a table from it.

I am going to present my data using the following statistical techniques a cumulative frequency diagram so it can show both discrete and continues data. Scatter diagrams, I can use that to show whether two sets of data are related. Box & Whisker plot of reading ages, mode, mean, median, and range, IQR to show me how the data is distributed. I will then do the same for the boys and girls. This will tell me which genders achieving well depending on their reading age.

To summarise the KS3 Maths data I will use Bar charts, Pie charts mean, mode, median, etc.

To find out if reading age and the KS3 Maths data is correlated I will plot a scatter graph, draw the line of best fit, and work out the equation of the line. This will enable me to show the general trend of the relationship between the two sets of data.
I will then do the same for the boys and girls. This will tell me if it has a positive correlation.

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Boys table of Stratified samples:

This is a table of the boys’ results I selected. I will then go on to use this information to make graphs, bar charts and so on. I

Here’s The Girls table of stratified samples.

I have drawn up a table one for the boys and girls showing their reading age and KS3 Maths results. I used random sampling using the calculator. By doing this I entered the amount of student I had to select from. Then pressed the random button, this gave me a random number between 0 and this ...

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