Difficult Correlation Problem

#1
Hello all,
I was hoping I could have some advice on the following;
I am trying to show a correlation between data;
I have 45 individual data values that range from 4.07 to 6.79. The range of this data is 2.69 but the distribution is random.
I am trying to show how the initial number correlates to a percentage change in correctly identifying a word from 1 time point (t2) to another (t4).
I have tried representing this by working out the mean of the lowest 15 numbers, the middle 15 numbers and the highest 15 numbers. I have then worked out the mean percentage change for the lowest 15 data vales and so on.
I have then plotted the data on a bar graph with the 3 categories on the x axis and percentage change on the y axis.

My worry is that as the data is distributed randomly this is very inaccurate and would I just be better off plotting all 45 data sets on a scatter graph.
Is there a better way of representing and analysis this data.

Many thanks for your help.
 

Karabiner

TS Contributor
#2
I am trying to show how the initial number correlates to a percentage change in correctly identifying a word from 1 time point (t2) to another (t4).
So you have 45 different numbers, and they start with 4, 5, and 6, respectively,
and you want to analyse whether e.g. those with a "4" differ with regard to
percentage change from those with "5" and "6"?

With kind regards

Karabiner