Mean, median, Mode, standard deviation and 10th and 90th percentiles

AI Thread Summary
To compare two data sets using standard deviations, calculate the standard deviation for each set using the formula that involves the mean and the squared differences from the mean. For the 10th and 90th percentiles, identify the positions in the ordered data set corresponding to these percentiles and find the values at those positions. To superimpose smooth curves on histograms, consider using kernel density estimation or fitting a normal distribution based on your data's mean and standard deviation. Mark the means on the histograms to visualize the data distribution and assess skewness by comparing the mean, median, and mode. This approach will help in effectively analyzing and presenting your data.
pinnacleprouk
Messages
26
Reaction score
0

Homework Statement



I have two sets of data, each with 30 distances and 30 results, I have the mean, median, mode, range etc, I have drawn histograms and cumulative frequency curves, got the IRQ for both sets of data.

Now I need to compare the data using standard deviations and also find the 10th and 90th percentiles, could you explain the EASIEST way to do this without having to write a lot more things down, is there a formula or equation to get both these things.

Also how would I superimpose smooth curves to represent data distributions on the histograms and mark on the means, what data would I use and how would I identify skewness if any.

I just want descriptions on the easiest way to achieve this, I have not provided any numbers/data as i don't want you to do my work for me, rather just to give me the method in which I can do it myself.


Any help is greatly appreciated.

Thanks
 
Physics news on Phys.org
To find the 10th and 90th percentile, use the definition. The score at the 90th percentile means it is higher than 90% of the data; in your case higher than 27 of the data points.
 
Back
Top