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

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SUMMARY

The discussion focuses on statistical analysis techniques for comparing two data sets, specifically using standard deviation and calculating the 10th and 90th percentiles. The easiest method to find these percentiles involves identifying the scores that exceed 90% and 10% of the data points, respectively. Additionally, the user seeks guidance on superimposing smooth curves on histograms to visualize data distributions and marking means, along with identifying skewness. The conversation emphasizes practical methods without extensive calculations.

PREREQUISITES
  • Understanding of basic statistics (mean, median, mode)
  • Familiarity with standard deviation calculations
  • Knowledge of percentiles and their significance in data analysis
  • Experience with histogram creation and data visualization techniques
NEXT STEPS
  • Learn how to calculate standard deviation using Excel or Python's NumPy library
  • Research methods for calculating percentiles in statistical software like R or Python
  • Explore techniques for superimposing smooth curves on histograms using tools like Matplotlib or ggplot2
  • Investigate methods for identifying skewness in data distributions using skewness coefficients
USEFUL FOR

Students, data analysts, and anyone involved in statistical analysis who seeks to understand data comparison techniques and visualization methods.

pinnacleprouk
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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.
 

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