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Particle Size Distribution 
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#1
Apr1714, 01:13 AM

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What is the relationship between the Frequency Distribution, Cumulative Distribution and Particle Size?



#2
Apr2014, 02:50 AM

Sci Advisor
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P: 1,917

Frequency distribution and cumulative distribution are statistical concepts.
You have a sample of particles that range from a minimum to a maximum size. You perform a sieve analysis so as to sort or classify them into size ranges. See; http://en.wikipedia.org/wiki/Sieve_analysis You then weigh the particles in each class, (size range), and record that data. By converting the weight falling in each size class to a percentage of the total you eliminate sample size variation. If you tabulate or plot that data as a bar graph against size class you will have a frequency distribution. Different grinding or transport mechanisms have characteristically different frequency distributions. The comparison of graphed frequency distributions is quick and easy. If you then compute a running total over the frequency distribution data, you will generate a cumulative frequency distribution, it starts at zero and finally reaches 100%. From that you can quickly identify what proportion of the mass of particles is above or below a particular size. 


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