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numeric distribution is simply the number of items that have that thing divided by he total number of the sample, regardless of size or contribution.

weighted distribution is the number of items that have that thing multiplied by the weight of that thing divided by the total number of the sample.

example in sales

if a group of 100 retailers is the sample, 70 of them are keeping a certain product and the other 30 do not

then the numeric distribution of the product in this group is 70%

if all retailers have the same contribution to the sales to consumers, then the weighted distribution is 70% too

but if those 30 retailers (who do not keep have the product) contribution to the sales to consumers is 60%, then the weighted distribution of the 70 retailers having that product is only 40%

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Q: Difference between weighted and numeric distribution?
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