You find an average of x,y,z,a,b,c. You apply the formula and if the number is low then most of the numbers in the set are going to be close to the average. If it is high then it is going to be more spread out. So if the population standard deviation is 2 and the average is d, then you know that most of the population x,y,z,a,b,c are going to be tight grouped. If it is an SD of 50 for the same mean then you know the population is more spread out. On a graph, the SD of 2 would be flatter while the SD of 50 would have a sharp curve to it.
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