# Math

I can't figure out this question in my math book. What would be a reasonable answer???:

Why is it important to measure variability in a data set?

I don't understand my homework,is about round numbers,prime factorizations,and large problems and is to harder to me.

Well, consider these 2 sets
S=(5,5,5,5)
T=(14,1,2,3)
They both have the same average, 5, but look how much the members of T vary from each other compared with those of S. Just looking at the average is not useful without knowing how much variance there is in a set of data.
Does this help to explain the importance of knowing about variability in data sets?

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