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what is a key reason the normal curve is important in statistics?
it is the only type of distribution found in nature
it proves that all data is evenly distributed
it forms the basis for many inferential statistical methods
it is always symmetrical and never changes shape
The normal curve is fundamental in inferential statistics for hypothesis - testing, confidence intervals, etc. There are other distributions in nature like the Poisson distribution. Data is not always evenly distributed. The normal curve's shape can change with different means and standard deviations. Its symmetry is a property but not the key reason for its importance in statistics.
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It forms the basis for many inferential statistical methods