# SOLUTION: What would happen to a normal distribution if you change the standard deviation? Please explain your answer in your own words to someone who has never had a course

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: What would happen to a normal distribution if you change the standard deviation? Please explain your answer in your own words to someone who has never had a course       Log On

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 414815: What would happen to a normal distribution if you change the standard deviation? Please explain your answer in your own words to someone who has never had a course in statistics. Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!```The standard deviation is a measure of how much the numbers differ from the mean on the average. The smaller the standard deviation the closer the numbers are together. The larger the standard deviation the more scattered out they are. The mean (or ordinary average) of all three of the following data sets is 50: A. {50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50} B. {45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55) C. {0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100} Data set A has a standard deviation of 0 because the numbers do not differ at all from the mean 50. They are all the same, so the standard deviation is zero because they don't deviate at all from 50. Data set B has a standard deviation of about 3 because the numbers average differing from the mean 50 by about 3. They are close together, so the standard deviation is low. Data set C has a standard deviation of about 30 because the numbers average differing from the mean 50 by about 30. They are scattered out, so the standard deviation is high. Edwin```