A study is published with information about ages of people in a particular region. A sample of five residents from the region have the following ages, in years. 50 57 9 30 29

Determine the range of these ages. Range=

a. Find the sample standard deviation of these ages by using the defining formula s equals StartRoot StartFraction Summation from nothing to nothing left parenthesis x Subscript i Baseline minus x overbar right parenthesis squared Over n minus 1 EndFraction EndRoots=∑xi−x2n−1, where n is the sample size and x overbarx s the sample mean.

b. Find the sample standard deviation of these ages by using the computing formula s equals StartRoot StartFraction Summation from nothing to nothing x Subscript i Superscript 2 Baseline minus left parenthesis Summation from nothing to nothing x Subscript i right parenthesis squared divided by n Over n minus 1 EndFraction EndRoots=∑x2i−∑xi2/nn−1,where n is the sample size.

Compare your work in a and b.