Solution Found!
(a) Show that if 5x1, x2, x3, . . . , xN 6 is a data set with mean A and standard
Chapter 15, Problem 77(choose chapter or problem)
(a) Show that if 5x1, x2, x3, . . . , xN 6 is a data set with mean A and standard deviation s, then s1N xi - A for every data value xi. (b) Use (a) to show that every data value is bigger than or equal to A - s1N and smaller than or equal to A + s1N (i.e., for every data value x, A - s1N x A + s1N).
Questions & Answers
QUESTION:
(a) Show that if 5x1, x2, x3, . . . , xN 6 is a data set with mean A and standard deviation s, then s1N xi - A for every data value xi. (b) Use (a) to show that every data value is bigger than or equal to A - s1N and smaller than or equal to A + s1N (i.e., for every data value x, A - s1N x A + s1N).
ANSWER:Step 1 of 5
Suppose that is a data set with mean and standard deviation .
(a) Recall that the standard deviation is given by