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Recent articles note that the rate of suicides in the U.S. has been rising. Suic

ID: 3070486 • Letter: R

Question

Recent articles note that the rate of suicides in the U.S. has been rising. Suicide also varies from state to state in any given year. The following data is taken from the CDC for suicide rates (number per 100,000 population) for each state in 2016 (n=50). Please note there are two values for the leaves, so that 2102 represents a rate of 20.2 percent. Use 2 decimal places for your answer Stem and Leaf Plot of the State 2016 Suicide Rate STEM LEAF COUNT 2 52 58 59 0 2 02 05 10 14 14 18 1 82 84 90 93 1 63 68 72 73 77 78 79 1140 42 42 46 47 47 49 54 57 57 59 121 26 27 30 31 32 32 33 33 1 01 05 07 12 15 0 81 88 94 4 2102 represents 20.2 percent Sum(X) Sum(XA2) Count Q1 Q2 03 789.60 13461.68 50.00 12.93 15.15 18.55 What is the variance of the Suicide Rate for the 50 states? O 20.25 O 4.50 O 29.70 269.23

Explanation / Answer

variance = sum(xbar - xi)^2/n
= sum(xi^2)/n - (sum(xi)/n)^2
= 13461.48/50 - (789.6/50)^2
= 20.25

Option A is correct