Intro to Statistics. Please help me with this one. 1. The first four numbers of

Question

Intro to Statistics. Please help me with this one.

1. The first four numbers of a data set with six numbers are 2, 5, 9, and 11. The average of the six numbers is 8, and the square of the standard deviation, (), equals 13. True or False: "It is impossible to determine the values of the two remaining numbers u and u, from the given information alone.". Either way, determine the unknown quantities, or, briefly explain why this cannot be done. DO/SHOW ALL WORK in the workspace, and then write the results (25 Points) where indica [5 Points] The Two Numbers Areand (20 Points

Explanation / Answer

average=8

sum/ttatal=8

2+5+9+11+a+b/6=8

27+a+b=8

a+b=8-27

a+b=-19

b=-19-a

(a-8)^2+(-19-a-8)^2=10

(a-8)^2+(-a-27)^2=10

(a-8)^2+(a+27)^2=10

a^2+64-16a+a^2+729+54a=10

2a^2+38a+783=0

u will get imaginary number hence cannot be done

x xbar x-xbar (x-xbar)^2 2 8 -6 36 5 8 -3 9 9 8 1 1 11 8 3 9 a 8 a-8 b 8 b-8 variance=13 55+(a-8)^2+(b-8)^2/6-1=13 (a-8)^2+(b-8)^2=65-55 (a-8)^2+(b-8)^2=10

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