For Exercises 51 through 54 , you should use the following definition of an outlier: An outlier is any data value that is above the third quartile by more than 1.5 times the IQR [Outlier> Q 3 + l.5(IQR)] or below the first quartile by more than 1.5 times the IQR [Outlier < Q 1 − 1.5 (IQR)]. (Note: There is no one universally agreed upon definition of an outlier; this is but one of several definitions used by statisticians.) The distribution of the heights (in inches) of 18-year-old U.S. males has first quartile Q 1 = 67 in. and third quartile Q 3 = 71 in. Using the preceding definition, determine which heights correspond to outliers. For Exercises 51 through 54 , you should use the following definition of an outlier: An outlier is any data value that is above the third quartile by more than 1.5 times the IQR [Outlier> Q 3 + l.5(IQR)] or below the first quartile by more than 1.5 times the IQR [Outlier < Q 1 − 1.5 (IQR)]. (Note: There is no one universally agreed upon definition of an outlier; this is but one of several definitions used by statisticians.) The distribution of the heights (in inches) of 18-year-old U.S. males has first quartile Q 1 = 67 in. and third quartile Q 3 = 71 in. Using the preceding definition, determine which heights correspond to outliers.
For Exercises 51 through 54 , you should use the following definition of an outlier: An outlier is any data value that is above the third quartile by more than 1.5 times the IQR [Outlier> Q 3 + l.5(IQR)] or below the first quartile by more than 1.5 times the IQR [Outlier < Q 1 − 1.5 (IQR)]. (Note: There is no one universally agreed upon definition of an outlier; this is but one of several definitions used by statisticians.) The distribution of the heights (in inches) of 18-year-old U.S. males has first quartile Q 1 = 67 in. and third quartile Q 3 = 71 in. Using the preceding definition, determine which heights correspond to outliers. For Exercises 51 through 54 , you should use the following definition of an outlier: An outlier is any data value that is above the third quartile by more than 1.5 times the IQR [Outlier> Q 3 + l.5(IQR)] or below the first quartile by more than 1.5 times the IQR [Outlier < Q 1 − 1.5 (IQR)]. (Note: There is no one universally agreed upon definition of an outlier; this is but one of several definitions used by statisticians.) The distribution of the heights (in inches) of 18-year-old U.S. males has first quartile Q 1 = 67 in. and third quartile Q 3 = 71 in. Using the preceding definition, determine which heights correspond to outliers.
Solution Summary: The author explains that an outlier is any data value that is above the third quartile by more than 1.5 times the IQR Outlier.
For Exercises 51 through 54, you should use the following definition of an outlier: An outlier is any data value that is above the third quartile by more than 1.5 times the IQR [Outlier>
Q
3
+ l.5(IQR)] or below the first quartile by more than 1.5 times the IQR [Outlier <
Q
1
−
1.5
(IQR)]. (Note: There is no one universally agreed upon definition of an outlier; this is but one of several definitions used by statisticians.)
The distribution of the heights (in inches) of 18-year-old U.S. males has first quartile
Q
1
=
67
in. and third quartile
Q
3
=
71
in. Using the preceding definition, determine which heights correspond to outliers.
For Exercises 51 through 54, you should use the following definition of an outlier: An outlier is any data value that is above the third quartile by more than 1.5 times the IQR [Outlier>
Q
3
+ l.5(IQR)] or below the first quartile by more than 1.5 times the IQR [Outlier <
Q
1
−
1.5
(IQR)]. (Note: There is no one universally agreed upon definition of an outlier; this is but one of several definitions used by statisticians.)
The distribution of the heights (in inches) of 18-year-old U.S. males has first quartile
Q
1
=
67
in. and third quartile
Q
3
=
71
in. Using the preceding definition, determine which heights correspond to outliers.
Give an example of a graph with at least 3 vertices that has exactly 2 automorphisms(one of which is necessarily the identity automorphism). Prove that your example iscorrect.
3. [10 marks]
Let Go (Vo, Eo) and G₁
=
(V1, E1) be two graphs that
⚫ have at least 2 vertices each,
⚫are disjoint (i.e., Von V₁ = 0),
⚫ and are both Eulerian.
Consider connecting Go and G₁ by adding a set of new edges F, where each new edge
has one end in Vo and the other end in V₁.
(a) Is it possible to add a set of edges F of the form (x, y) with x € Vo and y = V₁ so
that the resulting graph (VUV₁, Eo UE₁ UF) is Eulerian?
(b) If so, what is the size of the smallest possible F?
Prove that your answers are correct.
Let T be a tree. Prove that if T has a vertex of degree k, then T has at least k leaves.
Chapter 15 Solutions
Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
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