Q1. Considering the grades of two high school students: Tom and Mary. If we do not normalize their grades, the Euclidean distance between them_______.

	History	Math	Science	Writing
Tom	90	85	90	4
Mary	85	95	100	9

Q2. Consider the grades of two high school students: Tom and Mary. The range of History/Math/Science grade is 0-100, while the range of Writing grade is 0-10. If we normalize their grades according to their respective range, the Euclidean distance between them______.

	History	Math	Science	Writing
Tom	90	85	90	4
Mary	85	95	100	9

Q3. Consider profiles of two loan applicants. All attributes: Employed, Balance, and Age, are categorical attributes. The distance between Joe and Jane______.

	Employed	Balance	Age
Joe	Yes	50K	40
Jane	No	50K	40

Q4. Consider profiles of two customers. Age ranges from 10 to 90 and shopping amount ranges from $10 to $9000. The distance between Jack and Rose______.

	Gender	Age	Shopping Amount	VIP Card Holder
Jack	Male	32	$3,500	Yes
Rose	Female	20	$500	No

Q5. Given four customers with all categorical attributes and pairwise distances between them are summarized in the table below. Questions 5-8 are onhierarchical clusteringand they are based on the table.

	Alice	Bob	Dory	Kelly
Alice	0	1	5	5
Bob	1	0	2	6
Dory	5	2	0	3
Kelly	5	6	3	0

Q5.1 Customers Alice and ___________ are merged first.

Q5.2 The distance between clusters {Alice, Bob} and {Dory} is ______.

Q5.3 The distance between {Alice, Bob} and {Kelly, Dory} is ______.

Q5.4 The distance between {Alice, Bob, Kelley} and {Dory} is ______.

Q6. The following table summarizes pairwise distances between objects in {A1, A2, A3, A4, A5, A6, A7, A8}. Questions 9-11 are onK-means clusteringand they are based on the table.