Week 4 Assignment Frequency Tables, Classification, Quartile

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Week4 Assignment Total: 25 pts 1. What are the two conceptual strategies for data classification? (3pts) 2. The following table shows the State-level Percentage of People in Poverty Using 3-Year Averages (2015 - 2017). Data is ranked from the lowest to highest. N = 51. Classify the data using three methods: 1) equal interval based on range; 2) equal interval not based on range; and 3) quantile. Write down the frequency table for each of the three methods. (12pts) New Hampshire Maryland Minnesota Colorado Utah Iowa New Jersey Connecticut Nebraska Hawaii Vermont Wisconsin Delaware Massachusetts Washington Virginia North Dakota 6.7 8.2 8.6 8.7 8.8 9.7 9.7 9.9 10.1 10.2 10.2 10.5 10.6 10.6 10.7 10.8 11.0 Wyoming Montana Illinois Missouri Oregon Pennsylvania Idaho Rhode Island Alaska Michigan Indiana Maine Nevada South Dakota New York Ohio California 11.0 11.1 11.3 11.3 11.3 11.5 11.7 11.8 12.1 12.2 12.3 12.3 12.3 12.9 13.2 13.3 13.4 Kansas Tennessee Oklahoma Texas Florida North Carolina South Carolina Arizona District of Columbia Arkansas Georgia Alabama Kentucky West Virginia New Mexico Mississippi Louisiana 13.4 13.7 13.8 14.0 14.3 14.4 14.6 15.5 15.5 15.6 15.6 15.8 16.4 16.6 18.7 19.5 20.0 Frequency Table 1: equal interval based on range Classes Frequency Frequency Table 2: equal interval not based on range Classes Frequency Frequency Table 3: quantile Classes Frequency 3. Consider the following four coordinate pairs and weights Locations A B C D X coordinate 60 45 0 50 Y coordinate 30 45 40 0 Weight 4 5 3 1 a) Calculate the mean center (assume all weights are equal to 1). (2pts) b) Calculate the weighted mean center. (2pts) c) Calculate the standard distance (assume all weights are equal to 1). (2pts) d) Calculate the weighted standard distance. (2pts) e) Calculate the Euclidean distance between A and C. (1pt) f) Calculate the Manhattan distance between B and D. (1pt)
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Name
Instructor's name
Course
Date
Week4 Assignment
What are the two conceptual strategies for data classification? (3pts)

1.
I.

Qualitative classification.

II.
2.

Quantitative classification.
The following table shows the State-level Percentage of People in Poverty Using 3-

Year Averages (2015 - 2017). Data is ranked from the lowest to highest. N = 51. Classify the
data using three methods: 1) equal interval based on range; 2) equal interval not based on
range; and 3) quantile. Write down the frequency table for each of the three methods.
(12pts)
New Hampshire
Maryland
Minnesota
Colorado
Utah
Iowa
New Jersey
Connecticut
Nebraska
Hawaii
Vermont
Wisconsin
Delaware
Massachusetts
Washington
Virginia
North Dakota

6.7
8.2
8.6
8.7
8.8
9.7
9.7
9.9
10.1
10.2
10.2
10.5
10.6
10.6
10.7
10.8
11.0

Wyoming
Montana
Illinois
Missouri
Oregon
Pennsylvania
Idaho
Rhode Island
Alaska
Michigan
Indiana
Maine
Nevada
South Dakota
New York
Ohio
California

11.0
11.1
11.3
11.3
11.3
11.5
11.7
11.8
12.1
12.2
12.3
12.3
12.3
12.9
13.2
13.3
13.4

Kansas
Tennessee
Oklahoma
Texas
Florida
North Carolina
South Carolina
Arizona
District of Columbia
Arkansas
Georgia
Alabama
Kentucky
West Virginia
New Mexico
Mississippi
Louisiana

13.4
13.7
13.8
14.0
14.3
14.4
14.6
15.5
15.5
15.6
15.6
...

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