The following table shows the estimated populations of the 12 largest U.S. citie
ID: 3022556 • Letter: T
Question
The following table shows the estimated populations of the 12 largest U.S. cities from the 2010 Census. These data can also be found in the Excel file titled city populations.xlsx.
City Population (in millions)
New York, NY 8.18
Los Angeles, CA 3.79
Chicago, IL 2.70
Houston, TX 2.10
Philadelphia, PA 1.53
Phoenix, AZ 1.45
San Antonio, TX 1.33
San Diego, CA 1.31
Dallas, TX 1.20
San Jose, CA 0.95
Jacksonville, FL 0.82
Indianapolis, IN 0.82
a. Calculate the 60th percentile for the data.
b. Calculate the 20th percentile for the data.
c. Calculate the 85th percentile for the data.
Explanation / Answer
a)
60% of 12 = 0.60*12 = 7.2
Hence, rounding up +1, we seek the 9th lowest entry.
Hence,
60th percentile = 2.10 [ANSWER]
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b)
20% of 12 = 0.20*12 = 2.4
Hence, rounding up +1, we seek the 4th lowest entry.
Hence,
20th percentile = 1.20 [ANSWER]
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c)
85% of 12 = 0.85*12 = 10.2
Hence, rounding up +1, we seek the 12th lowest entry.
Hence,
85th percentile = 8.18 [ANSWER]
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Hi! If you use another method in determining percentiles, please resubmit this question, and indicate what method you use for it. That way we can continue helping you! Thanks!
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