The following table shows the estimated populations of the 1

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. Calculate the 60th percentile for the data. Calculate the 20th percentile for the data. Calculate the 85th percentile for the data.

Solution

a)

60% of 12 = 0.60*12 = 7.2

Rounding up + 1, we need the 9th smallest entry.

Hence,

60th percentile = 2.10 [ANSWER]

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b)

20% of 12 = 0.20*12 = 2.4

Rounding up + 1, we need the 4th smallest entry.

Hence,

60th percentile = 1.20 [ANSWER]

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c)

85% of 12 = 0.85*12 = 10.2

Rounding up + 1, we need the 12th smallest entry.

Hence,

85th percentile = 8.18 [ANSWER]

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Hi! There are many methods to get percentiles, so if you use another method, please resubmit this question indicating what method you use in class. That way we can continue helping you! Thanks!