1.64 Hispanic population. The US census collects data on race and ethnicity of A
ID: 3351253 • Letter: 1
Question
1.64 Hispanic population. The US census collects data on race and ethnicity of Americans, among many other variables. The histogram below shows the distribution of the percentage of the population that is Hispanic in 3,143 counties in the US in 2010. Also shown is a histogram of logs of these values 250 200 150 100 50 1500 1000 0 20 40 60 80 100 2 0 Hispanic % log(% Hispanic) 20 a) Describe the numerical distribution and comment on why we might want to use log-transformed values in analyzing or modeling these data. (b) What features of the distribution of the Hispanic population in US counties are apparent in the map but not in the histogram? What features are apparent in the histogram but not the map? (c) Is one visualization more appropriate or helpful than the other? Explain your reasoningExplanation / Answer
a) Ans: The percentage of the population that is Hispanic in 3,143 countries in the US in 2010 has a positive skewness. Hence, we might want to use log-transformed value in analyzing or modeling these data for assuming Normal distribution.
b) Ans: The distribution of the percentage of the population that is Hispanic in 3,143 countries is shown on the map with corresponding countries. Whereas, this features of the distribution of the Hispanic population in US countries are not apparent in the histogram and shows only the classical feature of the data such as symmetric, skew and possible type of distribution of the variable.
c) Yes, one visualization is more appropriate or helpful than the other. Because visualization can understand with fast and easily.
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