Samples are variable. If you take two (or three) separate samples from the same

Question

Samples are variable. If you take two (or three) separate samples from the same population, the samples will be different from one another because they will contain different individuals, attributes, and sample means. As a result, using different samples to predict population parameters will result in different estimates of those parameters For example, the following image shows a population of 100 people of different ethnicities based on data from the U.S. Census Bureau 2010 for the United States Total Population Sample 1 Sample 2 Sample 3 1 2 3 45 6 78 9 10 11 12 13 14 1516 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 3738 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 7778 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 White Hispanic Black Asian a source : Ethnic and gender distributions based on data from the US. Census Bureau, 2010·"State & County Quickfacts: United States." Retrieved August 9, 20 (http://quickfacts.census.gov/qfd/index.html)

Explanation / Answer

Sample 1:

Total number of persons in sample is 10.

Out of 10 observations, 8 are white so percentage of white in sample-1 is

White percentage = (8/10) * 100% = 80%

Out of 10 observations, 1 is Hispanic so percentage of Hispanic in sample-1 is

Hispanic percentage = (1/10) * 100% = 10%

Out of 10 observations, 1 is Black so percentage of Black in sample-1 is

Black percentage = (1/10) * 100% = 10%

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Sample 2:

Total number of persons in sample is 10.

Out of 10 observations, 7 are white so percentage of white in sample-2 is

White percentage = (7/10) * 100% = 70%

Out of 10 observations, 2 is Hispanic so percentage of Hispanic in sample-2 is

Hispanic percentage = (2/10) * 100% = 20%

Out of 10 observations, 1 is Black so percentage of Black in sample-2 is

Black percentage = (1/10) * 100% = 10%

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Sample 3:

Total number of persons in sample is 10.

Out of 10 observations, 6 are white so percentage of white in sample-3 is

White percentage = (6/10) * 100% = 60%

Out of 10 observations, 2 is Hispanic so percentage of Hispanic in sample-3 is

Hispanic percentage = (2/10) * 100% = 20%

Out of 10 observations, 1 is Black so percentage of Black in sample-3 is

Black percentage = (1/10) * 100% = 10%

Out of 10 observations, 1 is Asian so percentage of Asian in sample-3 is

Asian percentage = (1/10) * 100% = 10%

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