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Sampling the States

Analyzing random samples of state areas, presenting histograms, dot plots, summary statistics, and percentiles to understand the distribution and characteristics of the data.

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Sampling the States

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  1. Sampling the States Problem 4.105, p. 190

  2. Histogram of states areas

  3. Distribution of samples of size n=5

  4. Dot plot of Section A

  5. Summary stats for Section A Descriptive Statistics: a_conv, a_rand Variable Mean SE Mean StDev Minimum Median Maximum a_conv 69449 3709 19626 42089 64560 112629 a_rand 57851 2370 12083 33480 60232 75993

  6. Dot plot of Section J

  7. Summary stats for Section J • Descriptive Statistics: j_conv, j_rand • Variable Mean SE Mean StDev Minimum Median Maximum • j_conv 63521 2534 13408 42171 62677 89598 • j_rand 64772 3525 18653 31052 62705 101354

  8. Combined dot plot of random samples

  9. Histograms of samples (common scale)

  10. Summary stats - combined Descriptive Statistics: aj_rand Variable Mean SE Mean StDev Minimum Median Maximum aj_rand 61439 2187 16072 31052 62240 101354

  11. 10k experiments histogram

  12. Estimated percentiles • 10k experiments : median (avg 5000 & 5001 score) : 64932 • Real mean is 64996 • Section A : 57,851 is 268 / 10,000 or about 2.68 percentile • Section J : 64,772 is 4814 / 10,000 or about 48.14 percentile

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