Practice Quiz 2

Time:  20 minutes.

For the batch {1, 2} compute the:

  1. Mean.
  2. Five-letter summary.
  3. Standard deviation.
  4. Variance.
  5. Skewness (use the method of moments estimator).
  6. Kurtosis (use the method of moments estimator).
  7. MAD.
  8. Geometric mean.
  9. 25% trimmed mean.

Show your work.

Consider the batches A = {0, 1, -1}, B = {0, 1, 3}, C = {0, 1, 10}, D = {100, 200, 300}, E = {100, 200, 400}, F = {0, 9, 10}, and G = {1000, 1000, 1000}.

  1. Order the batches from least to greatest variance.
  2. Order the batches from least to greatest skewness.
  3. Order the batches from least to greatest kurtosis.

In your ordering, if two or more batches have the same variance (skewness, or kurtosis) then please indicate that.

Scoring: Start with 100.  Subtract 1 for minor errors and trivial mistakes in computation.  Subtract 1 for minor calculation or transcription mistakes, 5 for major blunders, 10 for completely wrong answers.  The passing score is 96.

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