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Monte

Solve

Type in the numbers from any problem and every question you could be asked shows up with the work. Tap New problem to practice on paper first, then Show answers.

11. Describe data

Paste a list. Mean, median, mode, range, variance, SD, with the work written out step by step.

  1. Sorted (n = 9)25, 25, 25, 29, 32, 36, 38, 41, 44Sort first. Median and mode fall out.
  2. Mean x bar32.7778Σx / n = 295 / 9
  3. Median32Middle value, position 5
  4. Mode25Shows up 3 times.
  5. Range1944 − 25
  6. Deviations from x bar-0.7778, -7.7778, 8.2222, -7.7778, 5.2222, -3.7778, 11.2222, -7.7778, 3.2222They add to 0, which checks the mean.
  7. Squared deviations, Σ427.55560.6049 + 60.4938 + 67.6049 + 60.4938 + 27.2716 + 14.2716 + 125.9383 + 60.4938 + 10.3827
  8. Sample variance s²53.4444427.5556 / 8. Sample, so divide by n − 1.
  9. Sample SD s7.3106√53.4444
  10. Shortcut check53.4444[Σx² − (Σx)²/n] / (n − 1) = (10,097 − 9669.4444) / 8
  11. If the question says population47.5062 and σ = 6.8925Divide by n = 9 instead.
  12. Mean vs medianMean above median: pulled rightThe mean chases the tail; the median does not move.