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Visual Guides/Data Distributions in Context
Data & Analysis

Data Distributions in Context

You plotted a histogram of a real column. Now what? Read five realistic columns the way a practitioner does: name the shape, infer the process that generated it, and predict what it will break downstream.

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Response times
Heights
Sensor readings
Daily returns
Log scale used
Quiz 0/4

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The histogram is your first interview with the data

Before any model, a histogram answers one question: what process generated this column? Skew points to multiplicative processes. Twin peaks mean two populations are hiding in one column. A tail that refuses to fade means rare extreme events dominate your averages. An isolated spike is usually a bug wearing a data costume. And a wall of zeros means two different behaviors got mixed. The mathematics of the named distributions behind these shapes lives in the Data Distributions statistics guide; this one is about reading shapes in the wild and knowing the consequences.

How this playground stays honest: all five columns are generated once with seeded generators (400 rows each), so they are identical on every visit. Every histogram, mean, median, percentile, and skewness value on this page is computed live from those rows. Nothing is faked.

order_amount · n = 400 · USD

One month of e-commerce order values. Most orders are small; a minority are large.

0295887$2.68 to $22: 113 rows$22 to $42: 108 rows$42 to $62: 77 rows$62 to $81: 32 rows$81 to $101: 23 rows$101 to $120: 12 rows$120 to $140: 6 rows$140 to $160: 11 rows$160 to $179: 4 rows$179 to $199: 5 rows$199 to $219: 3 rows$219 to $238: 1 rows$238 to $258: 2 rows$258 to $277: 0 rows$277 to $297: 0 rows$297 to $317: 1 rows$317 to $336: 0 rows$336 to $356: 0 rows$356 to $376: 0 rows$376 to $395: 0 rows$395 to $415: 1 rows$415 to $434: 0 rows$434 to $454: 0 rows$454 to $474: 1 rowsmeanmedian$2.68$120$238$356$474

Diagnosis

Read the histogram first. What shape do you see, and what process could have generated it? Then run the diagnosis to check your read against the computed statistics.

Your Mission

  1. Open all five columns and run the diagnosis on each
  2. Use the log10 toggle on a skewed column and watch the shape change
  3. Reveal the hidden groups behind the two-peaked Heights column
  4. Score at least 3 of 4 in the shape-matching exercise below

Shape-Matching Exercise

Four fresh columns, no context, no mean or median lines. Diagnose each from shape alone. Get at least 3 of 4 right.

0 / 4 correct

Mystery column 1

0918273634.5 to 36.6: 1 rows36.6 to 38.7: 0 rows38.7 to 40.8: 1 rows40.8 to 42.9: 8 rows42.9 to 45: 8 rows45 to 47.1: 21 rows47.1 to 49.2: 19 rows49.2 to 51.3: 20 rows51.3 to 53.4: 36 rows53.4 to 55.5: 28 rows55.5 to 57.6: 29 rows57.6 to 59.7: 20 rows59.7 to 61.8: 6 rows61.8 to 64: 3 rows64 to 66.1: 4 rows66.1 to 68.2: 5 rows68.2 to 70.3: 10 rows70.3 to 72.4: 8 rows72.4 to 74.5: 24 rows74.5 to 76.6: 27 rows76.6 to 78.7: 23 rows78.7 to 80.8: 35 rows80.8 to 82.9: 18 rows82.9 to 85: 18 rows85 to 87.1: 15 rows87.1 to 89.2: 8 rows89.2 to 91.3: 2 rows91.3 to 93.4: 3 rows34.549.26478.793.4

Mystery column 2

03570105-99 to -93.2: 37 rows-93.2 to -87.4: 0 rows-87.4 to -81.6: 0 rows-81.6 to -75.8: 0 rows-75.8 to -70: 0 rows-70 to -64.2: 0 rows-64.2 to -58.4: 0 rows-58.4 to -52.6: 0 rows-52.6 to -46.8: 0 rows-46.8 to -41: 0 rows-41 to -35.2: 0 rows-35.2 to -29.4: 0 rows-29.4 to -23.6: 0 rows-23.6 to -17.7: 0 rows-17.7 to -11.9: 0 rows-11.9 to -6.1: 0 rows-6.1 to -0.3: 0 rows-0.3 to 5.5: 0 rows5.5 to 11.3: 0 rows11.3 to 17.1: 0 rows17.1 to 22.9: 0 rows22.9 to 28.7: 1 rows28.7 to 34.5: 3 rows34.5 to 40.3: 41 rows40.3 to 46.1: 95 rows46.1 to 51.9: 137 rows51.9 to 57.7: 67 rows57.7 to 63.5: 19 rows-99-58.4-17.722.963.5

Mystery column 3

0641281920 to 0.5: 254 rows0.5 to 0.9: 0 rows0.9 to 1.4: 2 rows1.4 to 1.9: 0 rows1.9 to 2.3: 15 rows2.3 to 2.8: 0 rows2.8 to 3.3: 28 rows3.3 to 3.7: 0 rows3.7 to 4.2: 25 rows4.2 to 4.6: 0 rows4.6 to 5.1: 25 rows5.1 to 5.6: 0 rows5.6 to 6: 10 rows6 to 6.5: 0 rows6.5 to 7: 0 rows7 to 7.4: 16 rows7.4 to 7.9: 0 rows7.9 to 8.4: 12 rows8.4 to 8.8: 0 rows8.8 to 9.3: 7 rows9.3 to 9.8: 0 rows9.8 to 10.2: 3 rows10.2 to 10.7: 0 rows10.7 to 11.1: 1 rows11.1 to 11.6: 0 rows11.6 to 12.1: 1 rows12.1 to 12.5: 0 rows12.5 to 13: 1 rows03.36.59.813

Mystery column 4

02244661 to 7.6: 26 rows7.6 to 14.3: 85 rows14.3 to 20.9: 81 rows20.9 to 27.6: 71 rows27.6 to 34.2: 53 rows34.2 to 40.9: 34 rows40.9 to 47.5: 17 rows47.5 to 54.2: 14 rows54.2 to 60.8: 6 rows60.8 to 67.5: 3 rows67.5 to 74.1: 3 rows74.1 to 80.8: 0 rows80.8 to 87.4: 3 rows87.4 to 94.1: 1 rows94.1 to 101: 1 rows101 to 107: 1 rows107 to 114: 0 rows114 to 121: 0 rows121 to 127: 0 rows127 to 134: 0 rows134 to 141: 0 rows141 to 147: 0 rows147 to 154: 0 rows154 to 161: 0 rows161 to 167: 0 rows167 to 174: 0 rows174 to 180: 0 rows180 to 187: 1 rows147.594.1141187
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