AI Grounds
Open AI Grounds on a desktop
These interactive lessons need a larger screen. Please continue on a desktop or laptop computer.
AI Grounds
These interactive lessons need a larger screen. Please continue on a desktop or laptop computer.
Guided discovery
Move one point. Read the shape before choosing a summary.
12 fixed points + movable M. Each bar counts values in a 10-unit interval.
Intervals include their left endpoint; only 90–100 also includes 100.
| Interval | Count | Contains M |
|---|---|---|
| 0 ≤ value < 10 | 0 | No |
| 10 ≤ value < 20 | 3 | No |
| 20 ≤ value < 30 | 3 | No |
| 30 ≤ value < 40 | 3 | No |
| 40 ≤ value < 50 | 1 | No |
| 50 ≤ value < 60 | 1 | No |
| 60 ≤ value < 70 | 1 | No |
| 70 ≤ value < 80 | 0 | No |
| 80 ≤ value < 90 | 0 | No |
| 90 ≤ value ≤ 100 | 1 | Yes |
Drag M to change its value. The other 12 points stay fixed.
Focus a dot and use arrow keys. Shift moves by 10; Home / End moves to 0 / 100.
Sorted values: 12, 16, 18, 21, 24, 27, 30, 34, 39, 45, 53, 62, 94
The line spans the full range. The box spans Q1 to Q3; its inner line marks the median.
Quartiles use medians of the lower and upper halves, excluding the overall median. This min-to-max plot is not a Tukey outlier-whisker plot.
A common screening rule flags values below Q1 − 1.5 × IQR or above Q3 + 1.5 × IQR. It is a reason to investigate, not proof of an error.
Current fences: -24.75 to 93.25. Flagged values: 94. M is a movable point; it is not always flagged.
The average uses every value.
36.5
475 ÷ 13
Start 36.5; change 0
The middle sorted value.
30
7th of 13 sorted values
Start 30; change 0
Distance between the extremes.
82
94 − 12
Start 82; change 0
Spread of the middle half.
29.5
49 − 19.5
Start 29.5; change 0
Start uses the same 13 points with M = 94. Read tails and clusters from the histogram and values; a mean–median gap alone cannot prove skew. Robust summaries can still change.
M 94; mean 36.5, median 30, range 82, IQR 29.5.