Section 1 — What you will learn
✓ By the end you will understand
- Mean as the “balance point” (center of mass).
- Median as the “middle value” after sorting.
- Mode as the “most repeated” value.
- Variance as “average squared distance from mean”.
- Standard deviation as “typical distance from mean”.
- IQR & outliers (boxplot fences) + Z-score.
- How these stats change when you move just one number.
Section 2 — Controls
All modes still show full formulas + visuals.
More points = stats become more stable.
Higher spread makes variance & std dev grow.
Data Science often uses sample variance.
Drag points on the number line (right side).
Tip: In games, small moves = big learning.
Tip: In games, small moves = big learning.
Section 3 — Live stats
Mean (μ)
—
Median
—
Mode
—
Min / Max
—
Range
—
Q1 / Q3 (quartiles)
—
IQR
—
Variance (σ²)
—
Std Dev (σ)
—
Section 4 — Formulas (LIVE)
Watch the math update
Drag a dot → numbers change
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🧠 Kid Coach
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Tip: mean is the balance point.
Section 5 — Statistics World (Drag & Play)
data dots
mean line μ
median line
±1σ band
outlier (IQR rule)
z-score spotlight
Live explanation
Drag dots left/right. Mean (blue) slides like a balance point.
Game HUD
Explore mode: move dots to see the stats dance.
Target progress
No target right now.
Quick actions
+ Dot adds a new number. − Dot removes selected dot.
Center moves everything closer to mean (for learning variance).