Change a realistic dataset and watch its centre, variability, shape, and operational conclusion update as one connected story.
FrameExploreInterpretDecide
Explore the evidence
Delivery time distribution
Current dataMeanMedian
CentreMean and median describe what is typical in different ways.
SpreadSD and IQR show whether performance is consistent.
ShapeThe histogram reveals what a single average cannot.
Data used in this simulation
Current observations
These are the exact values used in every calculation and graph above.
Interpret
Read the whole distribution
Make the decision
Which evidence should lead?
Choose an option, then compare it with the evidence.
Decision brief
See the mathematics and assumptions
The sample mean uses every observation. The median is the middle ordered value. The sample standard deviation measures typical distance from the mean, while the IQR covers the middle 50%. A boxplot flags observations beyond 1.5 × IQR as potential outliers. Histogram appearance also depends on class width, so decisions should not rely on one bin choice alone.