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Mathematics
Center and variability
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Data
- Number of balls:
- 5
- Range:
- 8 m
Drag this ball along the scale
- Number of balls
- 5
- Range
- 8 m
Keep a reference, then move one point to compare the changes.
The mean uses every value. The median depends on the middle position(s) after sorting. One extreme value often shifts the mean more.
Model notes
- Values are integer distances from 1 to 15 m, with at most 30 balls. Only placed data points contribute to the statistics. Move placed data directly to compare distributions; kicking trajectories and random kick distributions are not simulated.
- The quartile convention used here requires at least 5 values, split the sorted data into two halves and exclude the median for odd counts. Other statistical conventions can differ.
- MAD is rounded in this order: each absolute deviation to 0.1 m, their sum to 0.1 m, then their mean to 0.1 m. It may differ from a calculator that rounds only the final answer.
- The initial data set is [4,5,6,7,12]. Vertical stacking and ball size only separate equal values; the horizontal axis is the distance scale.