Distribution Comparison

You can drag the orange and purple data points to observe the effects on the statistical displays and measures of center.
1. Which set has the larger mean? (Check your thoughts with the Show Means checkbox) When might the "mean" be a deceptive measure of center? 2. Which set is more spread out? What kind of measures can help describe that spread? 3. What information and ideas are conveyed in the normal distribution plot that are not in the boxplot? And vice versa? 4. Drag the points to create two "different" data sets that have the same median. 5. Drag the points to create two "different" data sets that have the same standard deviation.