Interactive Dot Diagram(with Illustration of Mean, Median)
Use the slider to increase or reduce the number of values in the set of data values
Drag the green triangles △ on the horizontal axis to change the values in the data set.
Use the checkboxes to show the mean median or modal values and their positions.
Instructions
1. Move the slider to add 1 more value to the set of values. There should be 6 values now.
2. Move the green △
3. Move the green △ so that this new value becomes very large. This value is now very far right from the rest, and is called an extreme value of the data set.
4. What is the effect of the outlier(extreme value) on:
a. Mean
b. Median
c. Mode
5. Repeat step 3 above, but this time, make the value become very small. This value is now a very far left extreme value
6. Again, what is the effect of the outlier (extreme value) on:
a. Mean
b. Median
c. Mode
7. Can you explain in your own words why extreme values affect one more than the other ? Which is most affected?