select the dot plot with the greatest variability.\na.\nb.\nc.\nd.

Explanation:

Step1: Recall variability concept

Variability in a dot - plot is related to the spread of data points. A greater spread means greater variability.

Step2: Examine each dot - plot

For dot - plot A, data is clustered around 7 - 9. For dot - plot B, data is clustered around 6 - 10. For dot - plot C, data is clustered around 52 - 58. For dot - plot D, data is more spread out from a lower value to a higher value compared to A, B and C.

Answer:

D.