Question

each dot plot below represents a different set of data. order the data sets from largest standard deviation (top) to smallest standard deviation (bottom).

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures data spread from the mean. More spread means higher standard deviation.

Step2: Analyze first dot - plot

The first dot - plot has all data points at 2. Mean is 2 and there is no spread. So standard deviation is 0.

Step3: Analyze second dot - plot

The second dot - plot has data points more spread out around the mean. There are values at 6, 8 and 10 with some frequency, creating more variability.

Step4: Analyze third dot - plot

The third dot - plot has data points at 0, 2, 4, 6, 8 with equal frequency. It has some spread but less than the second one.

Answer:

Second data set, Third data set, First data set