each dot plot below represents a different set of data. order the data sets from largest standard deviation…

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the spread of data. More spread means larger standard deviation.

Step2: Analyze the first dot - plot

The first dot - plot has data points concentrated at 0, 2, 4, 6, 8. The data is evenly spaced but relatively close together.

Step3: Analyze the second dot - plot

The second dot - plot has data points at 6, 8, 8, 8, 10. The data is more spread out compared to the first one as it has a larger range and the values are more dispersed.

Step4: Analyze the third dot - plot

The third dot - plot has data points at 0, 2, 4, 6, 8 which is the same as the first one in terms of the set of values and their spacing.

Step5: Order the data sets

Since the second data set is more spread out than the first and third (which are equally spread in this case), the order from largest to smallest standard deviation is: Second data set, First data set, Third data set.

Answer:

Second data set, First data set, Third data set