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: Understand Standard Deviation

Standard deviation measures the spread of data from the mean. Data with values more spread out has a larger standard deviation.

Step2: Analyze First Dot Plot

The first dot plot has data clustered at 0 and 20, with one dot in the middle. The values are far from each other, so it has a large spread.

Step3: Analyze Second Dot Plot

The second dot plot has data clustered around the middle (with a peak there) and some dots at the ends. The data is more concentrated in the middle, so the spread is smaller than the first.

Step4: Analyze Third Dot Plot

The third dot plot has data at 0, some in the middle, and at 20. The spread is between the first and second: more spread than the second (since it has dots at 0 and 20) but less than the first (since it has more dots in the middle).

Step5: Order by Standard Deviation

From largest to smallest spread (standard deviation): First plot, Third plot, Second plot.

Answer:

1. First dot plot (clustered at 0, 20, one middle)
2. Third dot plot (clustered at 0, 20, three middle)
3. Second dot plot (clustered at middle, one at ends)