To answer the question in the image:

The task is to order the three dot plots from the one with the largest standard deviation to the one with the smallest standard deviation. The standard deviation is a measure of how spread out the data points are. The more spread out, the larger the standard deviation; the more concentrated, the smaller the standard deviation.

Analysis of the Dot Plots:

1. First Dot Plot (Top): The points are somewhat centered, with a spread covering a range from about 1 to 4. There is a bit of clustering in the center.
2. Second Dot Plot (Middle): This plot has most of its points spread out more, especially with a wider gap in the center. The points cover a range from 0 to 5.
3. Third Dot Plot (Bottom): The points are at the far left and right ends, with the widest spread possible between the data points, and a clear gap in the middle.

Ordering by Standard Deviation:

• Largest Standard Deviation: The third (bottom) dot plot has the most spread-out points, so it has the largest standard deviation.
• Second Largest: The second (middle) dot plot is spread out but not as much as the third one.
• Smallest Standard Deviation: The first (top) dot plot has the most clustered data points, so it has the smallest standard deviation.

Final Order:

• Top: Third dot plot (bottom of the image).
• Middle: Second dot plot (middle of the image).
• Bottom: First dot plot (top of the image).

Would you like more details on standard deviation or how to calculate it?

5 Related Questions:

1. How is the standard deviation calculated for a given data set?
2. What is the relationship between variance and standard deviation?
3. Can two data sets have the same mean but different standard deviations?
4. How does the spread of data affect the mean and median?
5. What are other common measures of data spread besides standard deviation?

Tip: Remember, the standard deviation gives you insight into how much the data varies from the mean. The larger the deviation, the more dispersed the data.