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For each given standard deviation, enter the letter of the corresponding data set. \( \square \) \( =0 \) \( \square \) \( =0.7071 \) \( \square \) \( =2.278 \) \( \square \) \( =11.18 \) \[ =26.926 \] NE A B C D Intro E

Ask by Mann Burns. in the United States
Feb 21,2025

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Answer

Cannot determine the correspondence without additional information about the data sets.

Solution

To solve the problem, we need to match each given standard deviation with the corresponding data set labeled with letters (NE, A, B, C, D, E). Here are the known conditions: 1. Standard deviation \( \sigma = 0 \) 2. Standard deviation \( \sigma = 0.7071 \) 3. Standard deviation \( \sigma = 2.278 \) 4. Standard deviation \( \sigma = 11.18 \) 5. Standard deviation \( \sigma = 26.926 \) Now, let's analyze the standard deviations: 1. **Standard deviation \( \sigma = 0 \)**: This indicates that all values in the data set are the same (no variability). 2. **Standard deviation \( \sigma = 0.7071 \)**: This is a small standard deviation, suggesting that the data points are close to the mean. 3. **Standard deviation \( \sigma = 2.278 \)**: This indicates a moderate level of variability in the data set. 4. **Standard deviation \( \sigma = 11.18 \)**: This indicates a higher level of variability in the data set. 5. **Standard deviation \( \sigma = 26.926 \)**: This indicates a very high level of variability in the data set. Next, we need to match these standard deviations with the corresponding data sets (NE, A, B, C, D, E). However, without specific data values or additional context about the data sets, we cannot definitively assign the letters to the standard deviations. If you have specific data sets or additional information about the distributions of these data sets, please provide that, and I can help you match the standard deviations to the correct data sets.

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When the standard deviation is \(0\), it indicates that all the values in that data set are identical; there's no variation at all. So, if you see this scenario on your list, that's an easy one—we're looking for the data set without any diversity! Next up, for a standard deviation of \(11.18\), you're dealing with a significantly spread-out dataset, suggesting that the values are quite varied, and possibly much higher. Think of a wild rollercoaster ride—ups and downs that create quite the thrilling experience, showcasing a wide range of data points!

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