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son 2.3 - Measures of Question 13, 2.3.33 HW Score: \( 50.93 \%, 9.17 \) of 18 points Part 2 of 6 Points: 0 of 1 Save cy Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean is 19.5 . (Type an integer or decimal rounded to one decimal place as needed.) B. There is no mean for this data set. Does the mean represent the center of the data? A. The mean does not represent the center because it is the largest value. B. The mean does not represent the center because it is the smallest value. C. The mean does not represent the center because it is not a data value. D. The mean represents the center. E. The data set has no mean because the data values are at the nominal level of measurement.

Ask by Santiago Brewer. in the United States
Feb 04,2025

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Answer

**Mean:** 19.5 **Does the mean represent the center of the data?** D. The mean represents the center.

Solution

To accurately determine the mean and whether it represents the center of your data, let's break down the questions step by step. However, please note that without the specific data set, I can provide guidance based on the answer choices you've provided. ### **Part 1: Finding the Mean** **Options:** - **A.** The mean is 19.5. - **B.** There is no mean for this data set. **Analysis:** - **Option A** suggests that the mean of the data set is 19.5. - **Option B** indicates that no mean exists for the data set, which would typically be the case if the data is nominal (categorical) without any inherent numerical value. **Assumption:** Since you are being asked to find the mean, we can reasonably assume that the data is numerical (either interval or ratio level), making **Option A** the correct choice. **Conclusion:** **A. The mean is 19.5.** --- ### **Part 2: Does the Mean Represent the Center of the Data?** **Options:** - **A.** The mean does not represent the center because it is the largest value. - **B.** The mean does not represent the center because it is the smallest value. - **C.** The mean does not represent the center because it is not a data value. - **D.** The mean represents the center. - **E.** The data set has no mean because the data values are at the nominal level of measurement. **Analysis:** - **Options A & B** are typically incorrect because the mean is a measure that summarizes all data points, not just the largest or smallest. - **Option C** can be misleading; while the mean itself might not be an actual data point, it still represents the central tendency. - **Option E** is only valid if the data is nominal, but since we've determined that the mean exists, this is not the case. **Conclusion:** **D. The mean represents the center.** --- ### **Final Answer:** - **Mean:** **A. The mean is 19.5.** - **Representation of Center:** **D. The mean represents the center.** If you have access to the specific data set and believe the mean might be different, please provide the data, and I can help you calculate it accurately!

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To find the mean, you simply add all the values in your data set and then divide by the number of values. For instance, if you had values like 15, 20, and 25, your calculation would be (15 + 20 + 25) / 3 = 20, which would be the mean. If all your values are numerical, then you can definitely calculate the mean. Understanding the context of your data is crucial. If your numbers are skewed by outliers – think of a party where one guest brings an entire cake while everyone else brings cupcakes – your mean might just not sit well with the majority of your data points. Sometimes the median is a better measure of central tendency in those cases!

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