12:15 - Progress saved Done $$ \sqrt{0} $$ Question 7 $$ 0 / 5 \mathrm{pts} $$ 100 Details What percentage of the general U.S. population have bachelor's degrees? The Statistical Abstract of the United States, 120th Edition, gives the percentage of bachelor's degrees by state. For convenience, the data are sorted in increasing order. $$ \begin{array}{c} 22,23,23,23,24,25,25,25,26,26,26,26,27,27,27, \ 27,27,27,28,28,29,29,29,29,29,29,29,29,30,31, \ 31,31,31,31,31,32,32,32,32,32,33,33,34,36,36, \ 37,37,39,40,43 \end{array} $$ In this method of identifying outliers, a data value is considered as an outlier if it is either above or below 2 standard deviations. Provided 29.76, 4.59 are mean value and standard deviation of this data set respectively. What are the outliers of this data set? 22, 43 $$ 22,23,40,43 $$ 22, 23 40, 43 39,40,43 Question Help: $$ \triangle $$ Message instructor Submit Question wamap.org

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To determine the outliers in the given data set using the provided mean and standard deviation, follow these steps:

1. **Understand the Criteria for Outliers:**
   - A data point is considered an outlier if it is more than **2 standard deviations** away from the mean.
   
2. **Calculate the Thresholds:**
   - **Mean ($$\mu$$)**: 29.76
   - **Standard Deviation ($$\sigma$$)**: 4.59
   
   - **Lower Threshold**: $$\mu - 2\sigma = 29.76 - 2(4.59) = 29.76 - 9.18 = 20.58$$
   - **Upper Threshold**: $$\mu + 2\sigma = 29.76 + 2(4.59) = 29.76 + 9.18 = 38.94$$

3. **Identify Outliers:**
   - **Below 20.58**: There are no data points below 20.58.
   - **Above 38.94**: The data points **39, 40, 43** exceed 38.94.

4. **Conclusion:**
   - The outliers in the data set are **39, 40, and 43**.

**Answer:**  
39, 40, 43
The outliers are 39, 40, and 43.

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