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

To determine the outliers in the given dataset, we'll use the method where a data value is considered an outlier if it is either more than **2 standard deviations** above or below the mean. **Given:** - **Mean (μ)** = 29.76 - **Standard Deviation (σ)** = 4.59 **Calculations:** 1. **Lower Threshold:** \[ \text{Lower Limit} = \mu - 2\sigma = 29.76 - 2(4.59) = 29.76 - 9.18 = 20.58 \] 2. **Upper Threshold:** \[ \text{Upper Limit} = \mu + 2\sigma = 29.76 + 2(4.59) = 29.76 + 9.18 = 38.94 \] **Identify Outliers:** - **Lower Outliers:** Values **below 20.58** - **Upper Outliers:** Values **above 38.94** **Dataset Analysis:** \[ 22, 23, 23, 23, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, \\ 27, 27, 27, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 30, 31, \\ 31, 31, 31, 31, 31, 32, 32, 32, 32, 32, 33, 33, 34, 36, 36, \\ 37, 37, 39, 40, 43 \] - **Lower Outliers:** The smallest value is **22**, which is **above 20.58**, so **no lower outliers**. - **Upper Outliers:** Values **39, 40, 43** are **above 38.94**. **Conclusion:** The outliers in this dataset are **39, 40, and 43**. **Correct Answer:** 39, 40, 43