The given data set shows the distance traveled, in miles, by customers to a bookstore event to meet their favorite author. \( 40,35,44,90,23,25,28,35 \) Which data value is considered an outlier? Enter the answer in the box.

To determine which data value is an outlier in the given dataset: **Dataset:** \[ 40, 35, 44, 90, 23, 25, 28, 35 \] **Steps to Identify the Outlier Using the Interquartile Range (IQR) Method:** 1. **Arrange the Data in Ascending Order:** \[ 23, 25, 28, 35, 35, 40, 44, 90 \] 2. **Calculate the First Quartile (Q1) and Third Quartile (Q3):** - **Q1:** Median of the first half \[23, 25, 28, 35\] \( Q1 = \frac{25 + 28}{2} = 26.5 \) - **Q3:** Median of the second half \[35, 40, 44, 90\] \( Q3 = \frac{40 + 44}{2} = 42 \) 3. **Determine the Interquartile Range (IQR):** \[ IQR = Q3 - Q1 = 42 - 26.5 = 15.5 \] 4. **Calculate the Upper and Lower Fences:** - **Lower Fence:** \( Q1 - 1.5 \times IQR = 26.5 - (1.5 \times 15.5) = 26.5 - 23.25 = 3.25 \) - **Upper Fence:** \( Q3 + 1.5 \times IQR = 42 + (1.5 \times 15.5) = 42 + 23.25 = 65.25 \) 5. **Identify Outliers:** - Any data point **below** the lower fence (\< 3.25) or **above** the upper fence (\> 65.25) is considered an outlier. Reviewing the sorted dataset: \[ 23, 25, 28, 35, 35, 40, 44, 90 \] - **90** is the only value **above** the upper fence of 65.25. **Conclusion:** **90** is the outlier in the given dataset. **Answer:** 90