\( \equiv 1 \) 2 3 4 Traveler Spending The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Round your answers to two decimal places. \[ \begin{array}{llllllllllll} 20.9 & 33.1 & 21.8 & 58.5 & 23.5 & 110.9 & 30.4 & 24.9 & 74.1 & 60.3 & 40.4 & 45.4 \end{array} \] Send data to Excel Part 1 of 3 Find the range. The range is 90.00 . Part 2 of 3 Find the variance. The variance is \( \square \) Correct Answer: The variance is 724.17 . Part: \( 2 / 3 \) Part 3 of 3 Find the standard deviation. The standard deviation is \( \square \) .

To find the **standard deviation** for the given traveler spending data, follow these steps: ### Given Data: \[ 20.9,\ 33.1,\ 21.8,\ 58.5,\ 23.5,\ 110.9,\ 30.4,\ 24.9,\ 74.1,\ 60.3,\ 40.4,\ 45.4 \] ### Steps to Calculate Standard Deviation: 1. **Calculate the Variance:** You've already computed the variance as: \[ \text{Variance} = 724.17 \] 2. **Compute the Standard Deviation:** The standard deviation is the square root of the variance. \[ \text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{724.17} \] Calculating the square root: \[ \sqrt{724.17} \approx 26.91 \] ### **Final Answer:** The standard deviation is **26.91**.