Question
\( \equiv 1 \) 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 \( \square \) .
Ask by Peterson Blake. in the United States
Jan 23,2025
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Answer
The standard deviation is 26.91.
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Mind Expander
To find the standard deviation, you simply take the square root of the variance. Since we've already established that the variance is 724.17, we do the math: \[ \text{Standard Deviation} = \sqrt{724.17} \approx 26.92 \] So, the standard deviation is approximately 26.92. When dealing with data sets, a common mistake is to forget to square the differences from the mean when calculating variance. Remember, you’re measuring the average of those squared differences, not just a simple average! Keeping an eye out for these details can save you from going off track.
