Question
Times Spent in Rush-Hour Traffic A sample of 9 drivers shows the time that they spent (in minutes) stopped in rushhour traffic on a specific snowy day last winter. Round your answers to one decimal place. \( \begin{array}{lllllllll}52 & 71 & 63 & 58 & 70 & 47 & 65 & 54 & 56\end{array} \) Send data to Excel Part 1 of 3 Find the range. The range is \( \square \) 24.0 . Alternate Answer: The range is 24 . Part 2 of 3 Find the variance. The variance is 67.8 . Part: 2 / 3 Part 3 of 3 Find the standard deviation. The standard deviation is \( \square \) .
Ask by Hampton Ball. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The standard deviation is 8.2.
Solution
To find the **standard deviation** for the given data set, we'll use the variance you've already calculated.
### Given:
- **Variance** = 67.8
### Standard Deviation Calculation:
The standard deviation is the square root of the variance.
\[
\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{67.8} \approx 8.2
\]
### **Answer:**
The standard deviation is **8.2**.
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Simplify this solution Beyond the Answer
To find the standard deviation, you first need to calculate the variance, which you've done as 67.8. The standard deviation is simply the square root of the variance. So, taking the square root of 67.8 gives you the standard deviation, which is approximately 8.2 when rounded to one decimal place. Therefore, the standard deviation is 8.2. Now you've got the full picture of the central tendency of those drivers stuck in snowy rush-hour traffic! Who knew traffic data could be this thrilling? Buckle up and enjoy the ride of statistics!
