Answer :
To find the standard deviation, [tex]\(\sigma\)[/tex], of the given data set, you can follow these steps:
1. Understand the Concepts:
- The variance ([tex]\(\sigma^2\)[/tex]) is a measure of how much the data values vary from the mean.
- The standard deviation ([tex]\(\sigma\)[/tex]) is the square root of the variance and represents the average distance of each data point from the mean.
2. Start with the Given Information:
- You have the variance of the data set already provided as 360.3.
3. Calculate the Standard Deviation:
- Since the variance is provided as [tex]\(\sigma^2 = 360.3\)[/tex], the standard deviation is the square root of the variance.
- [tex]\(\sigma = \sqrt{360.3}\)[/tex].
4. Compute the Square Root:
- When you calculate the square root of 360.3, you get approximately 18.98.
So, the standard deviation of the data set is approximately 18.98.
1. Understand the Concepts:
- The variance ([tex]\(\sigma^2\)[/tex]) is a measure of how much the data values vary from the mean.
- The standard deviation ([tex]\(\sigma\)[/tex]) is the square root of the variance and represents the average distance of each data point from the mean.
2. Start with the Given Information:
- You have the variance of the data set already provided as 360.3.
3. Calculate the Standard Deviation:
- Since the variance is provided as [tex]\(\sigma^2 = 360.3\)[/tex], the standard deviation is the square root of the variance.
- [tex]\(\sigma = \sqrt{360.3}\)[/tex].
4. Compute the Square Root:
- When you calculate the square root of 360.3, you get approximately 18.98.
So, the standard deviation of the data set is approximately 18.98.
