Question

use the magnitudes (richter scale) of the 120 earthquakes listed in the accompanying data table. use technology to find the range, variance, and standard deviation. if another value, 7.00, is added to those in the data set, do the measures of variation change much? click the icon to view the table of magnitudes. without the extra data value, the range is 3.580 (type an integer or decimal rounded to three decimal places as needed.) without the extra data value, the standard deviation is (type an integer or decimal rounded to three decimal places as needed.) magnitudes

Explanation:

Step1: Recall standard - deviation formula

The formula for the sample standard deviation $s=\sqrt{\frac{\sum_{i = 1}^{n}(x_{i}-\bar{x})^{2}}{n - 1}}$, where $x_{i}$ are the data - points, $\bar{x}$ is the sample mean, and $n$ is the sample size. We can use statistical software (e.g., Excel, R, Python's NumPy and Sci - Py libraries) to calculate it. Here, we assume using a statistical software like Excel. In Excel, we can use the STDEV.S function.

Step2: Input data into software

Input the 120 earthquake magnitude values from the table into a column in Excel.

Step3: Calculate standard deviation

Use the STDEV.S function in Excel. For example, if the data is in cells A1:A120, we can enter "=STDEV.S(A1:A120)" in another cell.

Answer:

(The actual value will be obtained after performing the above - mentioned operation in the software. Since we don't have the software operation result here, we can't give the exact number. But the process to get the standard deviation is as above.)