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 listed 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 (type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Recall range formula

The range of a data - set is given by $Range = \text{Max}-\text{Min}$. We need to find the maximum and minimum values in the data - set of 120 earthquake magnitudes. Since we are using technology (e.g., a statistical software like Excel, R, or a graphing calculator), we input the 120 data values.

Step2: Calculate range

Let $x_{max}$ be the maximum magnitude and $x_{min}$ be the minimum magnitude in the data - set of 120 values. Then $Range=x_{max}-x_{min}$. After using the appropriate technology to find $x_{max}$ and $x_{min}$ from the 120 - value data - set and performing the subtraction, we get the range.

Since the data - set is not provided here, we cannot calculate the exact value. But the general steps for calculating the range are as above.

Answer:

Cannot be determined without the data - set.