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

Explanation:

Step1: Find the maximum and minimum values

First, identify the maximum and minimum values in the data - set of 120 earthquake magnitudes. By looking through the data, the maximum value $x_{max}=4.72$ and the minimum value $x_{min}=1.41$.

Step2: Calculate the range

The formula for the range $R$ of a data - set is $R = x_{max}-x_{min}$. Substitute $x_{max}=4.72$ and $x_{min}=1.41$ into the formula: $R=4.72 - 1.41=3.310$.

Answer:

3.310