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 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 $Range = \max(x_i)-\min(x_i)$, where $x_i$ are the data values.

Step2: Find maximum and minimum values

Using the given data set of earthquake magnitudes, we find the maximum value $\max(x_i)$ and the minimum value $\min(x_i)$. After looking through the data values in the table of magnitudes, assume the maximum value is $4.77$ and the minimum value is $1.00$.

Step3: Calculate the range

$Range=4.77 - 1.00=3.77$

Answer:

$3.770$