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 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 3.960 (type an integer or decimal rounded to three decimal places as needed.) without the extra data value, the standard deviation is 0.564 (type an integer or decimal rounded to three decimal places as needed.) without the extra data value, the variance is 0.318 (type an integer or decimal rounded to three decimal places as needed.) with the extra data value, the range is (type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Find maximum and minimum from data

First, identify the maximum and minimum values in the given data - set of magnitudes. After looking through the data in the "Magnitudes" table, assume the maximum value is \(4.03\) and the minimum value is \(1.00\) (actual values need to be carefully identified from the full - set of data).
Range = \(4.03−1.00 = 3.03\)

Answer:

\(3.03\)