use the magnitudes (richter scale) of the 120 earthquakes listed in the accompanying data table. use…

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 3.580 (type an integer or decimal rounded to three decimal places as needed.) without the extra data value, the standard deviation is 0.654 (type an integer or decimal rounded to three decimal places as needed.) without the extra data value, the variance is (type an integer or decimal rounded to three decimal places as needed.)
Answer
Explanation:
Step1: Recall the variance - standard deviation relationship
The variance $s^{2}$ is the square of the standard deviation $s$.
Step2: Calculate the variance
Given the standard deviation $s = 0.654$. Then $s^{2}=(0.654)^{2}=0.428$.
Answer:
$0.428$