Question

use the magnitudes (the rich - or scale) of the 120 earthquakes listed in the accompanying data table. use technology to find the range, variance, and standard deviation. if an extra value, 1.50, 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 3.98. (type an integer or decimal rounded to three decimal places as needed.) without the extra data value, the standard deviation is 0.895. (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.)

Explanation:

Step1: Recall variance - standard deviation relationship

The variance $s^{2}$ is the square of the standard - deviation $s$. That is, $s^{2}=s\times s$.

Step2: Calculate the variance

Given that the standard deviation $s = 0.995$ (without the outlier data value). Then the variance $s^{2}=(0.995)^{2}=0.990025\approx0.990$.

Answer:

$0.990$