use the magnitudes (richter scale) of the earthquakes listed in the data set below. find the mean and data…

use the magnitudes (richter scale) of the earthquakes listed in the data set below. find the mean and data set. is the magnitude of an earthquake measuring 7.0 on the richter scale an outlier (data value t away from the others) when considered in the context of the sample data given in this data set? explai\n0.76 2.67 0.47 0.07 1.07 0.26 1.97 0.36 0.67 1.75 \n1.17 0.59 2.06 1.89 1.77 2.97 1.79 1.28 1.77 2.62 \n1.61 1.81 2.55 0.68 2.97 2.38 0.25 2.58 0.24 2.95 \n1.76 1.27 2.91 2.63 1.84 0.45 1.51 0.49 0.11 0.81 \n1.75 0.89 2.79 2.02 0.16 1.13 2.85 0.35 1.07 1.96

use the magnitudes (richter scale) of the earthquakes listed in the data set below. find the mean and data set. is the magnitude of an earthquake measuring 7.0 on the richter scale an outlier (data value t away from the others) when considered in the context of the sample data given in this data set? explai\n0.76 2.67 0.47 0.07 1.07 0.26 1.97 0.36 0.67 1.75 \n1.17 0.59 2.06 1.89 1.77 2.97 1.79 1.28 1.77 2.62 \n1.61 1.81 2.55 0.68 2.97 2.38 0.25 2.58 0.24 2.95 \n1.76 1.27 2.91 2.63 1.84 0.45 1.51 0.49 0.11 0.81 \n1.75 0.89 2.79 2.02 0.16 1.13 2.85 0.35 1.07 1.96

Answer

Explanation:

Step1: Calculate the sum of data

Sum all the magnitudes: [0.76 + 2.67+0.47 + 0.07+1.07+0.26+1.97+0.36+0.67+1.75+1.17+0.59+2.06+1.89+1.77+2.97+1.79+1.28+1.77+2.62+1.61+1.81+2.55+0.68+2.97+2.38+0.25+2.58+0.24+2.95+1.76+1.27+2.91+2.63+1.84+0.45+1.51+0.49+0.11+0.81+1.75+0.89+2.79+2.02+0.16+1.13+2.85+0.35+1.07+1.96 = 84.97]

Step2: Calculate the number of data points

Count the number of magnitudes. There are (n = 50) data - points.

Step3: Calculate the mean

The mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}), so (\bar{x}=\frac{84.97}{50}=1.6994)

Step4: Analyze if 7.0 is an outlier

The values in the data - set range from approximately (0.07) to (2.97). A value of (7.0) is much larger than any of the values in the data - set and is far away from the others. So it would be an outlier.

Answer:

The mean is (1.6994). The magnitude of an earthquake measuring (7.0) on the Richter scale is an outlier because it is much larger than all the values in the given data - set.