Question

Use the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set. Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier (data value that is very far away from the others) when considered in the context of the sample data given in this data set? Explain. EEB Click the icon to view the earthquake Richter scale data. Find the mean and median of the data set using a calculator or similar data analysis technology. The mean of the data set is Round to three decimal places as needed.) More Info 2.69 1.17 2.32 2.68 0.68 0.58 1.54 1.33 0.87 0.18 2.52 1.52 0.75 1.76 1.12 1.35 1.13 1.83 1.02 1.81 .66 1.41 0.47 0.54 1.12 1.14 1.85 1.92 0.23 1.71 2.79 2.25 2.46 1.11 0.15 2.68 2.58 1.75 2.96 1.19 0.49 1.92 0.08 1.73 2.71 0.42 2.98 1.95 2.62 0.25

Answer 1

sorted data

X
0.08
0.15
0.18
0.23
0.25
0.42
0.47
0.49
0.54
0.58
0.68
0.75
0.87
1.02
1.11
1.12
1.12
1.13
1.14
1.17
1.19
1.33
1.35
1.41
1.52
1.54
1.66
1.71
1.73
1.75
1.76
1.81
1.83
1.85
1.92
1.92
1.95
2.25
2.32
2.46
2.52
2.58
2.62
2.68
2.68
2.69
2.71
2.79
2.96
2.98

	X
total sum	75.97
n	50

mean =    ΣX/n =    1.5194
Median=0.5(n+1)th value =    25.5 th value = (1.52+1.54)/2
=   1.53