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, 8.00, is added to those listed in the data​ set, do the measures of variation change much?3.272.452.542.432.752.372.192.421.911.432.851.731.992.322.332.704.742.873.382.722.833.423.952.993.873.473.082.942.703.602.842.373.033.232.593.643.242.662.352.432.813.952.522.922.983.412.272.562.933.162.201.151.934.002.542.832.352.311.522.801.951.602.452.332.081.553.201.491.812.551.662.352.452.082.192.752.002.792.392.671.692.881.841.991.862.561.972.183.671.553.162.461.881.502.793.283.822.752.452.712.541.642.183.032.361.481.922.322.651.411.391.802.242.302.481.732.402.442.482.44

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Asked Feb 24, 2019
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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, 8.00, is added to those listed in the data set, do the measures of variation change much?

3.27
2.45
2.54
2.43
2.75
2.37
2.19
2.42
1.91
1.43
2.85
1.73
1.99
2.32
2.33
2.70
4.74
2.87
3.38
2.72
2.83
3.42
3.95
2.99
3.87
3.47
3.08
2.94
2.70
3.60
2.84
2.37
3.03
3.23
2.59
3.64
3.24
2.66
2.35
2.43
2.81
3.95
2.52
2.92
2.98
3.41
2.27
2.56
2.93
3.16
2.20
1.15
1.93
4.00
2.54
2.83
2.35
2.31
1.52
2.80
1.95
1.60
2.45
2.33
2.08
1.55
3.20
1.49
1.81
2.55
1.66
2.35
2.45
2.08
2.19
2.75
2.00
2.79
2.39
2.67
1.69
2.88
1.84
1.99
1.86
2.56
1.97
2.18
3.67
1.55
3.16
2.46
1.88
1.50
2.79
3.28
3.82
2.75
2.45
2.71
2.54
1.64
2.18
3.03
2.36
1.48
1.92
2.32
2.65
1.41
1.39
1.80
2.24
2.30
2.48
1.73
2.40
2.44
2.48
2.44

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Expert Answer

Step 1

Here given the data of magnitudes of 120 earthquakes. need to find the range variance and standard deviation.

Here it is mentioned to use technology. So we can either use a calculator or excel.  Let us use Excel here.

First enter all data in excel sheet in a column. Now sort the data from smallest to largest. Select the complete data and under tab Home in Editing select sort from smallest to largest.

Range = maximum value - minimum value = 4.74 - 1.15 = 3.59

Step 2

Now to find the variance press (=) in a cell and type function Var. Then select all 120 data points and close the brackets and press enter. You can see the Variance = 0.425551.

The standard deviation c...

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