Use the magnitudes? (Richter scale) of the 120120 earthquakes listed in the acco

Question

Use the magnitudes? (Richter scale) of the 120120 earthquakes listed in the accompanying data table. Use technology to find the? range, variance, and standard deviation. If another? value, 8.008.00?, is added to those listed in the data? set, do the measures of variation change? much? 3.33 2.45 2.56 2.44 2.76 2.39 2.2 2.39 1.89 1.44 2.84 1.75 2.01 2.35 2.33 2.72 4.73 2.86 3.41 2.67 2.79 3.42 3.95 3 3.88 3.43 3.12 2.94 2.69 3.6 2.83 2.38 3.03 3.2 2.6 3.59 3.23 2.7 2.34 2.44 2.79 3.94 2.49 2.9 2.95 3.45 2.29 2.56 2.93 3.16 2.21 1.14 1.92 4.02 2.53 2.82 2.38 2.33 1.51 2.77 1.95 1.6 2.42 2.35 2.07 1.55 3.22 1.49 1.84 2.56 1.64 2.37 2.43 2.1 2.21 2.79 2 2.83 2.39 2.7 1.68 2.89 1.83 1.99 1.84 2.54 1.98 2.14 3.64 1.52 3.19 2.48 1.86 1.49 2.75 3.28 3.86 2.77 2.42 2.74 2.52 1.61 2.17 3.02 2.35 1.48 1.93 2.32 2.7 1.41 1.39 1.81 2.25 2.31 2.48 1.76 2.38 2.43 2.47 2.44

Explanation / Answer

using R ctechnolgy

magnitude <- c(3.33,2.45,2.56,2.44,2.76,2.39,2.2,2.39,1.89,1.44,2.84,1.75,2.01,2.35,2.33,2.72,4.73,2.86,3.41,2.67,2.79,3.42,3.95,3,3.88,3.43,3.12,2.94,2.69,3.6,2.83,2.38,3.03,3.2,2.6,3.59,3.23,2.7,2.34,2.44,2.79,3.94,2.49,2.9,2.95,3.45,2.29,2.56,2.93,3.16,2.21,1.14,1.92,4.02,2.53,2.82,2.38,2.33,1.51,2.77,1.95,1.6,2.42,2.35,2.07,1.55,3.22,1.49,1.84,2.56,1.64,2.37,2.43,2.1,2.21,2.79,2,2.83,2.39,2.7,1.68,2.89,1.83,1.99,1.84,2.54,1.98,2.14,3.64,1.52,3.19,2.48,1.86,1.49,2.75,3.28,3.86,2.77,2.42,2.74,2.52,1.61,2.17,3.02,2.35,1.48,1.93,2.32,2.7,1.41,1.39,1.81,2.25,2.31,2.48,1.76,2.38,2.43,2.47,2.44)
range(magnitude)

var(magnitude)
sd(magnitude)

Range=max-min=4.73-1.14

= 3.59

variance= 0.4272908

std deviation=0.6536748

Now add 8 to the data and rename as magnitude1

magnitude1 <- c(3.33,2.45,2.56,2.44,2.76,2.39,2.2,2.39,1.89,1.44,2.84,1.75,2.01,2.35,2.33,2.72,4.73,2.86,3.41,2.67,2.79,3.42,3.95,3,3.88,3.43,3.12,2.94,2.69,3.6,2.83,2.38,3.03,3.2,2.6,3.59,3.23,2.7,2.34,2.44,2.79,3.94,2.49,2.9,2.95,3.45,2.29,2.56,2.93,3.16,2.21,1.14,1.92,4.02,2.53,2.82,2.38,2.33,1.51,2.77,1.95,1.6,2.42,2.35,2.07,1.55,3.22,1.49,1.84,2.56,1.64,2.37,2.43,2.1,2.21,2.79,2,2.83,2.39,2.7,1.68,2.89,1.83,1.99,1.84,2.54,1.98,2.14,3.64,1.52,3.19,2.48,1.86,1.49,2.75,3.28,3.86,2.77,2.42,2.74,2.52,1.61,2.17,3.02,2.35,1.48,1.93,2.32,2.7,1.41,1.39,1.81,2.25,2.31,2.48,1.76,2.38,
2.43,2.47,2.44,8)

range(magnitude1)
var(magnitude1)
sd(magnitude1)

range= 8.00- 1.14=6.86

variance= 0.6719151

sd=0.8197043

the measures of variation change because of outliers.

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