I need help with Richter Scale please. Use the magnitudes? (Richter scale) of th

Question

I need help with Richter Scale please.

Use the magnitudes? (Richter scale) of the earthquakes listed in the data set below. Use technology to find the? range, variance, and standard deviation.

1.71
1.62
1.43
2.18
1.85
0.03
1.81
0.38
0.81
1.12
0.61
0.18
0.22
1.68
1.34
2.93
0.19
2.16
0.86
2.89
2.62
0.62
0.09
1.15
2.52
0.83
0.43
0.85
1.03
1.57
1.13
1.83
2.05
0.05
1.26
2.26
0.51
2.68
1.06
0.59
0.11
1.32
1.51
1.96
2.39
2.93
2.62
2.22
0.83
1.49

IT'S ASKING FOR:

THE RANGE OF DATA SET:___

THE VARIANCE, S^2 of the data set:______

standard deviation, s, of the data set:_______

thank you

Explanation / Answer

Here' the answer with formulae and explanation. Please don't hesitate to give a "thumbs rule" if you're satisfied with the answer. Have a good day ahead!

The range is difference between max and min value in this range.

Max = 2.93
Min = .03

So, range is 2.93 - .03 = 2.90

Variance is average sum of deviations from mean.

The mean is 1.3702

So, variance is basically : (1.71-1.3702)^2 + ..+ (1.49-1.3702)^2 / 50 -1 = 0.8577 ( please note that we have been asked to calculate S^2 or the Sample deviation , hence the denominator is N-1 and not N)

Standard deviation is basically sqaure root of variance = sqrt(.8577) = .9261

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