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

ID: 2946340 • Letter: U

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

3.31
2.45
2.56
2.42
2.78
2.41
2.19
2.42
1.91
1.44
2.84
1.71
2.00
2.35
2.34
2.72
4.71
2.86
3.37
2.69
2.78
3.46
3.99
3.00
3.84
3.47
3.10
2.94
2.70
3.62
2.85
2.38
3.03
3.23
2.61
3.62
3.22
2.70
2.35
2.43
2.83
3.96
2.53
2.91
2.98
3.45
2.27
2.56
2.90
3.13
2.19
1.13
1.95
4.03
2.58
2.83
2.36
2.29
1.51
2.81
1.94
1.59
2.44
2.36
2.06
1.55
3.22
1.50
1.83
2.54
1.65
2.36
2.42
2.08
2.20
2.76
2.00
2.80
2.41
2.67
1.68
2.88
1.85
2.01
1.83
2.53
1.99
2.18
3.62
1.52
3.19
2.46
1.86
1.48
2.75
3.27
3.83
2.74
2.43
2.71
2.51
1.62
2.17
3.02
2.32
1.49
1.92
2.33
2.66
1.42
1.39
1.81
2.25
2.29
2.46
1.77
2.40
2.43
2.48
2.44

Explanation / Answer

Following table shows the descritive statistics:

The range is: 3.58

The standard deviation is: 0.6537

The variance is: 0.4273

----------------------

After adding 7.50, the descritpve statistics will be:

It shows that all statistics increased.

Descriptive statistics X count 120 mean 2.5198 sample standard deviation 0.6537 sample variance 0.4273 minimum 1.13 maximum 4.71 range 3.58
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