Question

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?

The table of magnitudes.

3.28
2.45
2.53
2.43
2.77
2.40
2.22
2.41
1.90
1.44
2.84
1.74
1.99
2.36
2.31
2.71
4.67
2.90
3.41
2.73
2.78
3.41
3.95
2.97
3.85
3.48
3.08
2.92
2.71
3.59
2.86
2.35
3.03
3.18
2.58
3.60
3.21
2.68
2.36
2.42
2.81
3.94
2.53
2.89
2.93
3.42
2.27
2.60
2.90
3.13
2.21
1.14
1.94
3.99
2.54
2.79
2.38
2.33
1.49
2.79
1.95
1.59
2.43
2.34
2.09
1.54
3.20
1.49
1.82
2.58
1.65
2.35
2.45
2.08
2.20
2.78
2.00
2.85
2.43
2.70
1.69
2.87
1.84
1.97
1.83
2.51
1.98
2.16
3.69
1.52
3.20
2.46
1.88
1.49
2.78
3.30
3.84
2.78
2.43
2.73
2.51
1.60
2.17
3.04
2.32
1.49
1.91
2.36
2.69
1.42
1.39
1.80
2.22
2.28
2.48
1.74
2.40
2.41
2.50
2.44

Without the extra data? value, the range is

Answer 1

Solution: The range without the extra data value is given below:

  

Standard Deviation

If another value, 8.00 is added to those listed in the data set, do the measures of variation change much?

Answer: Yes, adding 8 to the listed values in the data set will change the measures of variation to great extent.