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Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompan

ID: 3351911 • Letter: U

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,

7.00

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

LOADING...

Click the icon to view the table of magnitudes.

Without the extra data value, the range is

nothing.

(Type an integer or decimal rounded to three decimal places as needed.)

3.32

2.45

2.58

2.44

2.80

2.39

2.20

2.42

1.91

1.44

2.83

1.75

1.99

2.36

2.31

2.72

4.72

2.90

3.39

2.67

2.80

3.41

4.00

2.97

3.82

3.45

3.07

2.93

2.73

3.57

2.86

2.36

3.04

3.18

2.60

3.62

3.20

2.68

2.34

2.43

2.83

3.91

2.54

2.91

2.97

3.40

2.27

2.57

2.93

3.14

2.17

1.13

1.95

4.01

2.58

2.84

2.36

2.31

1.51

2.82

1.95

1.59

2.45

2.33

2.09

1.54

3.23

1.49

1.80

2.59

1.68

2.34

2.44

2.09

2.20

2.74

2.01

2.82

2.39

2.67

1.69

2.86

1.82

1.99

1.82

2.57

1.95

2.17

3.64

1.52

3.21

2.46

1.87

1.50

2.79

3.31

3.88

2.76

2.45

2.73

2.50

1.60

2.19

3.04

2.34

1.48

1.90

2.35

2.69

1.41

1.39

1.78

2.23

2.28

2.48

1.77

2.40

2.42

2.50

2.42

Explanation / Answer

Using Excel

Range = Max value _ minimum Value

= MAX() _ MIN()

= 3.59

Variance = VAR( select all value )

=0.4269

Standard deviation= STDEV(select all value )

=0.6534

If another value 7.00 is added to those listed in the data set, do the measures of variation change much?

Variance = VAR(Select All Value )

=0.5893

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