Round all to 3 decimal places a. find range WITHOUT the extra value b. find stan

Question

Round all to 3 decimal places

a. find range WITHOUT the extra value

b. find standard deviation WITHOUT the extra value

c. find variance WITHOUT the extra value

d. find range WITH the extra value

e. find standard deviation WITH the extra value

f. find variance WITH the extra value

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, 7.50, is added to those listed in the data set, do the measures of variation change much? E Click the icon to view the table of magnitudes Magnitudes 3.27 2.82 2.80 1.97 1.67 2.55 2.44 3.42 3.94 1.61 2.88 1.62 2.55 3.99 2.49 2.42 1.83 2.18 2.45 2.98 2.91 2.34 1.98 3.04 2.80 3.85 2.932.09 1.82 2.33 2.40 3.44 3.41 1.552.55 1.48 2.22 3.11 2.26 3.21 1.96 1.92 2.41 2.96 2.57 1.49 2.15 2.33 1.92 2.72 2.88 1.83 3.61 2.69 1.44 3.62 3.14 2.57 1.54 1.42 2.85 2.86 2.19 1.65 3.171.39 1.74 2.39 1.15 2.35 2.48 1.80 1.98 3.01 1.95 2.41 1.89 2.22 2.33 3.22 3.98 2.08 1.50 2.29 2.33 2.59 2.58 2.20 2.77 2.45 2.70 3.65 2.84 2.76 3.28 1.75 4.73 3.25 2.38 1.99 3.86 2.38 2.87 2.66 2.30 2.79 2.80 2.43 3.43 2.33 1.50 2.40 2.45 2.47 2.72 2.43 2.79 2.65 2.71 2.41

Explanation / Answer

Solution: I used MS Excel to find all the values.

Solution(a): The range WITHOUT the extra value = 3.58

Solution(b): The standard deviation WITHOUT the extra value = 0.653

Solution(c): The variance WITHOUT the extra value = 0.426

Solution(d): The range WITH the extra value = 6.35

Solution(e): The standard deviation WITH the extra value = 0.792

Solution(f): The variance WITH the extra value = 0.628

Yes, as compare to the values in the dataset the measure of variation changed

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