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? 3.30 2.77 2.80 1.96 1.69 2.54 2.43 3.44 3.92 1.58 2.87 1.63 2.56 3.95 2.50 2.44 1.82 2.19 2.44 2.99 2.92 2.35 1.98 3.06 2.78 3.86 2.95 2.07 1.86 2.36 2.37 3.46 3.45 1.54 2.54 1.49 2.22 3.06 2.27 3.20 1.96 1.91 2.40 2.95 2.61 1.49 2.16 2.33 1.91 2.70 2.92 1.80 3.66 2.69 1.43 3.60 3.13 2.56 1.54 1.41 2.83 2.85 2.20 1.68 3.18 1.38 1.73 2.37 1.15 2.35 2.46 1.81 2.01 3.00 1.94 2.42 1.85 2.24 2.35 3.22 3.97 2.10 1.48 2.31 2.31 2.62 2.55 2.20 2.77 2.46 2.69 3.57 2.84 2.75 3.26 1.74 4.72 3.23 2.36 2.00 3.83 2.41 2.88 2.67 2.32 2.80 2.80 2.40 3.41 2.34 1.49 2.41 2.45 2.50 2.73 2.44 2.78 2.65 2.68 2.43 Without the extra data value, the range is 3.573.57. (Type an integer or decimal rounded to three decimal places as needed.) Without the extra data value, the standard deviation is nothing. (Type an integer or decimal rounded to three decimal places as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Use the magnitudes (Richter scale) of the
earthquakes listed in the accompanying data table. Use technology to find the
is added to those listed in the data set, do the measures of variation change much?
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