ates. A one unit increase in magnitude represents ground shaking ten times as strong (an earthquake with magnitude 4 is ten times as strong as an earthquake with magnitude 3). Complete parts (a) through (d) below. Click the icon to view the data on earthquakes. nd the mean, median, range, standard deviation, and quartiles for both the depth and magnitude of the earthquakes. Based on the values of the mean, median, and quartiles conjecture the shape of the distribution for depth and magnit h: u = km; M= km; Range =O km; o = km; Q, = km; Q, =N km integers or decimals rounded to two decimal places as needed.) O Data on Earthquakes depth 2.23 1.76 magnitude 0.57 depth 2.5 2.57 magnitude 0.82 0.93 depth 1.83 45.22 magnitude 0.59 3.39 depth 9.42 9.58 magnitude full data set 1.57 0.99 0.97 1.09 7.46 1.52 2.51 19.93 18.52 6.59 1.59 6.06 2.22 0.9 0.52 0.01 6.51 1.17 5.11 1.38 0.35 1.35 10.86 17.3 19.87 2.34 1.56 1.11 0.68 2.09 1.16 2.71 14.17 1.4 9.39 8.05 1.62 0.87 6.37 349.12 0.76 5.02 0.75 0.8 2.39 15.68 8.58 16.53 3.02 74.9 1.92 2.39 8.79 0.63 1.59 1.5 1.8 6.44 1.79 1.03 1.14 5.13 8.5 2.25 0.19 0.66 1.13 0.39 138.21 5.86 4.27 0.56 514.99 4.29 1.39 3.06 2.69 1.92 1.71 131.46 7.36 2.4 0.75 4.9 8.15 0.84 0.47 0.35 6.82 13.13 10.87 0.1 1.97 0.43 0.99 2.41 5.84 128.65 2.19 3.29 1.33 1.99 2.51 7.03 2.88 0.89 0.9 1.62 33.77 21.37 1.33 1.59 18.52 7.24 15.92 1.58 12.21 1.07 1.02 2.08 1.03 34.94 10.07 4.62 5.5 1.1 210.77 2.88 1.9 10.86 35 0.03 2 1.29 22.66 6.96 1.27 48.34 114.39 23.22 4.36 4.28 0.05 1.19 1.3 1.17 1.7 10.7 14.87 16.32 1.42 1.07 1.11 1.4 1.28 2.6 9.59 8.49 17.21 6.28 0.93 0.89 2.27 6.44 0.62 6.37 4.71
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.
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