The accompanying data contains the depth (in kilometers) and magnitude, measured using the Richter Scale, of all earthquakes in a particular region over the course of a week. Depth is the distance below the surface at which the earthquake originates. A one unit increase in 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. E Click the icon to view the data on earthquakes. (a) Find 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 magnitude. | km; Q, =| km; Q3 = km Depth: µ = km; M = km; Range = (Type integers or decimals rounded to two decimal places as needed.) km; o = %3D |; Range Magnitude: µ = (Type integers or decimals rounded to three decimal places as needed.) M = O = Conjecture the shape of the distribution for depth. Choose the correct answer below. O A. The mean is much smaller than the median and is less than Q,, so the distribution of depth is likely skewed left. O B. The mean is much larger than the median and is greater than Q2, so the distribution of depth is likely skewed left. O C. The mean is much larger than the median and is greater than Qa, so the distribution of depth is likely skewed right. O D. The mean is close to the median, and the distance from Q, to the median is close to the distance from Q, to the median, suggesting the distribution of depth is approximately symmetric. Conjecture the shape of the distribution for magnitude. Choose the correct answer below. O A. The mean is close to the median, and the distance from Q, to the median is close to the distance from Qz to the median, suggesting the distribution of magnitude is approximately symmetric. B. The mean is smaller than the median, and the distance from M to Q3 is less than the distance from Q, to M, which suggests the distribution of magnitude is skewed right.

Trigonometry (MindTap Course List)
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ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter3: Radian Measure
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The accompanying data contains the depth (in kilometers) and magnitude, measured using the Richter Scale, of all earthquakes in a particular region over the course of a week. Depth is the distance below the surface at which the earthquake originates. A one unit increase in
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.
E Click the icon to view the data on earthquakes.
(a) Find 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 magnitude.
| km; Q, =| km; Q3 = km
Depth: µ = km; M = km; Range =
(Type integers or decimals rounded to two decimal places as needed.)
km; o =
%3D
|; Range
Magnitude: µ =
(Type integers or decimals rounded to three decimal places as needed.)
M =
O =
Conjecture the shape of the distribution for depth. Choose the correct answer below.
O A. The mean is much smaller than the median and is less than Q,, so the distribution of depth is likely skewed left.
O B. The mean is much larger than the median and is greater than Q2, so the distribution of depth is likely skewed left.
O C. The mean is much larger than the median and is greater than Qa, so the distribution of depth is likely skewed right.
O D. The mean is close to the median, and the distance from Q, to the median is close to the distance from Q, to the median, suggesting the distribution of depth is approximately symmetric.
Conjecture the shape of the distribution for magnitude. Choose the correct answer below.
O A. The mean is close to the median, and the distance from Q, to the median is close to the distance from Qz to the median, suggesting the distribution of magnitude is approximately symmetric.
B. The mean is smaller than the median, and the distance from M to Q3 is less than the distance from Q, to M, which suggests the distribution of magnitude is skewed right.
Transcribed Image Text:The accompanying data contains the depth (in kilometers) and magnitude, measured using the Richter Scale, of all earthquakes in a particular region over the course of a week. Depth is the distance below the surface at which the earthquake originates. A one unit increase in 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. E Click the icon to view the data on earthquakes. (a) Find 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 magnitude. | km; Q, =| km; Q3 = km Depth: µ = km; M = km; Range = (Type integers or decimals rounded to two decimal places as needed.) km; o = %3D |; Range Magnitude: µ = (Type integers or decimals rounded to three decimal places as needed.) M = O = Conjecture the shape of the distribution for depth. Choose the correct answer below. O A. The mean is much smaller than the median and is less than Q,, so the distribution of depth is likely skewed left. O B. The mean is much larger than the median and is greater than Q2, so the distribution of depth is likely skewed left. O C. The mean is much larger than the median and is greater than Qa, so the distribution of depth is likely skewed right. O D. The mean is close to the median, and the distance from Q, to the median is close to the distance from Q, to the median, suggesting the distribution of depth is approximately symmetric. Conjecture the shape of the distribution for magnitude. Choose the correct answer below. O A. The mean is close to the median, and the distance from Q, to the median is close to the distance from Qz to the median, suggesting the distribution of magnitude is approximately symmetric. B. The mean is smaller than the median, and the distance from M to Q3 is less than the distance from Q, to M, which suggests the distribution of magnitude is skewed right.
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