Use the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set.
Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier (data value that is very far away from the others) when considered in the context of the sample data given in this data set? Explain.
Find the mean and median of the data set using a calculator or similar data analysis technology.
2.53 1.33 0.64 2.55 0.67 0.57 1.61 0.69 2.06 1.84
2.01 2.74 1.98 0.99 1.01 2.59 1.52 1.41 1.53 0.92
0.14 1.15 0.01 2.02 0.81 1.48 0.08 1.16 0.74 0.24
1.77 2.74 0.35 0.65 2.77 1.04 0.01 2.31 1.62 2.91
2.77 2.41 1.45 2.06 2.66 1.73 1.58 0.82 2.03 1.78
Find the mean and median of the data set using a calculator or similar data analysis technology.
2.53 1.33 0.64 2.55 0.67 0.57 1.61 0.69 2.06 1.84
2.01 2.74 1.98 0.99 1.01 2.59 1.52 1.41 1.53 0.92
0.14 1.15 0.01 2.02 0.81 1.48 0.08 1.16 0.74 0.24
1.77 2.74 0.35 0.65 2.77 1.04 0.01 2.31 1.62 2.91
2.77 2.41 1.45 2.06 2.66 1.73 1.58 0.82 2.03 1.78
2 answers:
Answer:
Step-by-step explanation:
When sorted, your data are:
0.01, 0.01, 0.08, 0.14, 0.24, 0.35, 0.57, 0.64, 0.65, 0.67, 0.69, 0.74, 0.81
0.82, 0.92, 0.99, 1.01, 1.04, 1.15, 1.16, 1.33, 1.41, 1.45, 1.48, 1.52
1.53, 1.58, 1.61, 1.62, 1.73, 1.77, 1.78, 1.84, 1.98, 2.01, 2.02, 2.03, 2.06
2.06, 2.31, 2.41, 2.53, 2.55, 2.59, 2.66, 2.74, 2.74, 2.77, 2.77, 2.91
I entered the data into a statistical and box plot generator.
The results were:
mean = 1.49
Median = 1.52
Q1 = 0.81
Q2 = 1.525
Q3 = 2.06
IQR = 1.25
One test for an outlier is if the value is greater than the upper fence: Q3 + 1.5IQR.
The box-and-whisker plot shows that a value of 7.0 is well above the upper fence (in red).
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