Question

Please help with these questions.
5. (12 points) The United States Geological Survey is conducting a study to predict the magnitude of earthquakes based on the depth of the fault below the surface. The magnitudes of several earthquakes (as measured on the Richter scale) were recorded as part of this analysis, and the data is listed below. 7.1 7.7 5.9 6.7 6.9 8.2 2.1 6.8 4.0 6.5 6.7 3.8 5.6 (a) Find the median and quartiles of the data set. (b) Using the quartiles, determine if there are any outliers in the data set. (c) Sketch a boxplot of the data set.

Answer 1

- CH (13+,c 38bs.to.sof 4 obs: 3ra sbs.) Page No.: Solution - Given, 7.7. 6.7, 6.9 6.8, 4, 3.87.1, 5.9.8.2, 2.1, 6.5, 6.7 5.6. Arrange the data in ascending order. 2.1 3.8, 4, 5.6, 5.9 6.5 6.7 6.7 6.8 6.9, 71, 77, 8.2 a) median th NH observation th 7th obs. 67 i median - th observation # th H obs. 4 obs. th th - 607) zitte ( 3.5th 4 + 0.50(s. 6 - 9 4.8.iltre

th 93 3 obs. 10.5 obs 10 sbs. +0.50 (1 obs. - 101h obs.) 6.9+ Oiso ( 71-6:9) 03 7 TOR = Q3 - Q 4.8 2.2 There exist outlier if the value is greater than Q3 +1.5 (IQR) of less than Q1-1.5(IQR) Q,-1.5(ZOR) - 4.8-1:5(2-29 7:5 Q3 +1.5(IQR) 7+1.5/2.2) 10.3 There is set. any suflies exist in data

Boxplot is F8 - Pop given by, noizzoros 22 4 5 6 78 9 10 zrel