Automated electron backscattered diffraction is nowbeing used in the study of fracture phenomena. The followinginformation on misorientation angle (degrees)was extracted from the article “Observations on theFaceted Initiation Site in the Dwell-Fatigue TestedTi-6242 Alloy: Crystallographic Orientation and SizeEffects” (Metallurgical and Materials Trans., 2006:1507–1518).Class: 02,5 52,10 102,15 152,20Rel freq: .177 .166 .175 .136Class: 202,30 302,40 402,60 602,90Rel freq: .194 .078 .044 .030a. Is it true that more than 50% of the sampled anglesare smaller than 15°, as asserted in the paper?b. What proportion of the sampled angles are at least30°?c. Roughly what proportion of angles are between10° and 25°?d. Construct a histogram and comment on any interestingfeatures.
Automated electron backscattered diffraction is now
being used in the study of fracture phenomena. The following
information on misorientation angle (degrees)
was extracted from the article “Observations on the
Faceted Initiation Site in the Dwell-Fatigue Tested
Ti-6242 Alloy: Crystallographic Orientation and Size
Effects” (Metallurgical and Materials Trans., 2006:
1507–1518).
Class: 02,5 52,10 102,15 152,20
Rel freq: .177 .166 .175 .136
Class: 202,30 302,40 402,60 602,90
Rel freq: .194 .078 .044 .030
a. Is it true that more than 50% of the sampled angles
are smaller than 15°, as asserted in the paper?
b. What proportion of the sampled angles are at least
30°?
c. Roughly what proportion of angles are between
10° and 25°?
d. Construct a histogram and comment on any interesting
features.
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