The propagation of fatigue cracks in various aircraft parts has been the subject

Question

The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives (flight hours/104) to reach a given crack size in fastener holes intended for use in military aircraft: .736 .863 .865 .913 .915 .937 .983 1.008 1.011 1.064 1.109 1.132 1.140 1.153 1.253 1.399 Compute and compare the values of the sample mean x- and median x~. By how much could the largest sample observation be decreased without affecting the value of the median, and by how much could the smallest sample observation be increased without affecting the value of the median?

Explanation / Answer

Mean=x/n=15.616/16=0.976

median=2.019/2=1.0095

we can decrease max value by 0.146 without affecting median

we can increase min value by 0.127 without affecting median

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