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Trimmed mean? An experiment to study the lifetime (in hours) for a certain type

ID: 3124652 • Letter: T

Question

Trimmed mean?

An experiment to study the lifetime (in hours) for a certain type of component involved putting 10 components into operation and observing them for 100 hr. Eight of the components failed during that period, and those lifetimes were recorded. The lifetimes of the two components still functioning after 100 hr are recorded as 100+. There were resulting sample observations.

44   75   100+   31   94   84   53   100+   13   27

Which of the measures of center can be calculated, and what are the values of those measures? (Round all answers to two decimal places.)
Median: 64
20  % trimmed mean:

Explanation / Answer

20% trimmed mean can be calculated by excluding 2 smallest and 2 largest values:

(45+75+31+94+84+53)/6

=63.67

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