An experiment to study the lifetime (in hours) for a certain type of component i

Question

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.

48   75   100+   37   94   88   55   100+   17   23

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 =

______% trimmed mean _________.

I'm having trouble understanding the second part. I know the median is 65 (55+75 divided by 2). I calculated the trimmed mean to 66.17 (rounded) subtracting the two highest values and lowest. However, I can't figure out the percentage. I originally subtracted two more observations leaving me at 4 (the highest and the lowest remaining) getting an answer of 66.5 but it's incorrect?

Explanation / Answer

Trimmed means are expressed in percentages. The percentage tells you what percentage of data to remove. For example, with a 5% trimmed mean, the lowest 5% and highest 5% of the data are excluded.

Here to remove highest and lowest 2 we need to calculate the 20% trimmed mean leaving 6 values.

20% trimmed mean = (48+75+37+94+88+55)/6 = 66.17

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