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Read a tail threshold from sorted effort observations

Specify an order rule instead of using an undefined percentile label.

Plan from the supplied facts

Ten fictional comparable observations are 2,2,3,3,4,4,5,6,8,10 hours. This worksheet defines its eight-in-ten threshold as the eighth value after sorting ascending. It describes this finite sample only and makes no future probability claim.

Editable original planning example
Sorted positionsHoursCumulative observations
1–42,2,3,34
5–84,4,5,68
9–108,1010
Download editable CSV ↓

Work through the choice

The selected eighth value is 6, and exactly eight supplied observations are no greater than 6. Other interpolation methods could give a different statistic, so retain this explicit local order rule.

Under the same local rule, what is the nine-in-ten threshold?

Show the worked answer

The ninth sorted value is 8 hours. This is a sample threshold, not a 90% delivery guarantee.

Material to use in your plan

Keep the full sorted observations, the chosen rank and the selected value. Name the finite-sample rule in the plan and do not attach future confidence without separate evidence.

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