Transit journey-time percentile calculator

Calculate median journey time and 90th percentile journey time with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use median journey time and 90th percentile journey time to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Observed journey times in selected group (minutes)
10,12,15,20,23
Median journey time (minutes)
15
90th percentile journey time (minutes)
21.8
Sample count
5

Try another scenario

Observed journey times in selected group (minutes)
12,14,16,30,40
Median journey time (minutes)
16
90th percentile journey time (minutes)
36
Sample count
5
Calculation method

Calculation method

Median journey time (minutes)

Sorted sample, linear quantile p=.5.

90th percentile journey time (minutes)

Sorted sample, linear quantile p=.9.

Sample count

Number of observations.

Symbols and units
a
Observed journey times in selected group (minutes)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Linear interpolation at index (n−1)p within one user-selected time-of-day sample group. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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