Average Time Calculator
Average a list of clock times using a same-day arithmetic mean or a circular mean around midnight. Review earliest/latest times and export the calculation report.
1. Set up your input
Circular averaging treats the clock as a circle: 23:50 and 00:10 average to midnight. Arithmetic averaging treats both as times on one day: their average is noon. No dates, time zones or daylight-saving transitions are inferred.
2. Preview & use the result
Load an example to get started.
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Using Average Time Calculator
Average a list of clock times using a same-day arithmetic mean or a circular mean around midnight. Review earliest/latest times and export the calculation report.
- Enter HH:MM or HH:MM:SS clock times on separate lines.
- Choose circular averaging for values around midnight, or arithmetic averaging for a same-day calculation.
- Read the average and method. Save the report, including circular concentration when applicable.
Example
Circular averaging treats the clock as a circle: 23:50 and 00:10 average to midnight. Arithmetic averaging treats both as times on one day: their average is noon. No dates, time zones or daylight-saving transitions are inferred.
Questions & answers
Why do the two methods disagree?
Clock time wraps at midnight. An arithmetic mean places 23:50 and 00:10 at noon; a circular mean places them at midnight. Choose the interpretation that fits your task.
What does circular concentration mean?
It ranges from 0 to 1. Values near 1 cluster around a similar clock time; values near 0 are widely spread, making the mean less informative.
Can every list have a circular mean?
No. Opposite or evenly distributed times can have no unique direction. The tool reports this instead of returning a misleading time.
Can I average elapsed durations here?
This page accepts clock times within a day. It does not interpret multi-day durations or calendar timestamps.
Is my input uploaded for processing?
No processing upload is used. This tool runs in a local browser worker. Website ads and analytics follow the site privacy information.
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