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Compare Rounded Track Times

Look beyond equal means and keep the recording limits attached to a claim.

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Find each set's smallest and largest recorded value before comparing its spread. Equal means do not require equal ranges. Rounded times describe the display, not every hidden decimal. A small recorded spread alone does not prove accuracy or predict the next result.

Worked example

A separate set 4, 6, 5 seconds has mean 5 seconds and spans 4 to 6. Another set 5, 5, 5 has the same mean but no recorded spread. Times 4.7 and 5.3 both round to 5 seconds, so equal displays need not mean equal exact times.

Fictional whole-second times on matching zero-to-twenty-four-second axes. R has dots at 18, 20 and 19. S has dots at 17, 19 and 21. Each dot is a recorded trial, not an exact unrounded time.
Use the same scale for both tracks. The dots show recorded whole seconds, not hidden decimal values.

Tracks R and S

These are fictional paper records; no timing experiment is required. The same cart traveled along two tracks of equal length, with the same start/stop rule and timer. Every time was recorded to the nearest whole second. Track R: 18, 20, 19 seconds. Track S: 17, 19, 21 seconds. Both sets total 57 seconds across three trials. A separate pair of readings displayed 19 seconds and 19 seconds; their unrounded values were not recorded.

Question 1 What are the smallest and largest recorded S times?
Question 2 Which track has the smaller recorded range?
Question 3 Which comparison of recorded means is supported?
Question 4 Do the separate matching displays of 19 seconds prove the unrounded times were identical?
Question 5 Which follow-up would provide more useful comparison evidence?