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Math / Statistics / Grade 6 / mt6e2

Check the Evidence, Not Just the Flag

Investigate a second set of invented records without guessing at missing checks.

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Watch the lesson | Try the first evidence file

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Flag a recorded length below 30 cm OR above 40 cm. Both endpoints stay unflagged. A review band is not a physical size limit. Classify the flag and correctness separately: a flag with agreement is a false alarm; a flag with disagreement catches an error; no flag with disagreement misses an error. Only a supplied independent check establishes agreement here. The checks are assumed reliable in this invented exercise, not a claim that real measurements are perfect.

Worked example

Under a different 70 to 80 cm band, a recorded 82 cm and a checked 82 cm give a false alarm. A recorded 76 cm and a checked 77 cm give a missed error. A record of 70 cm without a check is unflagged, but its correctness remains unknown.

Worked example: 82 cm is flagged outside a 70 to 80 band but matches its check; unflagged 76 cm disagrees with its 77 cm check.
A false alarm and a missed error can happen under the same rule.

Evidence file

Invented crate records (recorded length / independent check): J: 44 cm / 44 cm. K: 26 cm / 34 cm. L: 36 cm / 37 cm. M: 30 cm / 30 cm. N: 40 cm / missing. Apply the below-30 OR above-40 review rule to each recorded length.

Question 1 N records 40 cm without an independent check. What is supported?
Question 2 J records 44 cm, matching its check of 44 cm. What is this?
Question 3 L records 36 cm, but the check is 37 cm. What happened?
Question 4 K records 26 cm, but the check is 34 cm. Which conclusion is supported?
Question 5 M records 30 cm, matching the check. Which conclusion is supported?