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Math / Statistics / Grade 6 / mt6e1

A Flag Is Not a Verdict

Use a review rule, then check independent evidence about each record.

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Flag a recorded length below 10 cm OR above 20 cm. The endpoints 10 and 20 stay unflagged. This is a review policy, not a limit on valid crate sizes. Compare the recorded and independently checked lengths: agreement means a correct record in this invented exercise; disagreement means a recording error. A flag can be a false alarm, and an unflagged record can still be wrong. Treat the supplied independent checks as reliable here; real measurements can be uncertain. A missing check leaves correctness unknown.

Worked example

For a different band, 50 to 60 cm, a record of 64 cm is flagged. An independent check of 64 cm agrees, so the record is correct: a false alarm for an error. A record of 55 cm is not flagged, but a check of 56 cm disagrees: the rule missed an error.

Worked example: a recorded 64 cm is outside the 50 to 60 band but agrees with a 64 cm check; a recorded 55 cm is inside but disagrees with a 56 cm check.
The review rule and the independent check answer different questions.

Evidence file

Invented crate records (recorded length / independent check): A: 8 cm / 8 cm. B: 24 cm / 18 cm. C: 14 cm / 15 cm. D: 20 cm / 20 cm. E: 10 cm / missing. Apply the below-10 OR above-20 review rule to the recorded length, not the checked length.

Question 1 Record A says 8 cm, and its check says 8 cm. Which conclusion is supported?
Question 2 Record B says 24 cm, and its check says 18 cm. What happened?
Question 3 Record C says 14 cm, and its check says 15 cm. What happened?
Question 4 Record D says 20 cm, and its check says 20 cm. Which conclusion is supported?
Question 5 Record E says 10 cm, but its check is missing. What should we conclude?