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In a quality-control test, 50 boxes—each containing 30 machine parts—were examined for defective parts. The number of defective parts was recorded for each box, and the average (arithmetic mean) of the 50 recorded numbers of defective parts per box was 1.12. Only one error was made in recording the 50 numbers: “1” defective part in a certain box was incorrectly recorded as “10”.
Quantity AThe actual average number of defective parts per box
Quantity B0.94
ExplanationTotal errors (incorrectly recorded): 50*1.12 = 56 (This is incorrect value)
Actual average = 56-9 (As 10 was recorded instead of 1) = 47 = 47/50 = 0.94
Hence, both quantities are equal.
Answer: C