GATE 2022 PI – Question 60
Observed machining-cycle times 42,43,44,45,46 minutes have frequencies 1,2,3,2,1 respectively. Worker rating is 110%. Find standard time with 10% allowance, nearest integer minute.
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Correct answer: 53 to 54
Explanation
The weighted mean is 44 min by symmetry. Normal time = 44×1.10 = 48.4 min. Allowance as 10% of normal time gives 48.4×1.10 = 53.24, rounded **53 min**. If 10% denotes a fraction of standard time, 48.4/0.90 = 53.78 rounds to **54 min**. The official accepted interval 53–54 preserves both allowance conventions.