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📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Perhaps the question means: the average time between the institutions or events is to be 4.5, but that doesnt make sense.

📌 Thus, the only way this makes sense is if the average time between consecutive discoveries refers to the rate of progress requiring a smaller average, but with only four events, adding one reduces the average only if placed near the end, but it increases the small gaps.

📌 Perhaps the time is measured in terms of the interval from 1900, and we want the average gap between the five events to be 4.5. But again, sum would need to be 18, known sum is 64, impossible.

📌 Unless the first three are not part of the five? No.

📌 Perhaps consecutive discoveries means in chronological order, and we have four events, but the new one is added, and the average of the four gaps in the five-event sequence is 4.5 — but then the sum must be 18, so the total span is not 64, so the new event must have overwritten or the timeline is not additive.

📌 But 1914 is between 1900 and 1947 — so it would have been discovered earlier, so it cant be a new discovery.

📌 Perhaps the question has a typo, and the desired average is 14, not 4.5? But we must answer.

📌 The gap from 1900 to 1964 is 64 years, which is already given by the four gaps, but now we need the sum of the five gaps to be 18, so the new gap (after 196

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