gloria stuart
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Wait: question says proposed in 1900, 1947, 1960, 1964 — thats four. A new one is expected. So now five events.
Let the new event be in year X, and it falls after 1964. Then intervals:
Alternative: the average is over the four gaps between the four existing events, but the new one changes one gap? No.
But the question says: expected in a year that reduces the average time between consecutive discoveries to 4.5 years
Assume the new discovery is placed such that in the full ordered list of five events, the average of the four intervals between them is 4.5.
Let the five events be: 1900, a, 1947, 1960, X — but a and X unknown.
Better: the original must be integrated. But the question implies the discovery is to be placed in time, replacing one? No.
Standard interpretation: the time points are 1900, 1947, 1960, 1964, and a new one X, ordered, and the average of the four consecutive gaps is 4.5.
Wait — perhaps the new discovery is expected in the future, but we assume it happens once, making a fifth event, and the average of the four gaps between the five ordered events is 4.5.
But initial average was 21.33, now much smaller? That only happens if the new event is very close to prior ones, but the dominant gaps are still 47 and 13.