To determine which five-year period saw the largest increase in Palestinian refugees from the provided data points, we can calculate the increase in the number of refugees for each of the relevant periods.
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1950–1955:
- Refugees in 1950: 914,221
- Refugees in 1955: 905,986
- Increase: \(905,986 - 914,221 = -8,235\) (decrease)
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1960–1965:
- Refugees in 1960: 1,120,889
- Refugees in 1965: 1,280,823
- Increase: \(1,280,823 - 1,120,889 = 159,934\)
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1995–2000:
- Refugees in 1995: 3,172,641
- Refugees in 2000: 3,737,494
- Increase: \(3,737,494 - 3,172,641 = 564,853\)
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1970–1975:
- Refugees in 1970: 1,425,219
- Refugees in 1975: 1,632,707
- Increase: \(1,632,707 - 1,425,219 = 207,488\)
Now, comparing all calculated increases:
- 1950–1955: -8,235
- 1960–1965: 159,934
- 1970–1975: 207,488
- 1995–2000: 564,853
The largest increase occurred from 1995 to 2000, with an increase of 564,853 refugees.
Thus, the answer is 1995–2000.