As there was an even number of years, there is no single middle year. So 1950 and 1951 were the middle years. You could therefore say that the year running from the 1st of July 1950 to the 30th of June 1951 was the middle year of the 20th century.
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It is in the 20th century.
During the 20th century.
1910 is 20th century Century=1st two digits of year +1
the 20th century started in 1901. The first full 1900 years (19 centuries) included 1900, because there was no year 0.
From 1901 to 2001, this century was called the Twentieth century. This is because the first century did not begin in the year of Zero. It began at the year of one. Thus the first century ended on January 1, the century of one.