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To find the median, we need to arrange the data in order from least to greatest:
1, 1, 2, 2, 4, 5, 6, 7
Since there are 8 data points, the median will be the average of the 4th and 5th data points:
(2 + 4)/2 = 3
Therefore, the median number of pairs of shoes owned by the 6th graders surveyed is 3 pairs.