To find the range in the set of numbers 10, 12, 4, 5, and 6, you first examine all the values carefully to locate the extremes. Sorting the set in ascending order gives 4, 5, 6, 10, and 12. The maximum value in this dataset is 12, and the minimum value is 4. Applying the standard mathematical formula for range, you subtract the minimum value from the maximum value by calculating 12 minus 4, which equals 8. Thus, the range of this specific dataset is 8, showing the total spread between the smallest and largest observations in the group.
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