If 12 is removed from the dataset 10, 14, 12, 16, 8, 9, 24, 20, then the median will increase by 1.
Arranging the data in ascending order: \( 8, 9, 10, 12, 14, 16, 20, 24 \) Since \( n = 8 \), the median is: \[ = \cfrac{1}{2} (12+14) = \cfrac{26}{2} = 13 \] If 12 is removed, then \( n = 7 \). \(\therefore\) The new median = 4th term = 14. \(\therefore\) Increase in median \( = 14 - 13 = 1 \).