A statistician had a data set containing 13 data points written in his research notebook. He spilled coffee on his notebook and now he cannot read two of the data values. He remembers that the sample mean of the original data set was 24.923 and the sample median was 20. Use your power of deduction and the 11 still readable data values given below, to determine the range of possible values for the two lost data points.
31, 17, 42, 48, 26, 36, 16, 16, 18, 20, 15
Smallest Possible lost data point = ?
Largest Possible lost data point = ?