1. The problem asks for the third quartile (Q3) of the data set: 16, 10, 14, 11, 12, 15. 2. The third quartile is the value below which 75% of the data falls. To find it, first sort the data in ascending order: $$10, 11, 12, 14, 15, 16$$ 3. Since there are 6 data points, the position of Q3 is given by: $$Q3 = \frac{3(n+1)}{4} = \frac{3(6+1)}{4} = \frac{21}{4} = 5.25$$ This means Q3 lies between the 5th and 6th data points. 4. The 5th data point is 15 and the 6th is 16. Interpolating: $$Q3 = 15 + 0.25 \times (16 - 15) = 15 + 0.25 = 15.25$$ 5. Among the given options (a) 11, (b) 12, (c) 14, (d) 15, the closest and most reasonable choice is (d) 15. Final answer: **15**