Concept:Range is the difference between the highest and lowest values, while the mode is the value that appears most frequently.Explanation:The given set of numbers is:10,9,10,9,8,7,7,10,8,10,8,4,6,9,10,9,7,10,6,5The highest number is 10 and the lowest number is 4.So, range = highest number − lowest number =10−4=6.Now count the frequency of each number:10 appears 6 times, 9 appears 4 times, 8 appears 3 times, 7 appears 3 times, and the rest appear less frequently.Therefore, the mode is 10.Sum of the range and the mode = range + mode =6+10=16.Answer:16 (Option A)