Concept:Average is the sum of all observations divided by the total number of observations.Explanation:The given numbers are 5, 6, 7 and x.So the number of observations is 4.Sum of the numbers =5+6+7+x=18+x.The average is given as 8.Therefore, 418+x=8.Multiply both sides by 4: 18+x=32.Subtract 18 from both sides: x=14.Answer:x=14Option B.