Answer:
x = 18
Explanation:
The average is defined as the sum of a set of values divided by the total number of values.
Since the average is 10 and there are 6 values, we can find x by setting the sum of the 6 values divided by 6 equal to 10:
Step 1: Plug in the values and simplify inside the parentheses:
(9 + 8 + 5 + 16 + 4 + x) / 6 = 10
(42 + x) / 6 = 10
Step 2: Multiply both sides by 6:
((42 + x) / 6 = 10) * 6
42 + x = 60
Step 3: Subtract 42 from both sides to find x:
(42 + x = 60) - 42
x = 18
Thus, x must be 18 in order to have an average of 10 given that the other values are 9, 8, 5, 16, and 4