Answer:
The missing number is 12.
Explanation:
Currently, there are 5 numbers in the set. Well, we know a number is missing from the set. So there should be 6. We will call this number "n".
The mean is the average. => (total value of all numbers added up)/(amount of numbers in the set) => (Total Sum)/(Total Number).
The sum is:
24 + 12 + 6 + 10 + 4 + n = 56 + n
The total number is 6 since there will be 6 numbers in the set including the number with a value of n.
Mean/Average = (56 + n)/6
If the mean is 12 that means:
(12*6)/6 (The denominator won't change since the amount of numbers will stay the same). The mean should be 12 (which is basically 72/6).
Setting both equal, we get:
(56+n)/6 = 72/6
Due to the same exact denominator, multiply both sides by 6:
56 + n = 72
n = 72 - 56
n = 16
If the mean is 12, the number missing from the set is: 12.
Hope this helped!