100 POINTS The median of the set of numbers 12, 38, 45, $x$, 14 is five less than the mean. If x is a negative integer, what is the value of x?

-14

Step-by-step explanation:

Since x is negative, the median of the set is 14. Therefore, the mean of the set is 14 + 5 = 19, and its sum is 19 · 5 = 95. Since 12, 38, 45, and 14 sum to 109, the remaining integer x must be 95 − 109 = −14 .

Step-by-step explanation:

Given set of numbers:

Put them in ascending order, considering the x is negative

The median is 14

The mean is 5 greater than median:

The mean is calculated:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.