To find the mean of the given numbers [tex]\(82, 84, 86,\)[/tex] and [tex]\(44\)[/tex], follow these steps:
1. Add the numbers together to find the total sum.
[tex]\[
82 + 84 + 86 + 44 = 296
\][/tex]
2. Count the number of elements in the list. There are 4 numbers.
3. Divide the total sum by the number of elements to find the mean.
[tex]\[
\text{Mean} = \frac{\text{Total Sum}}{\text{Number of Elements}} = \frac{296}{4} = 74
\][/tex]
So, the mean of the numbers [tex]\(82, 84, 86,\)[/tex] and [tex]\(44\)[/tex] is 74.
The correct answer is:
[tex]\[
\boxed{D}
\][/tex]