Answer
A total of $168$ Sophomores were surveyed.
Work Step by Step
$$\text{Using The Result of Survey in the Two Way Table}$$
$\text{Given Information:}$
Number of Sophomores Answered YES $=116$
Number of Sophomores Answered NO $=52$
$\text{To Find:}$
Number of Sophomores surveyed?
$$\text{Solution}$$
$\rightarrow \text{Total Sophomores Surveyed}=$
$\text{Sophomores that Answered Yes}+\text{Sophomores That Answered No}$
So,
$\rightarrow \text{Total Sophomores Surveyed}= 116+52=168$
$\text{Result:}$
Hence, a total of $168$ Sophomores were surveyed.