Welcome to the site.
First, it doesn't matter if you look at sd or variance, one is just the square of the other.
Second, variance is always "present" so I am not sure what you mean.
Third, please edit your question, adding the contents of your comment, so it is clearer.
Fourth, your design is quite poor. You won't be able to tell whether the intervention had any effect as anything you find could be a result of seeing the first video, or of seeing any video, or of the second video, rather than the intervention. You should have some people who get the intervention and some who don't and you might consider randomizing the order the videos are shown in, as well.
Finally, you can use the F test to compare two variances, but if you follow my advice, above, you will have more groups and you won't just be comparing the variances (for which, see this thread, but making a model that the variance is related to the intervention and maybe the order. One way to do this is to transform the DV to be between 0 and 1 and then use beta regression, which models both mean and variance. See "A Better Lemon Squeezer". Since your DV is a score, it surely has bounds.