I struggled with this too. Then I disabled “All in One SEO Pack”. Then it worked.
I had this problem also, due to hosting the blog from my root directory instead of under “wordpress”.
First, open the source code of the rendered HTML page where the plugin is faiing and check the path to jquery.cycle.all.2.72.js.
If that path does not match where your plugin is you need to change it. For me, the “wordpress” directory was missing from the file path.
Go to Plugins–>Editor and select “WP Featured Content Slider” from the dropdown.
Choose “wp-featured-content-slider/featured-content-slider.php” and search for “get_bloginfo”. That will take you to where your path to the JavaScript is set. I added “/wordpress” in front of the existing path and that fixed it. (Add whatever is appropriate for your site path.)