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For default Email notifications, you can set up your form to Hide-Empty-Fields-on-Email-Alerts. However, upon taking a look at the form that I think you are trying to change, i can see that you have used the Unlock Data Table button:
As your email notification has been extensively modified since, it can no longer be locked back by using Lock Data Table button. For this reason, if you wish to utilize the Hide Empty Fields function in your Email notifications, you will need to set up a new Email Notification by following this guide: http://www.jotform.com/help/25-Setting-Up-Email-Notifications
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