A screen shot would be helpful. Let me know once it is added to your media files and I’ll have a look. Be sure to include the date/time from your browser in that shot. Typically in the top of the window.
Are the account and browser and computer all set to the same time zone?
Do you mean when you change countries in your site’s timezone settings? If so, that is how it works, yes. Stats are shown based on the timezone you select for your site, so if your site’s timezone is set to a different one than you’re actually in, a new day in the stats will not happen when it actually does for you.
Having the wrong timezone set can also cause issues with post scheduling, so please make sure your site and your computer are set to the same timezone.