Google recently rolled out a new service Gmail Meter which would let any user to track record of all emails. It runs on the first day of every month and sends users an email containing different statistics about your Inbox. It has been developed by  Romain Vialard, a Google Apps Script Top Contributor and is powered by Google Apps Script.
It sends detailed statistics of your mailbox  viz.  Volume Statistics, Daily Traffic,Traffic Pattern, Email Category, Time Before First Response,Word Count,Thread Lengths etc
How to Install Gmail Meter ?
Go to Google Docs and create a new spreadsheet (and save it). Click on Tools, followed by Script Gallery, then search for “Gmail Meter†and click Install. Although the creator’s email address may appear near the install button, An authorization prompt will ask for you to grant the tool access.
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A new menu item called Gmail Meter will appear on the spreadsheet. Select Gmail Meter and then Get a Report. You will get an email once the report is ready.
If you’re having problems with the install button — in some cases, it’s been taking awhile to download — Google said that the influx of people trying to access the feature has slowed the process. It’s working to correct the issue soon.