Thank you for getting back. Actually I thought you had Azure Front Door profile and a Azure CND Edgio standard deployed as well. But I get it now that it is just CDN profile (Standard Edgio).
Let me summarize my understanding from your question above.
I understand you have already referred to Edge CNAMES custom report here which has the property.
Data Transferred: Indicates the total amount of data transferred from the edge servers to the HTTP clients (for example, web browsers) for requests that are directed to an edge CNAME on which the custom reporting capability is enabled. The amount of data transferred is calculated by adding HTTP response headers to the response body.
The Data Transferred property shows as 69539.54 MB for a particular day.
And you also went through the Egress Total
property of Azure Diagnostic which shows egress of 64.51 GB for that particular day.
Based on this observation you had a question below
What is the difference between these methods of obtaining statistics? Am I missing something when calculating the statistics in Azure diagnostics logs (metrics)?
The difference here is that the Custom report is provided and maintained by Edgio(As CDN profile (Standard Edgio) is the offering provided by them). The Diagnostics data is maintained and provided by Azure.
There can be a difference between the statistics due to time zone difference and process delay. Although the monthly data should be the same for which you will be billed.
Hope this answers your query. Please let me know if you have any additional questions. Thank you!