Get analytics data of all the request for given time

Not applicable

Is it possible to extract analytics data of all the request for a given time and proxy. Mainly, I am looking for response time and target response time of all the request for a specified time. The analytics api provided only avg or max response or target response times. I need all the records.

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Nope.

The stats API does not provide all data. It provides aggregations, like: sum, avg, min, max. This is as documented here (look. under the metrics topic).

If you need every record, you will need to log that data separately. To stackdriver, or spunk or whatever.