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API Gateway sends metrics to CloudWatch every minute (see here) and so does Kinesis (see here).
So, selecting a period that is less than 1 minute is meaningless and would still provide you with the same value as selecting 1 minute.
When you select Statistics=Sum it presents you with the sum of all samples within the selected time range. if that time range is 1 minute (or less) it will contain only a single sample. So, Sum would be equal to SampleCount and contain the total count within 1 minute.
To get the per second rate you need to take the value and divide by 60. So in your example, the average number of Kinesis PutRecords and API Gateway Count per second is 100K/60 ~= 1666
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