Final answer:
The assessment data that warrants further intervention by the nurse is the client's blood pressure dropping to 77/50 mmHg, indicating hypotension, which can be a sign of septic shock.
Step-by-step explanation:
The assessment data that warrants further intervention by the nurse in this case is the client's blood pressure dropping to 77/50 mmHg.
A blood pressure reading in this range indicates hypotension, which can be a sign of septic shock. The nurse should immediately intervene by providing fluid resuscitation and notifying the healthcare provider.