To check the status of an assessment, click the assessment you want to check. You will able to view number of students the assessment has been assigned to, number of students who have completed the assessment and number of students who are taking the assessment currently.
In case, you want to know more, check the following:
Assigned - To check the students details to whom the Assessment has been assigned to
Completed - Students who have completed the assessment and their performance
In Progress - Students who are currently taking up the test