Dear Sandhya,
The kind of job that you handle belongs to the service function of HR. In simple words, it is called as clerical activities. It is difficult to measure the output in clerical cadre.
Not necessarily all the activities in HR are measurable. How anyone can measure advance HR activities like talent management or employee engagement? Has anyone measured the revenue impact of these HR interventions? Employee training, in contrast, is measurable. However, how many companies accurately measure the ROI on training?
It is the job of the management to measure the outcome of every process. It appears that when they are unable to do it, they have delegated this job to you. To camouflage delegation, they have used the phrase like "out of box thinking".
Anyway, to survive in the company, fulfilment of the expectations of the boss is always important. Therefore, find out on your own what could be the measure part. Otherwise, provide the list and frequency of the activities that you do and we will see can any measures be introduced.
Thanks,
Dinesh Divekar