Max count of duplicate values?

Hi All,

I have a table that looks something like this, which displays the responses students have sent to questions. I'm looking to find a MAX response count (by student) that can be filtered by date.

Student ID       Package ID      Date Sent  text

1                       101                  9/1/16        yes

2                       101                  9/1/16        yes

2                       102                  9/2/16        1

4                       101                  9/1/16        no

4                       102                  9/2/16        1

4                       103                  9/3/16        5

I already have an overall MAX measure for responses, that comes from a summarized calculated table. But the summarized table of course no longer has dates attached (it gives me a response count for each student overall), so it isn't filtering.

What I need is to be able to show the following:

From 9/1/16-9/3/16 the MAX response count is 3. For 9/1/16 the MAX response count is 1. Basically, I want to identify the Student ID that has the most duplicates, and count the number of those duplicates. 

Thanks for any help!

Betsy