Mode (Most Frequency) in Ranges

Hello Excel Gurus,

I have 2 questions that I don't even know if there's a solution to it.

Given a range of numbers (below), we can see that 0-1 (6x), 1-2 (5x), 2-3 (4x), 3-4 (3x), 4-5 (6x), 5-6 (5x), 6-7 (6x), 7-8 (2x), 8-9 (3x), 9-10 (2x)

0, 0.1, 0.2, 0.3, 0.4, 1.0,
1.1, 1.2, 1.5, 1.9, 2.0,
2.1, 2.2, 2.7, 2.8,
3.2, 3.5, 3.6,
4.1, 4.3, 4.5, 4.7, 4.9,5.0,
5.2, 5.4, 5.6, 5.8, 6.0,
6.1, 6.2, 6.4, 6.5, 6.8, 6.9,
7.5,7.9,
8.1, 8.8, 9.0,
9.1, 10

The 1st question is that, How do I spit out the no. of occurance in the given range. Which is shown above. i.e. 0-1 (6x), 1-2 (5x), ... ..., 9-10 (2x). Without the 'x' of course.

2nd question is, how to tell the user, what's the range that occured most. In our example, it will spits out 0-1, 4-5 and 6-7 as the answer.

Updated:

could you attach this in a sample workbook? just want to make sure i am doing the correct procedure.

Maybe this:

once you have the number of occurances per line you can just use the MODE function, but are all of those values in multipule cells, or in once cell, with comma seperation

In 2nd solution is what you asking for but in that approach it's important to write numbers in each row from same range (for example 7.5,7.9, in 7th row).
In 1st solution that's not important but it define ranges as bigger or equal than 0 and less than 1 (for 1st range).
That means that 1 is in 2nd range (0-0.99999, 1 - 1.9999, 2-2.99999 etc) as it should be and not in first (0-1, 1.000001-2, 2.000001-3 etc)

Very close though zbor. But attached is the spreadsheet that i've done.

Hopefully you can help out.

Thanks DGagnon & Zbor!!! Really appreciate it!

And to answer your question DGagnon, there's no comma or anything. It's a number in each cell, and there can be multiple columns

so 0-1 and 1-2... where is 1 calculated?