The problem asks us to find the number of hostel rooms that have 11 or fewer guests, given a histogram showing the number of guests in each hostel room. Each bin includes the left endpoint and excludes the right endpoint.

1. Problem Description

The problem asks us to find the number of hostel rooms that have 11 or fewer guests, given a histogram showing the number of guests in each hostel room. Each bin includes the left endpoint and excludes the right endpoint.

2. Solution Steps

The histogram shows the distribution of the number of guests in each hostel room. We need to find the number of rooms that have 11 or fewer guests. Because each bin includes the left endpoint and excludes the right endpoint, "11 or fewer guests" means we must consider the bins corresponding to [0, 4), [4, 8), and [8, 12).

* The number of rooms with guests in the interval [0, 4) is

3. * The number of rooms with guests in the interval [4, 8) is

5. * The number of rooms with guests in the interval [8, 12) is

8.

To find the total number of rooms with 11 or fewer guests, we sum the number of rooms in these intervals:

$3 + 5 + 8 = 16$

3. Final Answer

16