We are given a set of numbers representing the number of fruit punch stains in each of the six rooms in Frank's house: $4, 9, 12, 21, 22, 14$. We need to create a histogram based on this data, although the histogram itself is not visible in the image. We need to group the data into reasonable bins and determine the frequency for each bin. Assuming the histogram has bins of width 5 starting from 0, the bins are [0, 5), [5, 10), [10, 15), [15, 20), [20, 25).

1. Problem Description

We are given a set of numbers representing the number of fruit punch stains in each of the six rooms in Frank's house: $4, 9, 12, 21, 22, 14$. We need to create a histogram based on this data, although the histogram itself is not visible in the image. We need to group the data into reasonable bins and determine the frequency for each bin. Assuming the histogram has bins of width 5 starting from 0, the bins are [0, 5), [5, 10), [10, 15), [15, 20), [20, 25).

2. Solution Steps

First, let's define the bins:

Bin 1: [0, 5)

Bin 2: [5, 10)

Bin 3: [10, 15)

Bin 4: [15, 20)

Bin 5: [20, 25)

Now, let's count the number of rooms that fall into each bin:

Bin 1: [0, 5) -> 4 (1 room)

Bin 2: [5, 10) -> 9 (1 room)

Bin 3: [10, 15) -> 12, 14 (2 rooms)

Bin 4: [15, 20) -> None (0 rooms)

Bin 5: [20, 25) -> 21, 22 (2 rooms)

So, the number of rooms in each bin are:

Bin 1: 1

Bin 2: 1

Bin 3: 2

Bin 4: 0

Bin 5: 2

3. Final Answer

Bin 1: 1

Bin 2: 1

Bin 3: 2

Bin 4: 0

Bin 5: 2