Let's work through the data provided step-by-step.
### Step 1: Organize the Data
First, let's list out all the amounts of money Liv makes each time she babysits:
- 7
- 11
- 8
- 14
- 9
- 9
- 10
- 9
- 10
### Step 2: Sort the Data
We sort the data in ascending order:
- 7, 8, 9, 9, 9, 10, 10, 11, 14
### Step 3: Identify the Peak (Mode)
The peak (mode) is the number that appears most frequently in the dataset. By inspecting the sorted list, we observe the following frequencies:
- 7: 1 time
- 8: 1 time
- 9: 3 times
- 10: 2 times
- 11: 1 time
- 14: 1 time
The number 9 appears most frequently (3 times). Therefore, the peak (mode) is 9.
### Step 4: Identify the No Bar Value
The no bar value indicates a whole value that does not appear at all in the dataset. Looking through the sorted data from the minimum value (7) to the maximum value (14), we identify the number 12 as missing.
### Step 5: Identify the Value Never Made
The value that was never made between the smallest and largest values in the list must also be identified logically. By cross-examination, we see that 12 is the value that was never made by Liv between her babysitting payments.
### Summary:
- The peak (mode) tells us the amount Liv makes most frequently: 9.
- The value 12 is a whole integer that does not appear in the dataset.
- The value 12 is also identified as never being made between the listed payments.
Thus, the completed statements are:
- The peak at [tex]$\boxed{9}$[/tex] tells us the amount of money Liv makes most frequently.
- No bar at [tex]$\boxed{12}$[/tex] indicates that this amount was never made.
- [tex]$\boxed{12}$[/tex] means Liv never made this exact amount in between her minimum and maximum payments.
If you have any further questions or need more clarification, feel free to ask!
