To determine the correct set of stems for the given data, we'll follow these steps:
1. List the Number of Doubles:
We'll extract the number of doubles from each team:
```
130, 143, 182, 149, 153, 147, 166, 150, 143, 151, 149, 144, 159, 182
```
2. Identify the Minimum and Maximum Values:
Next, we find the minimum and maximum values in this list:
- Minimum value: 130
- Maximum value: 182
3. Determine the Stem Values:
The stem values are determined by the tens digit of each number. The minimum stem is derived from the tens digit of the minimum value, 130, and the maximum stem is derived from the tens digit of the maximum value, 182.
- Minimum stem: The tens digit of 130 is 13.
- Maximum stem: The tens digit of 182 is 18.
4. Create the Range for the Stem Values:
We will generate all the stems from the minimum to the maximum tens digit:
[tex]\[
\text{Range of stems} = [13, 14, 15, 16, 17, 18]
\][/tex]
Thus, the correct set of stems for the data given is:
[tex]\[
[13, 14, 15, 16, 17, 18]
\][/tex]
