To find the range of the monthly sales goals, we follow these steps:
1. Extract the data from the stem-and-leaf plot:
- 1 | 2558 → 12, 15, 15, 18 (in thousands)
- 2 | 446 → 24, 24, 26 (in thousands)
- 3 | 46 → 34, 36 (in thousands)
- 4 | 789 → 47, 48, 49 (in thousands)
2. List the sales goals in increasing order:
- 12, 15, 15, 18, 24, 24, 26, 34, 36, 47, 48, 49 (in thousands)
3. Identify the minimum and maximum values from the data:
- Minimum sales goal: \[tex]$12,000
- Maximum sales goal: \$[/tex]49,000
4. Calculate the range:
- The range is found by subtracting the minimum value from the maximum value.
[tex]\[
\text{Range} = \text{Maximum value} - \text{Minimum value}
\][/tex]
[tex]\[
\text{Range} = 49,000 - 12,000
\][/tex]
[tex]\[
\text{Range} = 37,000
\][/tex]
Therefore, the range of the monthly sales goals is \[tex]$37,000.
So, the correct answer is \(\$[/tex]37,000\).
