Absolutely, let's find the range of the given set of scores by proceeding step-by-step. Here are the scores:
[tex]\[ 10, 12, 15, 35, 40, 43, 47, 49, 50, 55 \][/tex]
### Step 1: Identify the Maximum Score
To find the maximum score, we look through all the values and identify the largest number.
- The maximum score is 55.
### Step 2: Identify the Minimum Score
Next, we look through all the values and identify the smallest number.
- The minimum score is 10.
### Step 3: Calculate the Range
The range of a set of numbers is the difference between the maximum and minimum values:
[tex]\[ \text{Range} = \text{Maximum Score} - \text{Minimum Score} \][/tex]
Substitute the identified maximum and minimum scores:
[tex]\[ \text{Range} = 55 - 10 \][/tex]
[tex]\[ \text{Range} = 45 \][/tex]
### Summary of Results
- Maximum score: 55
- Minimum score: 10
- Range: 45
Therefore, the range of the given scores is 45.