To determine the range of a set of data, we need to find the difference between the maximum and minimum values in the set.
The given data represents the number of eggs produced by different chickens:
[tex]\[
\{234, 229, 235, 231, 229, 222, 262\}
\][/tex]
### Steps to Find the Range:
1. Identify the maximum value:
- The maximum number of eggs in the given set is [tex]\(262\)[/tex].
2. Identify the minimum value:
- The minimum number of eggs in the given set is [tex]\(222\)[/tex].
3. Calculate the range:
- Subtract the minimum value from the maximum value:
[tex]\[
\text{Range} = \text{Maximum} - \text{Minimum} = 262 - 222 = 40
\][/tex]
Thus, the range of this set of data is [tex]\(40\)[/tex].
Therefore, the correct answer is [tex]\( \text{Option B: 40} \)[/tex].
