Question 41

The range of the data set is 11.

The range is calculated by subtracting the smallest value in the data set from the largest value. In this case, the largest number is 12 and the smallest is 1, resulting in a range of 12 - 1 = 11.

A) 13

Option A is incorrect because the range is not the difference between the highest and lowest values in the set. A range of 13 would imply that the difference between the largest and smallest values is greater than the actual calculation shows.

B) 10

Option B is also incorrect. A range of 10 would suggest that the difference between the largest value (12) and the smallest value (2) is being considered, which does not reflect the actual values in the provided data set.

C) 9

Option C is incorrect as well. A range of 9 would imply that the difference between the largest number (12) and the smallest number (3) is being calculated, which again does not align with the actual maximum and minimum values of the data set.

D) 11

Option D is correct because it accurately reflects the calculation of a range by taking the largest number (12) and subtracting the smallest number (1), resulting in 12 - 1 = 11.

Conclusion

The correct answer is 11 as it accurately represents the difference between the maximum and minimum values in the data set. All other options fail to provide the correct calculation based on the actual highest and lowest numbers present, thus confirming that D is the only valid choice.