Question 28

The range of the data set is 22.

The range is calculated by subtracting the smallest value from the largest value in the data set. In this case, the highest number is 30 and the lowest is 8, resulting in a range of 30 - 8 = 22.

A) 9

This option is incorrect because 9 does not represent the difference between the maximum and minimum values in the data set. The smallest number is 8 and the largest is 30, making the range significantly larger than 9.

B) 14

Option B is also incorrect as it fails to represent the correct calculation of the range. The range of a data set is defined as the difference between the largest and smallest values, which in this case is not equal to 14.

C) 22

This option is correct because it accurately reflects the calculation of the range. By subtracting the minimum value of 8 from the maximum value of 30, we arrive at a range of 22, confirming that this is the correct answer.

D) 18

Option D is incorrect since the value of 18 does not represent the range of the data set. The difference between the largest and smallest values is not equal to 18, thus making this option invalid.

Conclusion

The correct answer is 22, as it correctly represents the difference between the highest and lowest values in the data set. All other options fail to calculate the range accurately, demonstrating a misunderstanding of how to determine this statistical measure.