6. Which of the following values is the range of the following data set? 15, 22, 8, 30, 14, 10, 25
Answer: C
The range of the data set is 22.
The range is calculated by subtracting the smallest value in the data set from the largest value. In this case, the smallest number is 8 and the largest is 30, so the range is 30 - 8 = 22.
A) 15
Option A is incorrect because 15 does not represent the range of the data set. The range requires the difference between the maximum and minimum values, which in this case does not yield 15.
B) 18
Option B is incorrect as the range is not 18. This value does not reflect the difference between the maximum (30) and minimum (8) numbers in the data set.
C) 22
Option C is correct because the range is calculated by taking the difference between the highest value, 30, and the lowest value, 8. Thus, 30 - 8 equals 22, making this the accurate range of the data set.
D) 7
Option D is incorrect as it does not represent the range. The calculation of the range requires the maximum and minimum values, which do not result in 7 when correctly calculated.
Conclusion
The correct answer is 22, as it accurately reflects the difference between the largest and smallest values in the data set. All other options fail to represent the range since they do not derive from the correct calculation of maximum minus minimum. Thus, option C stands out as the only valid choice.