Which of the following values is the range of the following data set? 15, 22, 8, 30, 14, 10, 25

Rationale

22 is the range of the given data set.

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

A (15) YOUR ANSWER

This value does not represent the range of the data set. The range is determined by the difference between the highest and lowest values, which in this case results in 22, not 15.

B (18) YOUR ANSWER

While this value might seem like a possible range, it is incorrect. The range is specifically the difference between the maximum (30) and minimum (8) values, which is 22. Thus, 18 does not represent the correct calculation.

C (22) CORRECT

This is the correct calculation for the range. By subtracting the smallest number (8) from the largest number (30), we find the range to be 22, which accurately represents the spread of the data set.

D (7) YOUR ANSWER

This option does not reflect the range of the data set. The range involves the maximum and minimum values, which gives a result of 22, not 7. This value does not relate to any aspect of the data set's distribution.

Conclusion

The range of a data set is a measure of its spread, calculated by the difference between the highest and lowest values. In this case, the range of the data set 15, 22, 8, 30, 14, 10, 25 is correctly determined to be 22. The other options do not accurately represent this calculation, reinforcing the importance of understanding how to compute the range in statistics.

Which of the following values is the range of the following data set? 15, 22, 8, 30, 14, 10, 25

22 is the range of the given data set.

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