Which of the following is the range of the data set below? 8, 22, 15, 30, 14, 26, 17

Rationale

The range of the data set is 22.

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

A (9) YOUR ANSWER

This choice misrepresents the range calculation. The difference between the highest and lowest values in the set does not yield 9; therefore, it is not a correct representation of the data set's spread.

B (14) YOUR ANSWER

Selecting 14 as the range also reflects a misunderstanding of the calculation process. The range is not determined by any single value within the data set but rather by the difference between the maximum and minimum values, which in this case does not equal 14.

C (22) CORRECT

This choice accurately represents the range of the data set. By identifying the maximum value (30) and the minimum value (8), the calculation of 30 - 8 results in 22, correctly demonstrating the spread of the data set.

D (18) YOUR ANSWER

Choosing 18 as the range indicates an error in the subtraction of the smallest value from the largest value. The maximum and minimum values do not yield a difference of 18, making this choice incorrect.

Conclusion

The range of a data set is a crucial statistical measure reflecting the spread of values. For the given data set, the correct range is calculated as 30 - 8, resulting in 22. Understanding how to compute the range is fundamental to analyzing data distributions, and recognizing common misconceptions can help clarify this concept.

Which of the following is the range of the data set below? 8, 22, 15, 30, 14, 26, 17

The range of the data set is 22.

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