Given the data set: 1, 3, 4, 9, 8, 5, 12. What is the range?
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, thus the range is 12 - 1 = 11.
This choice incorrectly suggests that the range is 13. To reach this figure, one would need to miscalculate the largest and smallest values or confuse the range with the sum of the dataset. The correct range is determined by accurately subtracting the smallest value (1) from the largest (12).
Choosing 10 as the range indicates an error in the identification of the maximum or minimum values. The correct calculation involves subtracting the smallest number (1) from the largest (12), which results in a range of 11, not 10.
The selection of 9 as the range reflects a misunderstanding of the calculation process. This choice may stem from mistakenly assuming a different set of data or miscalculating the difference between the extremes of the provided numbers. The actual difference is 11, not 9.
This choice accurately reflects the range of the data set. By subtracting the smallest value (1) from the largest value (12), we confirm that the range is indeed 11.
The range of a data set is a measure of the spread of values, determined by the difference between the maximum and minimum values. For the given data set of 1, 3, 4, 9, 8, 5, and 12, the range is calculated as 12 - 1, resulting in 11. This understanding is crucial for analyzing data sets in statistics to comprehend variability.
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