A> Chapter 9: Mcasures of Varlation > section Exerclses \( 9,4> \) Exerclse 10 Describe and correct the error in finding the range of the data. The range is the middle number. The range is 41 . The data were not ordered from least to greatest. \( 35,38,41,44,48,49,51 \). \( 48,51,41,35,44,38 \) The range is the middle number, 44 . The range is the largest number in a data set. The range is 51 . The data were not ordered from least to greatest. \( 35,38,41,44,48,49,51 \), or 11 . The least value is 35 This greatest value is 51 . The range is \( 51-35 \), o 16 . The
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To find the range correctly, you need to remember that the range is calculated as the difference between the maximum and minimum values in a data set. In this case, the maximum value is 51 and the minimum is 35, giving us a range of \( 51 - 35 = 16 \). So, it’s not the middle number or the sum, but a straightforward subtraction! Additionally, ordering data from least to greatest is crucial for clarity. By doing this, you can easily identify the lowest and highest values. A common mistake is confusing the terms; the "range" refers specifically to the spread of data values, while the "median" is the middle number when all values are arranged. As in this case, it’s vital to distinguish between these two metrics to avoid errors!