Answer :

The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

= 39.25 - 31.75

= 7.5

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