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QuestionMathematics

What is the range for the following set of data: 3, 5, 4, 6, 7, 10, 9?
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Answer

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Step 1:
I'll solve this step-by-step following the specified LaTeX formatting guidelines:

Step 2:
: Identify the data set

The given data set is: $$\{3, 5, 4, 6, 7, 10, 9\}

Step 3:
: Find the smallest value (minimum)

\min\{3, 5, 4, 6, 7, 10, 9\} = 3
To find the minimum, I'll scan through all numbers:

Step 4:
: Find the largest value (maximum)

\max\{3, 5, 4, 6, 7, 10, 9\} = 10
Scanning through all numbers:

Step 5:
: Calculate the range

\text{Range} = \max - \min = 10 - 3 = 7
The range is defined as the difference between the maximum and minimum values:

Final Answer

The range of the data set is 7.