Questions: Consider the following data: 11,12,9,3,6,13 Calculate the value of the range.

Consider the following data: 11,12,9,3,6,13 Calculate the value of the range.
Transcript text: Consider the following data: \[ 11,12,9,3,6,13 \] Calculate the value of the range.
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Solution

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Solution Steps

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

Solution Approach
  1. Identify the maximum value in the dataset.
  2. Identify the minimum value in the dataset.
  3. Subtract the minimum value from the maximum value to get the range.
Step 1: Identify the Maximum Value

The maximum value in the dataset \(\{11, 12, 9, 3, 6, 13\}\) is: \[ \max(11, 12, 9, 3, 6, 13) = 13 \]

Step 2: Identify the Minimum Value

The minimum value in the dataset \(\{11, 12, 9, 3, 6, 13\}\) is: \[ \min(11, 12, 9, 3, 6, 13) = 3 \]

Step 3: Calculate the Range

The range is calculated by subtracting the minimum value from the maximum value: \[ \text{Range} = \max - \min = 13 - 3 = 10 \]

Final Answer

\[ \boxed{10} \]

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