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

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.

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.

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

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

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

Final Answer