Questions: Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3. The mean of the data is 4.4 The median of the data is 4 The mode of the data is 2 The range of the data is .

Solution Steps

The given data is: \(8, 2, 1, 5, 7, 6, 2, 2, 8, 3\).
First, arrange the data in ascending order:
\(1, 2, 2, 2, 3, 5, 6, 7, 8, 8\).

From the ordered data:

• The minimum value is \(1\).
• The maximum value is \(8\).

The range is calculated as the difference between the maximum and minimum values:
\[ \text{Range} = \text{Maximum} - \text{Minimum} = 8 - 1 = 7. \]
Thus, the range of the data is \(7\).

Final Answer