Question

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Explanation:

Analyze the distribution shape

Using the Data Distribution Shape knowledge point

A distribution is symmetric if its left half is a mirror image of its right half. Let us count the data points (represented by 'x' marks) at each value on the horizontal axis:

• \(1\): 1 point
• \(2\): 2 points
• \(3\): 3 points
• \(4\): 5 points
• \(5\): 3 points
• \(6\): 2 points
• \(7\): 1 point

Verify symmetry about the center

Using the Data Distribution Shape knowledge point

The center of this distribution is at \(4\). Let us compare the frequencies at equal distances from the center:

• At distance 1: Frequencies at \(3\) and \(5\) are both 3.
• At distance 2: Frequencies at \(2\) and \(6\) are both 2.
• At distance 3: Frequencies at \(1\) and \(7\) are both 1.

Since the frequencies match perfectly on both sides of the center, this distribution is symmetric.

Answer:

• (b) Number of Hours Spent on the Internet (symmetric dot plot centered at 4) (Correct answer)