Question

the line plot shows the number of hours several students spent on the internet during a week.

describe the shape of the distribution.

skewed right
symmetric

Explanation:

Identify the data points

Using the Data Distribution Shape knowledge point
We count the number of data points (represented by 'x') at each value on the line plot:

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

Analyze the symmetry

Using the Data Distribution Shape knowledge point
The peak of the distribution is at \(4\). The counts on either side of the peak are:

• Left side: 3, 2, 1 (at \(3, 2, 1\))
• Right side: 3, 2, 1 (at \(5, 6, 7\))

Since the left and right sides are perfect mirror images of each other, the distribution is symmetric.

Answer:

• Skewed right
• Symmetric (Correct answer)