Question

describe the shape of the data distribution. the dot plot is?

Explanation:

Step1: Recall the definition of symmetric distribution

A symmetric distribution is one where the left side of the distribution is a mirror image of the right side.

Step2: Analyze the dot - plot

In the given dot - plot, if we imagine a vertical line through the center (at \(x = 3\)), the number of dots on the left - hand side (for \(x=0,1,2\)): \(1 + 2+2=5\) and the number of dots on the right - hand side (for \(x = 4,5,6\)): \(2+2 + 1=5\). Also, the pattern of dots on the left (decreasing from \(x = 0\) to \(x=2\)) mirrors the pattern on the right (decreasing from \(x=4\) to \(x = 6\)) with respect to the center at \(x = 3\).

Answer:

symmetric