Question

the dot plot shows the number of text messages mr garcia sent each day so far this month. text messages per day (dot plot with number line from 1 to 13, dots at 2: 2, 3:1, 7:2, 8:3, 11:4, 12:2) which statement best describes the shape of the graph? the graph is skewed left. the graph is skewed right. the graph is nearly symmetrical. the graph is perfectly symmetrical.

Explanation:

Step1: Recall Skewness/Symmetry

Skewed left: Tail on left. Skewed right: Tail on right. Symmetrical: Mirror image.

Step2: Analyze Dot Plot

Check distribution. Values: 2 (2 dots), 3 (1), 7 (2), 8 (3), 11 (4), 12 (2). Compare left (2,3) and right (11,12) tails. The left has fewer dots, right has some, but overall, the main clusters (2,3;7,8;11,12) show a rough mirroring, not perfect but nearly so. Perfect symmetry would have exact mirror, which it doesn't. Skewed left/right? Left tail (2,3) is short, right tail (11,12) too, but the middle (7,8) and sides (2,3;11,12) are close. So "nearly symmetrical" fits.

Answer:

The graph is nearly symmetrical.