Question

se the images to answer the question.

Graph #1

A dot plot titled Tacos eaten per person has a horizontal axis ranging from 18 to 22 in increments of 1. The data points show 1 dot above 18, 0 dots above 19, 3 dots above 20, 1 dot above 21, and 2 dots above 22.

Graph #2

A dot plot titled Number of siblings per student has a horizontal axis ranging from 0 to 5 in increments of 1. The data points show 1 dot above 0, 0 dots above 1, 4 dots above 2, 0 dots above 3, 3 dots above 4, and 2 dots above 5.



Compare the deviations and determine which graph has the larger average deviation: Graph #1 or Graph #2.

(1 point)
Graph #
has the larger average deviation.

Answer 1

Graph #2

Work:
- Graph 1: data {18(1),20(3),21(1),22(2)}. Mean = 143/7 ≈ 20.4286. Mean absolute deviation = (1·2.4286 + 3·0.4286 + 1·0.5714 + 2·1.5714)/7 ≈ 1.06.
- Graph 2: data {0(1),2(4),4(3),5(2)}. Mean = 30/10 = 3. Mean absolute deviation = (1·3 + 4·1 + 3·1 + 2·2)/10 = 14/10 = 1.4.

Since 1.4 > 1.06, Graph #2 has the larger average deviation.