Question

Use the tables to answer the question.

Table 1

This table shows the distance of each data point from the mean of the dataset.
Data Point 11 15 9 10 11 12 12 10 9
Distance from Mean 0 4 2 1 0 1 1 1 2
Table 2

This table shows the distance of each data point from the mean of the dataset.
Data Point 9 10 14 14 12 10 10 10 9
Distance from Mean 2 1 3 3 1 1 1 1 2
Compare the datasets in the tables. Which of the following correctly describes the relationship of their average deviations?

(1 point)
Responses

The average deviation is the same for both tables.
The average deviation is the same for both tables.

The second table has a larger average deviation.
The second table has a larger average deviation.

The first table has a larger average deviation.
The first table has a larger average deviation.

It is impossible to tell from this data.

Answer 1

The second table has a larger average deviation.

First table: (0+4+2+1+0+1+1+1+2) / 9 = 12/9 ≈ 1.33
Second table: (2+1+3+3+1+1+1+1+2) / 9 = 15/9 ≈ 1.67