Use the images to answer the question.

Question

Graph 1

A dot plot titled assessment score per student has a horizontal axis ranging from 72 to 94 in increments of 2.

Graph 2

A dot plot titled Assessment Score per Student has a horizontal axis ranging from 76 to 98 in increments of 2.

Which of the two graphs has a larger average deviation?

(1 point)
Responses

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

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

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

It is impossible to tell from these datasets.
It is impossible to tell from these datasets.
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Answer 1

To determine which graph has a larger average deviation, we would typically need to calculate the average deviation for each dataset. Average deviation is a measure of how much the scores deviate from the average (mean) score.

Without the actual data points from the graphs, we can only make an educated guess. If we assume that the distributions of scores are similar, the graph with a wider range (in this case, higher minimum and maximum scores) often indicates a higher average deviation because the scores are spread out more and contribute to a larger difference from the mean.

Since Graph 1 has scores ranging from 72 to 94 and Graph 2 spans from 76 to 98, the numbers in Graph 2 are consistently higher and the overall range is broader.

Thus, a reasonable conclusion would be:

The second graph has a larger average deviation.