Which of the following graphs reflects this scenario: following the hurricane, the standardized test scores for all students who endured extended power outages fell? Graph showing a normal distribution with peak in the center of the curve.
Graph showing bimodal distribution with two peaks.
Graph showing positively skewed distribution with peak to the left of the curve and tail to the right.
Graph showing negatively skewed distribution with peak to the right of the curve and tail to the left.
Graph showing a distribution with the peak in the center of the curve.

The correct answer is C. Graph showing positively skewed distribution with a peak to the left of the curve and tail to the right.

Explanation:

The purpose of a graph is to show visually numerical data, including how this changes over time. In the situation presented, the test scores fell or decreased after the hurricane.

In this context, it is expected before the hurricane the test scores were high, which should be represented as a peak in the graph as the rate for test scores was high.

Moreover, once the hurricane occurs the peak should decrease, this is represented as a tail in the graph as the scores of students fell or decrease. According to this, the graph that best represents this situation is one "graph showing positively skewed distribution with a peak to the left of the curve and tail to the right".