The problem asks us to identify which of the four graphs (W, X, Y, and Z) best represents the data in the given table, which shows the percentage of popcorn kernels popped in 2 minutes for five different brands. The percentages for the brands are: Brand 1: 78%, Brand 2: 86%, Brand 3: 93%, Brand 4: 89%, Brand 5: 96%.

Probability and StatisticsData VisualizationGraph InterpretationPercentageData Analysis
2025/4/26

1. Problem Description

The problem asks us to identify which of the four graphs (W, X, Y, and Z) best represents the data in the given table, which shows the percentage of popcorn kernels popped in 2 minutes for five different brands. The percentages for the brands are: Brand 1: 78%, Brand 2: 86%, Brand 3: 93%, Brand 4: 89%, Brand 5: 96%.

2. Solution Steps

We need to analyze each graph to see if it accurately reflects the data in the table.
* Graph W: This is a scatter plot. The approximate values are: Brand 1: 78%, Brand 2: 86%, Brand 3: 93%, Brand 4: 89%, Brand 5: 96%. This graph seems to represent the data accurately.
* Graph X: This is a horizontal bar graph. The approximate values are: Brand 1: 78%, Brand 2: 86%, Brand 3: 93%, Brand 4: 89%, Brand 5: 96%. This graph represents the data accurately.
* Graph Y: This is a line graph. The approximate values are: Brand 1: 78%, Brand 2: 86%, Brand 3: 93%, Brand 4: 89%, Brand 5: 96%. This graph represents the data accurately.
* Graph Z: This is a pie chart. It shows the percentages directly. The chart shows the values: Brand 1: 78%, Brand 2: 86%, Brand 3: 93%, Brand 4: 89%, Brand 5: 96%. This graph represents the data accurately.
Since all four graphs appear to accurately represent the data, we need to consider the most common way to represent this type of data. In this case, a bar chart (Graph X) would be the most appropriate and easily interpretable visualization. However, examining the graph more carefully reveals that Brand 1 is slightly above 70%, Brand 2 is slightly above 80%, Brand 3 is slightly above 90%, Brand 4 is close to 90%, and Brand 5 is close to 100%. This isn't correct because Brand 1 is supposed to be 78% and Brand 2 is supposed to be 86%.
Checking the values again, the scatter plot in Graph W seems to match the percentage values from the table with good accuracy. The points for Brand 1, Brand 2, Brand 3, Brand 4, and Brand 5 are plotted at approximately 78%, 86%, 93%, 89%, and 96% respectively.
The line graph, Graph Y, similarly displays these approximate values. It also shows them as a line graph.
Pie chart, Graph Z, shows the percentages directly.
Therefore, after reviewing the graphs, Graph W correctly displays the data in the table.

3. Final Answer

A. W

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