A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in the table above. Which of the following would best display the data?

Rationale

A bar graph would best display the data.

A bar graph is a common tool used to represent categorical data. The number of trees for each fruit type (apple, orange, lemon, banana, and pear) represents categorical data, making a bar graph the most suitable choice.

A (Bar graph) CORRECT

A bar graph is typically used to compare different categories. In this case, the categories would be the types of fruit trees (apple, orange, lemon, banana, and pear) and the variable being measured would be the number of trees. Each bar would represent a category and the height of the bar would correspond to the number of trees.

B (Scatter plot) YOUR ANSWER

A scatter plot is used to display data along two dimensions and is typically used to show the relationship between two quantitative variables. In this context, there is not a second quantitative variable to be compared with the number of trees, making a scatter plot inappropriate for displaying this data.

C (Stem-and-leaf plot) YOUR ANSWER

Stem-and-leaf plots are used to display quantitative data and are particularly useful when the distribution of data is of interest. However, in this instance, the data is categorical (types of trees) rather than quantitative. Therefore, a stem-and-leaf plot would not be the best choice for displaying this data.

D (Line graph) YOUR ANSWER

Line graphs are used to show how a variable changes over time. Since the data provided does not involve a time component, a line graph would not be the best choice for displaying this data.

Conclusion

Given that the data involves different categories (types of fruit trees) and a variable to be measured (number of trees), a bar graph is the most appropriate choice. A bar graph will clearly show the number of each type of tree the farmer has planted. Other graph types like scatter plots, stem-and-leaf plots, and line graphs are not suitable as they are designed to display different types of data or relationships that are not applicable in this situation.

A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in the table above. Which of the following would best display the data?

A bar graph would best display the data.

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