The table below shows the amount of carbohydrates in similar servings of different fruits.
Amount of Carbohydrates in Fruit
| 237 mL of Fruit | Carbohydrates (Grams) |
|---|---|
| Apples | 17 |
| Bananas | 34 |
| Cherries | 19 |
| Grapefruit | 24 |
| Oranges | 21 |
| Peaches | 16 |
| Watermelons | 12 |
If this data was placed in a bar graph, which statement would describe the graph?
A. The graph would have only four bars shorter than the bar for grapefruits.
B. The graph would have five bars taller than the bar for apples.
C. The graph would have grapefruits and oranges as the tallest bars.
Answer (2)
List carbohydrate amounts for each fruit.
Compare each statement to the data.
Determine the correct statement based on the comparisons.
The correct statement is: None of the provided statements are correct.
Explanation
Understanding the Problem We are given a table showing the amount of carbohydrates in different fruits. We need to determine which statement accurately describes a bar graph representing this data.
Listing Carbohydrate Amounts Let's list the carbohydrate amounts for each fruit:
Apples: 17 grams
Bananas: 34 grams
Cherries: 19 grams
Grapefruit: 24 grams
Oranges: 21 grams
Peaches: 16 grams
Watermelon: 12 grams
Evaluating Each Statement Now, let's evaluate each statement:
"The graph would have only four bars shorter than the bar for grapefruits."
Grapefruit has 24 grams of carbohydrates. The fruits with less carbohydrates are Apples (17), Cherries (19), Oranges (21), Peaches (16), and Watermelon (12). There are five fruits with less carbohydrates than grapefruit, so this statement is false.
"The graph would have five bars taller than the bar for apples."
Apples have 17 grams of carbohydrates. The fruits with more carbohydrates are Bananas (34), Cherries (19), Grapefruit (24), and Oranges (21). There are only four fruits with more carbohydrates than apples, so this statement is false.
"The graph would have grapefruits and oranges as the tallest bars."
The tallest bar would be bananas with 34 grams. Grapefruit has 24 grams and oranges have 21 grams. Therefore, this statement is false.
Re-evaluating the Statements Since none of the provided statements are true, we need to reconsider the first statement. The fruits with less carbohydrates than grapefruit (24 grams) are Apples (17), Cherries (19), Oranges (21), Peaches (16), and Watermelon (12). There are 5 such fruits, not 4. The second statement says that there are five bars taller than the bar for apples (17 grams). The fruits with more carbohydrates than apples are Bananas (34), Cherries (19), Grapefruit (24), and Oranges (21). There are 4 such fruits, not 5. The third statement says that grapefruits and oranges are the tallest bars. This is false because bananas have the most carbohydrates (34 grams).
Final Evaluation Let's re-examine the first statement: "The graph would have only four bars shorter than the bar for grapefruits." The fruits shorter than grapefruit (24 grams) are Apples (17), Cherries (19), Oranges (21), Peaches (16), and Watermelon (12). There are five fruits shorter than grapefruit, not four. Thus, the first statement is incorrect.
Let's re-examine the second statement: "The graph would have five bars taller than the bar for apples." The fruits taller than apples (17 grams) are Bananas (34), Cherries (19), Grapefruit (24), and Oranges (21). There are four fruits taller than apples, not five. Thus, the second statement is incorrect.
Let's re-examine the third statement: "The graph would have grapefruits and oranges as the tallest bars." This is incorrect because bananas (34 grams) have more carbohydrates than both grapefruits (24 grams) and oranges (21 grams).
Conclusion Since none of the provided statements accurately describe the bar graph, there must be an error in the question or the provided options. However, based on the given options, the closest one to being correct (although still incorrect) is the first statement. The number of bars shorter than the bar for grapefruits is 5, which is close to 4. The number of bars taller than the bar for apples is 4, which is close to 5. The third statement is clearly false since bananas have the highest carbohydrate content.
Examples
Bar graphs are commonly used to visually represent data, such as the carbohydrate content of fruits. In real life, this could be used by dietitians to create meal plans for patients with diabetes, helping them choose fruits with lower carbohydrate content to manage their blood sugar levels. Similarly, athletes might use this information to select fruits that provide them with the energy they need for training and competition. Understanding how to interpret bar graphs is essential for making informed decisions about nutrition and health.
None of the provided statements accurately describe the bar graph based on the carbohydrate content of the fruits. Each statement was evaluated, and all were found to be false. Therefore, the conclusion is that there is no correct statement among the options given.
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