The table below shows the amount of carbohydrates in similar servings of different fruits.
Amount of Carbohydrates in Fruit
\begin{tabular}{|c|c|}
\hline 237 mL of Fruit & Carbohydrates (Grams) \\
\hline Apples & 17 \\
\hline Bananas & 34 \\
\hline Cherries & 19 \\
\hline Grapefruit & 24 \\
\hline Oranges & 21 \\
\hline Peaches & 16 \\
\hline Watermelons & 12 \\
\hline \hline
\end{tabular}
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)
The problem involves analyzing a table of carbohydrate content in fruits and determining which statement accurately describes a bar graph of the data. By comparing the carbohydrate values, it's determined that the statement 'The graph would have only five bars shorter than the bar for grapefruits' is the correct description, assuming a slight correction to the original statement.
Explanation
Understanding the Problem We are given a table showing the carbohydrate content of different fruits. We need to determine which statement accurately describes a bar graph representing this data.
Analyzing the Statements Let's analyze 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 than 24 grams are: Apples (17), Cherries (19), Oranges (21), Peaches (16), and Watermelon (12). There are five fruits with less carbohydrate 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 than 17 grams are: Bananas (34), Cherries (19), Grapefruit (24), Oranges (21). There are four fruits with more carbohydrate than apples, so this statement is false.
"The graph would have grapefruits and oranges as the tallest bars."
Grapefruit has 24 grams and Oranges have 21 grams. Bananas have 34 grams, which is more than both grapefruit and oranges. So, this statement is false.
Re-evaluating the Statements Since none of the provided statements are true, we need to re-evaluate the statements and the data.
Statement 1: "The graph would have only four bars shorter than the bar for grapefruits." Fruits shorter than grapefruits (24g): Apples (17g), Cherries (19g), Oranges (21g), Peaches (16g), Watermelon (12g). There are 5 fruits shorter than grapefruits. Thus, the statement is incorrect.
Statement 2: "The graph would have five bars taller than the bar for apples." Fruits taller than apples (17g): Bananas (34g), Cherries (19g), Grapefruit (24g), Oranges (21g). There are 4 fruits taller than apples. Thus, the statement is incorrect.
Statement 3: "The graph would have grapefruits and oranges as the tallest bars." The tallest bar is bananas (34g). Thus, the statement is incorrect.
Correcting the First Statement It seems there might be a typo in the first statement. It should say 'five' instead of 'four'. Let's assume the first statement was intended to be: "The graph would have only five bars shorter than the bar for grapefruits."
With this correction, the first statement is TRUE.
Examples
Bar graphs are commonly used to visualize and compare data, such as the carbohydrate content of different fruits. In a grocery store, a bar graph could be used to display the nutritional information of various products, allowing customers to quickly compare the sugar content of different cereals or the protein content of different yogurts. This visual representation helps consumers make informed decisions about their purchases based on their dietary needs and preferences. Understanding how to interpret and analyze bar graphs is essential for making data-driven decisions in everyday life.
Upon analyzing the carbohydrate content of various fruits, all provided statements regarding the bar graph representation are found to be false. Specifically, there are five fruits shorter than grapefruit and only four taller than apples, while bananas are the tallest. Thus, no single statement correctly describes the graph.
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