\begin{tabular}{|c|c|}
\hline
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
\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.

D. The graph would have only one bar shorter than the bar for peaches.



Answer :

To analyze the options for the bar graph based on the given data of carbohydrate content, let's examine each statement one by one.

1. The graph would have only four bars shorter than the bar for grapefruits.

For Grapefruits, the bar is at 24 grams. Let's count the bars shorter than 24 grams:
- Apples: 17
- Cherries: 19
- Oranges: 21
- Peaches: 16
- Watermelons: 12

There are 5 bars that are shorter than the grapefruit bar, not 4. Therefore, this statement is false.

2. The graph would have five bars taller than the bar for apples.

For Apples, the bar is at 17 grams. Let's count the bars taller than 17 grams:
- Bananas: 34
- Cherries: 19
- Grapefruit: 24
- Oranges: 21

There are 4 bars that are taller than the apple bar. Therefore, this statement is false.

3. The graph would have grapefruits and oranges as the tallest bars.

To identify the tallest bars, let’s look at the maximum carbohydrate value:
- Apples: 17
- Bananas: 34
- Cherries: 19
- Grapefruit: 24
- Oranges: 21
- Peaches: 16
- Watermelons: 12

The maximum value is 34 grams for Bananas. Thus, the tallest bar belongs only to Bananas. Therefore, this statement is false.

4. The graph would have only one bar shorter than the bar for peaches.

For Peaches, the bar is at 16 grams. Let's count the bars shorter than 16 grams:
- Watermelons: 12

There is exactly 1 bar that is shorter than the peaches bar. Therefore, this statement is true.

Conclusively, the only correct statement which accurately describes the characteristics of the bar graph for the given carbohydrate data is:

The graph would have only one bar shorter than the bar for peaches.