Answer :
To determine which statement correctly describes the bars on a bar graph representing the data provided, we need to evaluate each statement based on the given contraction counts for various salt concentrations outside the paramecium:
1. Very high concentration: [tex]\(2\)[/tex] contractions per minute.
2. High concentration: [tex]\(8\)[/tex] contractions per minute.
3. Medium concentration: [tex]\(15\)[/tex] contractions per minute.
4. Low concentration: [tex]\(22\)[/tex] contractions per minute.
5. Very low concentration: [tex]\(30\)[/tex] contractions per minute.
Let's consider each statement one by one:
1. The graph has five bars of equal height.
To have five bars of equal height, all contraction counts must be the same. However, the given contraction counts are [tex]\(2, 8, 15, 22,\)[/tex] and [tex]\(30\)[/tex], which are clearly not equal. Therefore, this statement is False.
2. The bars range from tallest for very high concentration to shortest for very low concentration.
This statement implies that the contraction counts decrease as the salt concentration decreases. Specifically, it suggests that the count for very high concentration should be the tallest (i.e., largest) and the count for very low concentration should be the shortest (i.e., smallest). However, the given contraction counts show that very high concentration has the lowest count (2), and very low concentration has the highest count (30). Therefore, this statement is False.
3. The bar for very low concentration is twice the height of the bar for medium concentration.
For this statement to be true, the contraction count for very low concentration should be exactly twice that of medium concentration. Given the data:
- Medium concentration: [tex]\(15\)[/tex] contractions per minute
- Very low concentration: [tex]\(30\)[/tex] contractions per minute
We see that [tex]\(30\)[/tex] is indeed twice [tex]\(15\)[/tex]. Hence, this statement is True.
Based on this evaluation, the correct statement that describes the bars on a bar graph representing the data is:
The bar for very low concentration is twice the height of the bar for medium concentration.
1. Very high concentration: [tex]\(2\)[/tex] contractions per minute.
2. High concentration: [tex]\(8\)[/tex] contractions per minute.
3. Medium concentration: [tex]\(15\)[/tex] contractions per minute.
4. Low concentration: [tex]\(22\)[/tex] contractions per minute.
5. Very low concentration: [tex]\(30\)[/tex] contractions per minute.
Let's consider each statement one by one:
1. The graph has five bars of equal height.
To have five bars of equal height, all contraction counts must be the same. However, the given contraction counts are [tex]\(2, 8, 15, 22,\)[/tex] and [tex]\(30\)[/tex], which are clearly not equal. Therefore, this statement is False.
2. The bars range from tallest for very high concentration to shortest for very low concentration.
This statement implies that the contraction counts decrease as the salt concentration decreases. Specifically, it suggests that the count for very high concentration should be the tallest (i.e., largest) and the count for very low concentration should be the shortest (i.e., smallest). However, the given contraction counts show that very high concentration has the lowest count (2), and very low concentration has the highest count (30). Therefore, this statement is False.
3. The bar for very low concentration is twice the height of the bar for medium concentration.
For this statement to be true, the contraction count for very low concentration should be exactly twice that of medium concentration. Given the data:
- Medium concentration: [tex]\(15\)[/tex] contractions per minute
- Very low concentration: [tex]\(30\)[/tex] contractions per minute
We see that [tex]\(30\)[/tex] is indeed twice [tex]\(15\)[/tex]. Hence, this statement is True.
Based on this evaluation, the correct statement that describes the bars on a bar graph representing the data is:
The bar for very low concentration is twice the height of the bar for medium concentration.