Question
The stem and leaf plot will be used to determine if the next four statements are true or false.
Fish Eaten by Dolphins
(Pounds)
Stem | Leaf
1 8 9
2 0 2 6
3 1 4
Key 2 | 0 = 20 pounds
The greatest amount eaten by the dolphins is 34 pounds.
A. True
B. False
Fifty percent of the dolphins ate less than 20 pounds of fish.
A. True
B. False
The stem and leaf plot shows the amount eaten by 10 dolphins.
A. True
B. False
The median of the data is 22.
A. True
B. False
Fish Eaten by Dolphins
(Pounds)
Stem | Leaf
1 8 9
2 0 2 6
3 1 4
Key 2 | 0 = 20 pounds
The greatest amount eaten by the dolphins is 34 pounds.
A. True
B. False
Fifty percent of the dolphins ate less than 20 pounds of fish.
A. True
B. False
The stem and leaf plot shows the amount eaten by 10 dolphins.
A. True
B. False
The median of the data is 22.
A. True
B. False
Answers
GPT-4o mini
Let's analyze the stem and leaf plot data for the amounts of fish eaten by dolphins, which are represented in pounds as follows:
- **Stem 1**: Leaf 8, 9 → **18, 19**
- **Stem 2**: Leaf 0, 2, 6 → **20, 22, 26**
- **Stem 3**: Leaf 1, 4 → **31, 34**
The complete list of amounts eaten by the dolphins is:
- **18, 19, 20, 22, 26, 31, 34**
Now let's evaluate each statement:
1. **The greatest amount eaten by the dolphins is 34 pounds.**
- This is **True**. The greatest value in the data is indeed 34 pounds.
2. **Fifty percent of the dolphins ate less than 20 pounds of fish.**
- The values less than 20 pounds are **18** and **19** (two values). The total number of dolphins is **7**.
- Therefore, 2 out of 7 (approximately 28.57%) ate less than 20, which is not 50%.
- This is **False**.
3. **The stem and leaf plot shows the amount eaten by 10 dolphins.**
- The data shows amounts from **7 dolphins** (18, 19, 20, 22, 26, 31, 34).
- This is **False**.
4. **The median of the data is 22.**
- Ordered list of data: **18, 19, 20, 22, 26, 31, 34**. There are 7 values.
- The median is the 4th value in a sorted list, which is **22**.
- This is **True**.
Now that we have assessed each statement, here are the answers summarized:
1. **True**
2. **False**
3. **False**
4. **True**
- **Stem 1**: Leaf 8, 9 → **18, 19**
- **Stem 2**: Leaf 0, 2, 6 → **20, 22, 26**
- **Stem 3**: Leaf 1, 4 → **31, 34**
The complete list of amounts eaten by the dolphins is:
- **18, 19, 20, 22, 26, 31, 34**
Now let's evaluate each statement:
1. **The greatest amount eaten by the dolphins is 34 pounds.**
- This is **True**. The greatest value in the data is indeed 34 pounds.
2. **Fifty percent of the dolphins ate less than 20 pounds of fish.**
- The values less than 20 pounds are **18** and **19** (two values). The total number of dolphins is **7**.
- Therefore, 2 out of 7 (approximately 28.57%) ate less than 20, which is not 50%.
- This is **False**.
3. **The stem and leaf plot shows the amount eaten by 10 dolphins.**
- The data shows amounts from **7 dolphins** (18, 19, 20, 22, 26, 31, 34).
- This is **False**.
4. **The median of the data is 22.**
- Ordered list of data: **18, 19, 20, 22, 26, 31, 34**. There are 7 values.
- The median is the 4th value in a sorted list, which is **22**.
- This is **True**.
Now that we have assessed each statement, here are the answers summarized:
1. **True**
2. **False**
3. **False**
4. **True**