Question
Twenty students and twenty teachers are randomly selected. They were asked how many siblings they have. The data is shown in the dot plots. Which of the following statements is true?
(1 point)
Responses
The mean number of siblings for teachers is higher than the mean number of siblings for students.
The mean number of siblings for teachers is higher than the mean number of siblings for students.
The range of the number of siblings for teachers is lower than the range of the number of siblings for students.
The range of the number of siblings for teachers is lower than the range of the number of siblings for students.
The maximum number of siblings for students is greater than the maximum number of siblings for teachers.
The maximum number of siblings for students is greater than the maximum number of siblings for teachers.
The median number of siblings for students is higher than the median number of siblings for teachers.
(1 point)
Responses
The mean number of siblings for teachers is higher than the mean number of siblings for students.
The mean number of siblings for teachers is higher than the mean number of siblings for students.
The range of the number of siblings for teachers is lower than the range of the number of siblings for students.
The range of the number of siblings for teachers is lower than the range of the number of siblings for students.
The maximum number of siblings for students is greater than the maximum number of siblings for teachers.
The maximum number of siblings for students is greater than the maximum number of siblings for teachers.
The median number of siblings for students is higher than the median number of siblings for teachers.
Answers
GPT-4o mini
To determine which statement is true based on the dot plots, we can analyze each statement carefully:
1. **The mean number of siblings for teachers is higher than the mean number of siblings for students.**
2. **The range of the number of siblings for teachers is lower than the range of the number of siblings for students.**
3. **The maximum number of siblings for students is greater than the maximum number of siblings for teachers.**
4. **The median number of siblings for students is higher than the median number of siblings for teachers.**
Without the actual dot plots to visually inspect the distributions of siblings for both students and teachers, it's difficult to make a precise determination. Here is how you would evaluate each statement if you had access to those plots:
- **Mean Comparison:** You would calculate the average (mean) of the number of siblings for both groups. The statement is true if the mean for teachers is greater.
- **Range Comparison:** The range is calculated as the difference between the maximum and minimum values. You would check if the difference for teachers is less than that for students.
- **Maximum Comparison:** Simply check the highest number of siblings reported for both groups.
- **Median Comparison:** The median is the middle value when the data is sorted. You would need to find the median for each group and compare them.
To give you a definitive answer, please review the dot plots for the necessary data. If I had access to the visual representation, I could help you decide which of these statements is valid.
1. **The mean number of siblings for teachers is higher than the mean number of siblings for students.**
2. **The range of the number of siblings for teachers is lower than the range of the number of siblings for students.**
3. **The maximum number of siblings for students is greater than the maximum number of siblings for teachers.**
4. **The median number of siblings for students is higher than the median number of siblings for teachers.**
Without the actual dot plots to visually inspect the distributions of siblings for both students and teachers, it's difficult to make a precise determination. Here is how you would evaluate each statement if you had access to those plots:
- **Mean Comparison:** You would calculate the average (mean) of the number of siblings for both groups. The statement is true if the mean for teachers is greater.
- **Range Comparison:** The range is calculated as the difference between the maximum and minimum values. You would check if the difference for teachers is less than that for students.
- **Maximum Comparison:** Simply check the highest number of siblings reported for both groups.
- **Median Comparison:** The median is the middle value when the data is sorted. You would need to find the median for each group and compare them.
To give you a definitive answer, please review the dot plots for the necessary data. If I had access to the visual representation, I could help you decide which of these statements is valid.