Question
I n a statistical study, sixth and seventh graders were asked how many hours of television
they watch over the course of a school week. The results are shown below.
Mean
(hr)
Median
(hr)
6th Grade 16. 5 18
7th Grade 15.75 15
Choose Tru e or False for each statement.
a. You can determine the mode of each set of data just
from the given information.
True False
b. The data for the 6th graders has a low outlier.
True False
c. Fifty percent of the 6th graders report that they
watch more than 18 hours of television per week.
True False
d. You can determine the range of each set of data just
from the information given.
True False
they watch over the course of a school week. The results are shown below.
Mean
(hr)
Median
(hr)
6th Grade 16. 5 18
7th Grade 15.75 15
Choose Tru e or False for each statement.
a. You can determine the mode of each set of data just
from the given information.
True False
b. The data for the 6th graders has a low outlier.
True False
c. Fifty percent of the 6th graders report that they
watch more than 18 hours of television per week.
True False
d. You can determine the range of each set of data just
from the information given.
True False
Answers
GPT-4o mini
Let's analyze each statement one by one based on the provided information about the sixth and seventh graders' television watching hours.
a. **You can determine the mode of each set of data just from the given information.**
- **False**: The mode is the number that appears most frequently in a data set. The information provided includes the mean and median but does not give any information about the frequency of specific values, so we cannot determine the mode.
b. **The data for the 6th graders has a low outlier.**
- **False**: There is no direct evidence in the provided mean and median values to conclude that there is a low outlier. A low outlier would typically manifest as an observation that is significantly lower than the other values, but without the raw data, we cannot assess whether this is the case.
c. **Fifty percent of the 6th graders report that they watch more than 18 hours of television per week.**
- **True**: The median value for the 6th graders is 18 hours. By definition, the median represents the middle value when the data set is ordered. This means that 50% of the 6th graders watch more than 18 hours of television.
d. **You can determine the range of each set of data just from the information given.**
- **False**: The range of a data set is calculated as the difference between the maximum and minimum values. The provided mean and median do not give information regarding extreme values or the spread of the data, so the range cannot be determined.
So the final answers are:
a. **False**
b. **False**
c. **True**
d. **False**
a. **You can determine the mode of each set of data just from the given information.**
- **False**: The mode is the number that appears most frequently in a data set. The information provided includes the mean and median but does not give any information about the frequency of specific values, so we cannot determine the mode.
b. **The data for the 6th graders has a low outlier.**
- **False**: There is no direct evidence in the provided mean and median values to conclude that there is a low outlier. A low outlier would typically manifest as an observation that is significantly lower than the other values, but without the raw data, we cannot assess whether this is the case.
c. **Fifty percent of the 6th graders report that they watch more than 18 hours of television per week.**
- **True**: The median value for the 6th graders is 18 hours. By definition, the median represents the middle value when the data set is ordered. This means that 50% of the 6th graders watch more than 18 hours of television.
d. **You can determine the range of each set of data just from the information given.**
- **False**: The range of a data set is calculated as the difference between the maximum and minimum values. The provided mean and median do not give information regarding extreme values or the spread of the data, so the range cannot be determined.
So the final answers are:
a. **False**
b. **False**
c. **True**
d. **False**