Final answer:
Mean: 1
Median: Freshman
Mode: No mode
Step-by-step explanation:
To find the mean, median, and mode of the data, let's first organize the data:
Freshman: 11
Sophomore: 3
Junior: 7
Senior: 10
Mean:
Mean (average) is calculated by adding up all the values and dividing by the total number of values.
Mean = (11 + 3 + 7 + 10) / 31 = 31 / 31 = 1
So, the mean is 1.
Median:
The median is the middle value when the data is arranged in ascending or descending order. Since the data is not presented in order, let's rearrange it:
Sophomore: 3
Freshman: 11
Junior: 7
Senior: 10
There are 31 students, an odd number, so the median is the middle value, which is the 16th value.
The 16th value is in the Freshman category, so the median is Freshman.
Mode:
Mode is the value(s) that occur most frequently.
The data doesn't have a mode because none of the class levels repeat.
Regarding the correct mode from the given options (Senior, Junior, Freshman, Sophomore), none of them is the mode for this dataset since there is no repeated class level.
Complete question:
The class levels of 31 students in a physics course are shown below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found, explain why.
Freshman: 11 Junior: 7
Sophomore: 3 Senior: 10
Choose the correct mode of the data below. Senior Junior Freshman Sophomore