Answer :
Let's analyze each of the given statements in relation to the provided survey data to determine which is true:
1. Statement A: "Moose" is equally popular with students and teachers.
To verify this statement, we need to compare the number of students and teachers who prefer "Moose".
- According to the survey, 10 students prefer "Moose".
- Similarly, 10 teachers prefer "Moose".
Since both the number of students and teachers preferring "Moose" is the same (10), this statement is true.
2. Statement B: There is no difference between the preferences of students and teachers.
To verify this statement, we need to examine the overall preferences:
- Students: 90 prefer "Shark", 10 prefer "Moose".
- Teachers: 5 prefer "Shark", 10 prefer "Moose".
There is a clear difference between the preferences of students and teachers:
- Students overwhelmingly prefer "Shark" (90 to 10).
- Teachers have a slight preference for "Moose" (10 to 5).
Therefore, this statement is false.
3. Statement C: "Shark" is more popular with students, but "moose" is more popular with teachers.
To verify this statement:
- Check if "Shark" is more popular with students: Yes, 90 students prefer "Shark", while 10 prefer "Moose".
- Check if "Moose" is more popular with teachers: Yes, 10 teachers prefer "Moose", while only 5 prefer "Shark".
Since both conditions are met, this statement is true.
4. Statement D: "Moose" is more popular with students, but "shark" is more popular with teachers.
To verify this statement:
- Check if "Moose" is more popular with students: No, only 10 students prefer "Moose", while 90 prefer "Shark".
- Although "Shark" is indeed more popular with teachers (5 to 10), the first condition is not met.
Thus, this statement is false.
Based on the above analysis:
- Statement A: True
- Statement B: False
- Statement C: True
- Statement D: False
Thus, the correct statements are A and C.
1. Statement A: "Moose" is equally popular with students and teachers.
To verify this statement, we need to compare the number of students and teachers who prefer "Moose".
- According to the survey, 10 students prefer "Moose".
- Similarly, 10 teachers prefer "Moose".
Since both the number of students and teachers preferring "Moose" is the same (10), this statement is true.
2. Statement B: There is no difference between the preferences of students and teachers.
To verify this statement, we need to examine the overall preferences:
- Students: 90 prefer "Shark", 10 prefer "Moose".
- Teachers: 5 prefer "Shark", 10 prefer "Moose".
There is a clear difference between the preferences of students and teachers:
- Students overwhelmingly prefer "Shark" (90 to 10).
- Teachers have a slight preference for "Moose" (10 to 5).
Therefore, this statement is false.
3. Statement C: "Shark" is more popular with students, but "moose" is more popular with teachers.
To verify this statement:
- Check if "Shark" is more popular with students: Yes, 90 students prefer "Shark", while 10 prefer "Moose".
- Check if "Moose" is more popular with teachers: Yes, 10 teachers prefer "Moose", while only 5 prefer "Shark".
Since both conditions are met, this statement is true.
4. Statement D: "Moose" is more popular with students, but "shark" is more popular with teachers.
To verify this statement:
- Check if "Moose" is more popular with students: No, only 10 students prefer "Moose", while 90 prefer "Shark".
- Although "Shark" is indeed more popular with teachers (5 to 10), the first condition is not met.
Thus, this statement is false.
Based on the above analysis:
- Statement A: True
- Statement B: False
- Statement C: True
- Statement D: False
Thus, the correct statements are A and C.