For a class with multiple students of varying heights, the following two statements are made:

Statement A: The tallest student in the class is taller than the average height of the class.

Statement B: The shortest student in the class is shorter than the average height of the class.

Which statement is an example of a situation that is certain to happen?

O a. Only A

b. Only B

Oc. Both A and B

Od. Neither A nor B

To determine which statement is certain to happen, we analyze each one separately.

### Statement A: The tallest student in the class is taller than the average height of the class.
This statement can be explained with basic properties of averages and individual measurements in a set of data. In any data set, the maximum value (tallest student) will always be greater than or equal to the average value. For it to be equal, all students must have the same height, which is an extreme case and unlikely in a normal classroom scenario. Thus, generally, the tallest student will be taller than the average height.

### Statement B: The shortest student in the class is shorter than the average height of the class.
This statement can be analyzed similarly. The minimum value (shortest student) will always be less than or equal to the average height. For it to be equal, again, all students must have the same height. Typically, in a class with varying heights, the shortest student will be shorter than the average height.

### Conclusion:
- **Statement A** is almost always true, as the tallest student is typically taller than the average.
- **Statement B** is almost always true, as the shortest student is typically shorter than the average.

However, in the context of "certain to happen," both statements are indeed true for any set of varying heights, provided there is more than one student and their heights are not all identical.

Thus, the correct answer is:

**c. Both A and B**

Would you like more details or have any questions?

Here are 5 related questions you might ask next:
1. How do you calculate the average height of a class?
2. What are some examples of real-life applications of averages?
3. Can the average height be the same as the height of the tallest student?
4. What statistical methods are used to analyze height variations in a population?
5. How does the median height compare to the average height?

**Tip:** When interpreting statistical statements, consider the properties of averages and the distribution of values in the data set.

Explore the certainty of statements regarding the tallest and shortest students' heights compared to the average height in a classroom setting. Learn about statistical concepts such as averages and inequalities with practical examples.

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