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Answer :
- List the weights of the 11 players.
- Count the number of players whose weight is strictly less than 163 pounds.
- Compare the count with 5.
- Since the count is 6, the statement is $\boxed{{False}}$.
### Explanation
1. Analyze the problem
We are given a list of weights for 11 players: 150, 154, 157, 158, 160, 161, 163, 164, 166, 167, 168. The question asks whether it is true that five players have a weight lighter than 163 pounds.
2. Identify the goal
To determine if the statement is true, we need to count how many players have a weight strictly less than 163 pounds. We do not include 163 itself.
3. List the relevant weights
Let's list the weights that are less than 163: 150, 154, 157, 158, 160, 161.
4. Count the weights
Now, let's count how many weights are less than 163. We have 150, 154, 157, 158, 160, and 161. There are 6 such weights.
5. Conclusion
Since there are 6 players with a weight less than 163 pounds, the statement 'five players have a weight lighter than 163 pounds' is false.
### Examples
In sports, it's important to know the weight distribution of players. This type of problem helps determine how many players fall into a certain weight category, which can be useful for team strategy or player health monitoring.
- Count the number of players whose weight is strictly less than 163 pounds.
- Compare the count with 5.
- Since the count is 6, the statement is $\boxed{{False}}$.
### Explanation
1. Analyze the problem
We are given a list of weights for 11 players: 150, 154, 157, 158, 160, 161, 163, 164, 166, 167, 168. The question asks whether it is true that five players have a weight lighter than 163 pounds.
2. Identify the goal
To determine if the statement is true, we need to count how many players have a weight strictly less than 163 pounds. We do not include 163 itself.
3. List the relevant weights
Let's list the weights that are less than 163: 150, 154, 157, 158, 160, 161.
4. Count the weights
Now, let's count how many weights are less than 163. We have 150, 154, 157, 158, 160, and 161. There are 6 such weights.
5. Conclusion
Since there are 6 players with a weight less than 163 pounds, the statement 'five players have a weight lighter than 163 pounds' is false.
### Examples
In sports, it's important to know the weight distribution of players. This type of problem helps determine how many players fall into a certain weight category, which can be useful for team strategy or player health monitoring.
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