Question 31 of 40

If a data set contains three points, and two of the residuals are 18 and 36, the third residual is 54.

A. True
B. False



Answer :

To determine if the statement is true or false, we need to analyze the information given about the residuals of the data set.

Here’s a structured approach to solving the problem:

1. Understand the Residuals Provided:
- The residuals provided are 18, 36, and 54.

2. Forming the Data Set:
- We have a total of three residuals mentioned: 18, 36, and 54.

3. Verify the Condition:
- According to the problem, we need to check if it's true that, given two residuals (18 and 36), the third residual must be 54.
- In the problem, all three residuals (18, 36, and 54) are provided. The question implies checking whether these three residuals together form a valid set.

4. Check the Consistency:
- Let’s gather our residuals into a list: [18, 36, 54].

5. Conclusion:
- Since we are given these specific residuals (18, 36, and 54) as the components of the data set and they correctly fulfill the specified condition (having three such residuals), we conclude that it is true.

So, the answer to the question is:
OA. True