To determine which statement is true about the spread of the monthly salaries of the four college students, we need to compare their standard deviations. The standard deviation measures the amount of variation or dispersion of a set of values. A lower standard deviation indicates that the values are closer to the mean.
Given:
- Clarissa's standard deviation: 12.53
- Abi's standard deviation: 8.99
- Kaila's standard deviation: 15.29
- Shenika's standard deviation: 7.67
We are asked to evaluate the following statements:
1. The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
2. The monthly salary of Kaila is less spread out than the monthly salary of Abi.
3. The monthly salary of Abi is less spread out than the monthly salary of Shenika.
4. The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Now, let's examine each statement:
1. Comparison between Shenika and Clarissa:
- Shenika's standard deviation: 7.67
- Clarissa's standard deviation: 12.53
- Since 7.67 < 12.53, Shenika's salary is less spread out than Clarissa's salary. This statement is true.
2. Comparison between Kaila and Abi:
- Kaila's standard deviation: 15.29
- Abi's standard deviation: 8.99
- Since 15.29 is not less than 8.99, Kaila's salary is not less spread out than Abi's salary. This statement is false.
3. Comparison between Abi and Shenika:
- Abi's standard deviation: 8.99
- Shenika's standard deviation: 7.67
- Since 8.99 is not less than 7.67, Abi's salary is not less spread out than Shenika's salary. This statement is false.
4. Comparison between Clarissa and Abi:
- Clarissa's standard deviation: 12.53
- Abi's standard deviation: 8.99
- Since 12.53 is not less than 8.99, Clarissa's salary is not less spread out than Abi's salary. This statement is false.
After evaluating all the statements, we find that the only true statement is:
1. The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Hence, the correct answer is statement 1.
