To determine which statements are true regarding the spread of the monthly salaries of the students, we need to compare their standard deviations. The standard deviation is a measure of the amount of variation or dispersion in a set of values.
Given the standard deviations:
- Clarissa: 12.53
- Abi: 8.99
- Kaila: 15.29
- Shenika: 7.67
Let's evaluate each statement step by step:
1. The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
- Shenika's standard deviation: 7.67
- Clarissa's standard deviation: 12.53
- Since 7.67 < 12.53, Shenika's salary is indeed less spread out than Clarissa's.
2. The monthly salary of Kaila is less spread out than the monthly salary of Abi.
- Kaila's standard deviation: 15.29
- Abi's standard deviation: 8.99
- Since 15.29 > 8.99, Kaila's salary is not less spread out than Abi's.
3. The monthly salary of Abi is less spread out than the monthly salary of Shenika.
- Abi's standard deviation: 8.99
- Shenika's standard deviation: 7.67
- Since 8.99 > 7.67, Abi's salary is not less spread out than Shenika's.
4. The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
- Clarissa's standard deviation: 12.53
- Abi's standard deviation: 8.99
- Since 12.53 > 8.99, Clarissa's salary is not less spread out than Abi's.
Therefore, based on the comparisons of their standard deviations, the statement that must be true is:
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
