The monthly mean salaries and standard deviations of four college students are given. Student Mean Standard Deviation Clarissa 345 dollars 12 point 5 3 Abi 598 dollars 8 point 9 9 Kaila 812 dollars 15 point 2 9 Shenika 208 dollars 7 point 6 7 Which statement must be true?
Answer
A
The monthly salary of Kaila is less spread out than the monthly salary of Abi.
B
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
C
The monthly salary of Abi is less spread out than the monthly salary of Shenika.
D
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Explanation
Standard deviation measures how spread out salaries are around the mean; a smaller standard deviation means less spread. Shenika’s standard deviation is 7.67 dollars, which is less than Clarissa’s 12.53 dollars. Therefore, Shenika’s monthly salary is less spread out than Clarissa’s.
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