Question

the monthly mean salaries and standard deviations of four college students are given below.

student	mean	standard deviation
abi	$598	8.99
kaila	$812	15.29
shenika	$208	7.67

which statement must be true?
the monthly salary of shenika is less spread out than the monthly salary of clarissa.
the monthly salary of kaila is less spread out than the monthly salary of abi.
the monthly salary of abi is less spread out than the monthly salary of shenika.
the monthly salary of clarissa is less spread out than the monthly salary of abi.

Explanation:

Step1: Understand standard - deviation concept

Standard deviation measures spread.

Step2: Compare standard deviations

Shenika's std dev is 7.67, Clarissa's is 12.53. Since 7.67 < 12.53, Shenika's salary is less spread out.

Answer:

The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.