the monthly mean salaries and standard deviations of four college students are given below.\n| student |…

the monthly mean salaries and standard deviations of four college students are given below.\n| student | mean | standard deviation |\n|--|--|--|\n| clarissa | $345 | 12.53 |\n| abi | $598 | 8.99 |\n| kaila | $812 | 15.29 |\n| shenika | $208 | 7.67 |\nwhich statement must be true?\no the monthly salary of shenika is less spread out than the monthly salary of clarissa.\no the monthly salary of kaila is less spread out than the monthly salary of abi.\no the monthly salary of abi is less spread out than the monthly salary of shenika.\no the monthly salary of clarissa is less spread out than the monthly salary of abi.

the monthly mean salaries and standard deviations of four college students are given below.\n| student | mean | standard deviation |\n|--|--|--|\n| clarissa | $345 | 12.53 |\n| abi | $598 | 8.99 |\n| kaila | $812 | 15.29 |\n| shenika | $208 | 7.67 |\nwhich statement must be true?\no the monthly salary of shenika is less spread out than the monthly salary of clarissa.\no the monthly salary of kaila is less spread out than the monthly salary of abi.\no the monthly salary of abi is less spread out than the monthly salary of shenika.\no the monthly salary of clarissa is less spread out than the monthly salary of abi.

Answer

Explanation:

Step1: Understand standard - deviation concept

Standard deviation measures the spread of data. A smaller standard deviation means the data is less spread out.

Step2: Compare standard deviations

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 see that $7.67<12.53$, which means Shenika's monthly salary is less spread out than Clarissa's.

Answer:

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