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 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: Recall 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 is 12.53, Abi's is 8.99, Kaila's is 15.29, and Shenika's is 7.67. We compare the values: 7.67 (Shenika) < 8.99 (Abi) < 12.53 (Clarissa) < 15.29 (Kaila). Since 7.67 (Shenika's standard - deviation) < 12.53 (Clarissa's standard - deviation), 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.