Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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

\begin{tabular}{|c|c|c|}
\hline
Student & Mean & Standard Deviation \\
\hline
Clarissa & \[tex]$345 & 12.53 \\
\hline
Abi & \$[/tex]598 & 8.99 \\
\hline
Kaila & \[tex]$812 & 15.29 \\
\hline
Shenika & \$[/tex]208 & 7.67 \\
\hline
\end{tabular}

Which statement must be true?

A. The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
B. The monthly salary of Kaila 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 Clarissa is less spread out than the monthly salary of Abi.

Sagot :

GinnyAnswer
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.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.