Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The mean game scores and standard deviations of four seasons of a football team are given below.

\begin{tabular}{|c|c|c|}
\hline
Season & Mean & Standard Deviation \\
\hline
2005 & 19 & 3.5 \\
\hline
2006 & 21 & 2.8 \\
\hline
2007 & 12 & 1.0 \\
\hline
2008 & 9 & 4.0 \\
\hline
\end{tabular}

Which statement must be true?

A. The game scores of season 2006 have a greater spread than the game scores of season 2008.

B. The game scores of season 2007 have a greater spread than the game scores of season 2005.

C. The game scores of season 2006 have a greater spread than the game scores of season 2005.

D. The game scores of season 2005 have a greater spread than the game scores of season 2006.

Sagot :

GinnyAnswer
Let's analyze the standard deviations provided in the question to determine which statement is true:

1. Season 2005: Standard Deviation = 3.5
2. Season 2006: Standard Deviation = 2.8
3. Season 2007: Standard Deviation = 1.0
4. Season 2008: Standard Deviation = 4.0

Review the statements one by one in terms of standard deviations:

1. The game scores of season 2006 have a greater spread than the game scores of season 2008.
- Comparing standard deviations: \( 2.8 \) (2006) vs \( 4.0 \) (2008)
- Since \( 2.8 < 4.0 \), this statement is false.

2. The game scores of season 2007 have a greater spread than the game scores of season 2005.
- Comparing standard deviations: \( 1.0 \) (2007) vs \( 3.5 \) (2005)
- Since \( 1.0 < 3.5 \), this statement is false.

3. The game scores of season 2006 have a greater spread than the game scores of season 2005.
- Comparing standard deviations: \( 2.8 \) (2006) vs \( 3.5 \) (2005)
- Since \( 2.8 < 3.5 \), this statement is false.

4. The game scores of season 2005 have a greater spread than the game scores of season 2006.
- Comparing standard deviations: \( 3.5 \) (2005) vs \( 2.8 \) (2006)
- Since \( 3.5 > 2.8 \), this statement is true.

Therefore, the only true statement is:

The game scores of season 2005 have a greater spread than the game scores of season 2006.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.