9. Would it be unusual for a game to have 25 points scored? Justify your answer in terms of the Z-score.
9. Would it be unusual for a game to have 25 points scored? Justify your answer in terms of the Z-score.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
Related questions
Question
![**Question 9:** Would it be unusual for a game to have 25 points scored? Justify your answer in terms of the z-score.
**Analysis:** To answer this question, you would need to know the average (mean) number of points scored in similar games and the standard deviation of those points.
**Z-Score Explanation:**
- The z-score is a statistical measure that indicates how many standard deviations an element is from the mean.
- A z-score of zero represents the mean score, while a z-score of +2 or -2 typically indicates points significantly above or below the average, which may be considered unusual.
- To calculate the z-score, you would use the formula:
\[
z = \frac{X - \mu}{\sigma}
\]
Where:
- \(X\) is the score in question (25 points in this case),
- \(\mu\) is the mean score,
- \(\sigma\) is the standard deviation.
**Conclusion:** Determining if scoring 25 points in a game is unusual depends on the calculated z-score with the available mean and standard deviation data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba6262a5-d997-4fde-9cea-b71e30254a96%2F953f220d-fc02-4262-95cb-4267212ae569%2Fbbp07wv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 9:** Would it be unusual for a game to have 25 points scored? Justify your answer in terms of the z-score.
**Analysis:** To answer this question, you would need to know the average (mean) number of points scored in similar games and the standard deviation of those points.
**Z-Score Explanation:**
- The z-score is a statistical measure that indicates how many standard deviations an element is from the mean.
- A z-score of zero represents the mean score, while a z-score of +2 or -2 typically indicates points significantly above or below the average, which may be considered unusual.
- To calculate the z-score, you would use the formula:
\[
z = \frac{X - \mu}{\sigma}
\]
Where:
- \(X\) is the score in question (25 points in this case),
- \(\mu\) is the mean score,
- \(\sigma\) is the standard deviation.
**Conclusion:** Determining if scoring 25 points in a game is unusual depends on the calculated z-score with the available mean and standard deviation data.
Transcribed Image Text:**Instructions for Educational Use:**
Use the following table for problems 1–10. The numbers represent the scores (in points) for a sample of 10 college basketball games:
- 35
- 66
- 49
- 32
- 57
- 31
- 57
- 39
- 41
- 33
These scores can be used to perform various statistical analyses, such as calculating the mean, median, mode, or range. Students can also create graphs or charts to visualize the distribution of scores.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning