Maria's math teacher gives 8 quizzes that are each worth 10 points. Maria's quiz scores are shown. To compute the semester quiz average, the teacher drops the highest and the lowest scores and computes the average (arithmetic mean) of the remaining scores. What is Maria's semester quiz average?
Maria's semester quiz average is 6.
To calculate Maria's semester average, we first drop her highest and lowest quiz scores and then find the average of the remaining scores. This method ensures that extreme scores do not skew the average, providing a more accurate representation of her overall performance.
A semester average of 5 would imply that the sum of the remaining scores after dropping the highest and lowest is significantly lower than what is plausible given her quiz scores. This average does not reflect a realistic calculation based on typical quiz results.
This choice correctly represents the average of the quizzes after dropping the highest and lowest scores. By calculating the sum of the remaining scores and dividing by the number of quizzes considered, we achieve an average of 6, confirming this choice as accurate.
An average of 7 would suggest that the scores remaining after dropping the highest and lowest values were higher than they actually are, indicating a miscalculation. To reach this average, the scores considered must add up to a total that does not align with the actual data.
An average of 8 indicates that the scores remaining after dropping the extremes were unrealistically high. Given the structure of the quiz scores, this average cannot be correct, as it does not reflect the actual performance across the quizzes.
Maria's semester quiz average is calculated by excluding her highest and lowest scores, resulting in an accurate average of 6. The other options, while plausible at first glance, do not reflect the true average calculation based on her quiz performance. This method of averaging provides a fair assessment of her overall achievement in the quizzes.
Related Questions
View allSome of the results of a taste-test survey of three soft drinks, A, B,...
Yoko is planning a trip from New York to Tokyo. She will travel on a c...
Which of the following best describes a strategy the speaker uses to p...
White blood cells are of primary importance in which of the following...
A truck driver drove 225 miles at an average speed of 50 miles per hou...
Related Quizzes
View allPraxis 5001 Test with Answers
Praxis 5002 Study Guide
5002 Praxis Practice Test
Reading & Language Arts Praxis 5002
Praxis 5002 Reading and Language Arts Exam
Praxis 5003 Exam with Outline
5003 Praxis Math Answers
Praxis 5003 Study Guide
Praxis Social Studies 5004
Praxis 5004 Social Studies
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations