Math Problem Statement
Two classes were given identical quizzes.
Class A had a mean score of 8.3 and a standard deviation of 0.4 Class B had a mean score of 8.5 and a standard deviation of 0.8
Which class scored better on average? Select an answer Class A Class B
Which class had more consistent scores? Select an answer Class A Class B
Solution
-
Which class scored better on average?
Answer: Class B
Explanation: Class B has a higher mean score (8.5) compared to Class A's mean score (8.3), indicating that on average, Class B performed better. -
Which class had more consistent scores?
Answer: Class A
Explanation: Consistency in scores is indicated by a lower standard deviation. Class A has a standard deviation of 0.4, which is lower than Class B's standard deviation of 0.8, meaning Class A's scores were more consistent.
Would you like more details on these answers or have further questions?
Here are five additional related questions for practice:
- If Class A’s mean score was increased by 0.3, how would the mean scores of both classes compare?
- What is the probability that a randomly selected student from Class A scored above the mean of Class B?
- If a new student scored 9 in both classes, how would that affect the standard deviation of each class?
- What percentage of students in Class B scored within one standard deviation of the mean?
- If the quiz is out of 10, what percentage of students in Class A likely scored below 8?
Tip: The standard deviation is a measure of variability, and a smaller standard deviation means data points are closer to the mean, indicating more consistency.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Standard Deviation
Formulas
Mean = (Sum of scores) / (Number of scores)
Standard Deviation = sqrt((Sum of (Score - Mean)^2) / (Number of scores))
Theorems
Properties of Mean and Standard Deviation
Suitable Grade Level
Grades 9-10
Related Recommendation
Class Performance Comparison: Mean and Standard Deviation
Comparing Mean and Consistency: Class A vs. Class B
Class A vs. Class B Quiz Scores Analysis: Average and Consistency
Comparing Mean, Median, Mode, Range, and Standard Deviation of Student Grades
Comparing Variability and Normality: Class A vs Class B Exam Scores