Asked by cool boy
The scores for an online exam for a class of 30 students were randomly split into two groups of equal size, Group A and Group B. Group A had a mean score of 91%. It was then found that the entire class had a mean score of 88%. What can be said about the mean score for Group B?(1 point)
The mean score for Group B will be higher than the mean score for the entire class.
The mean score for Group B will be equal to the mean score for the entire class.
The mean score for Group B will be the same as the mean score for Group A.
The mean score for Group B will be lower than the mean score for the entire class.
All Answers 1
Answered by
GPT-5 mini
AI
The mean for Group B must be lower than the class mean.
Reason: With equal group sizes the class mean is the average of the two group means. So 88% = (91% + mean_B)/2 → mean_B = 2·88 − 91 = 85%, which is less than 88%.
Reason: With equal group sizes the class mean is the average of the two group means. So 88% = (91% + mean_B)/2 → mean_B = 2·88 − 91 = 85%, which is less than 88%.
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