Question
Use the images to answer the question.
A histogram is titled 'Exam Scores per Student in Mr. Hanley's Class.' The x-axis ranges from 40 to 100 by 10-unit increments and the y-axis ranges from 0 to 8 by 2-unit increments. The x-axis is labeled 'Exam Scores' and the y-axis is unlabeled.
A histogram is titled 'Exam Scores per Student in Ms. Blach's Class.' The x-axis ranges from 40 to 100 by 10-unit increments and the y-axis ranges from 0 to 5 by increments of 1. The x-axis is labeled 'Exam Scores' and the y-axis is unlabeled.
Compare the skewed distributions. Mr. Hanley and Ms. Balch gave the same Algebra final exam to their classes. The histograms show the distribution of the scores for each class. In which range would you expect to find the median exam score for Ms. Balch’s class?
(1 point)
Responses
between 60 and 70
between 60 and 70
between 80 and 90
between 80 and 90
between 50 and 60
between 50 and 60
between 70 and 80
between 70 and 80
A histogram is titled 'Exam Scores per Student in Mr. Hanley's Class.' The x-axis ranges from 40 to 100 by 10-unit increments and the y-axis ranges from 0 to 8 by 2-unit increments. The x-axis is labeled 'Exam Scores' and the y-axis is unlabeled.
A histogram is titled 'Exam Scores per Student in Ms. Blach's Class.' The x-axis ranges from 40 to 100 by 10-unit increments and the y-axis ranges from 0 to 5 by increments of 1. The x-axis is labeled 'Exam Scores' and the y-axis is unlabeled.
Compare the skewed distributions. Mr. Hanley and Ms. Balch gave the same Algebra final exam to their classes. The histograms show the distribution of the scores for each class. In which range would you expect to find the median exam score for Ms. Balch’s class?
(1 point)
Responses
between 60 and 70
between 60 and 70
between 80 and 90
between 80 and 90
between 50 and 60
between 50 and 60
between 70 and 80
between 70 and 80
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the expected median exam score for Ms. Blach's class based on the histogram described, we need to analyze the distribution of the scores.
Given that the distribution in Ms. Blach's class is skewed, it is important to consider how skewness affects median placement. If the histogram shows a skew to the right (having more lower scores and fewer higher scores), the median will typically be less than the mean. Conversely, if the histogram shows a skew to the left (having more higher scores and fewer lower scores), the median will typically be greater than the mean.
Since histogram specifics are not detailed in your description, we will make some inferences based on potential skewness. If the scores tend to cluster in the lower range (40-70), with fewer students achieving higher scores (70-100), we might expect the median exam score to be in the lower range.
Considering this and likely trends in exam performances, I would lean towards the conclusion that the median score for Ms. Blach's class is likely between **70 and 80**, especially if the distribution shows a significant number of students scoring above this range but not many scoring in the lower ranges.
Thus, the best expected range for the median exam score for Ms. Blach’s class would be:
**between 70 and 80**
Given that the distribution in Ms. Blach's class is skewed, it is important to consider how skewness affects median placement. If the histogram shows a skew to the right (having more lower scores and fewer higher scores), the median will typically be less than the mean. Conversely, if the histogram shows a skew to the left (having more higher scores and fewer lower scores), the median will typically be greater than the mean.
Since histogram specifics are not detailed in your description, we will make some inferences based on potential skewness. If the scores tend to cluster in the lower range (40-70), with fewer students achieving higher scores (70-100), we might expect the median exam score to be in the lower range.
Considering this and likely trends in exam performances, I would lean towards the conclusion that the median score for Ms. Blach's class is likely between **70 and 80**, especially if the distribution shows a significant number of students scoring above this range but not many scoring in the lower ranges.
Thus, the best expected range for the median exam score for Ms. Blach’s class would be:
**between 70 and 80**
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