Question
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 50 and 60 between 50 and 60 between 70 and 80 between 70 and 80 between 60 and 70 between 60 and 70 between 80 and 90
Answers
GPT-4o mini
To determine the expected range for the median exam score for Ms. Balch’s class based on a histogram, you'd typically look for the point at which half of the scores are above and half are below.
If the histogram is skewed (either to the left or right), it’s also important to consider the shape of the distribution. For a right-skewed distribution, the median is usually lower than the mean, and for a left-skewed distribution, the median is usually higher than the mean.
Without seeing the actual histograms for Mr. Hanley's and Ms. Balch’s classes, I can’t definitively state the expected range of the median. However, if Ms. Balch's histogram shows a concentration of scores that peak between 60 and 70, it would suggest that the median likely falls in that range as well.
Given the provided options, if Ms. Balch’s class histogram peaks between those scores, you would likely expect to find the median exam score for Ms. Balch’s class in the range of:
- **between 60 and 70.**
If the distribution were skewed in a way that suggested a different range, that could change. The final determination would rely on the visual data presented in the histogram.
If the histogram is skewed (either to the left or right), it’s also important to consider the shape of the distribution. For a right-skewed distribution, the median is usually lower than the mean, and for a left-skewed distribution, the median is usually higher than the mean.
Without seeing the actual histograms for Mr. Hanley's and Ms. Balch’s classes, I can’t definitively state the expected range of the median. However, if Ms. Balch's histogram shows a concentration of scores that peak between 60 and 70, it would suggest that the median likely falls in that range as well.
Given the provided options, if Ms. Balch’s class histogram peaks between those scores, you would likely expect to find the median exam score for Ms. Balch’s class in the range of:
- **between 60 and 70.**
If the distribution were skewed in a way that suggested a different range, that could change. The final determination would rely on the visual data presented in the histogram.