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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 70 and 80
between 70 and 80

between 80 and 90
between 80 and 90

between 60 and 70
between 60 and 70

between 50 and 60

1 answer

To determine the expected range of the median exam score for Ms. Blach's class based on the provided histogram description, we need to analyze the characteristics of her class's score distribution.

  1. Understanding His Histogram: The description does not provide a specific shape for Ms. Blach's histogram but mentions that the y-axis ranges from 0 to 5, with lower frequency counts compared to Mr. Hanley's histogram, which ranges from 0 to 8 and may suggest a more spread-out distribution over scores.

  2. Comparing Class Performances: If Mr. Hanley’s class has scores that might be more evenly distributed (potentially indicative of a higher median if there are more scores in the higher ranges), and if Ms. Blach's class has a peak at a lower score range, then we can surmise that the median score for Ms. Blach's class falls on the lower end of the scale.

  3. Histogram Outcome: Given that Ms. Blach's histogram shows a maximum count of 5, a dent at lower score ranges is likely. This indicates a left-skewed distribution where many students have lower scores.

Based on this reasoning, I would expect the median score for Ms. Blach’s class to likely fall within the range of between 60 and 70.