To determine the median exam score for Ms. Balch's class based on the skewed distribution shown in the histogram, we need to analyze the shape of the distribution.
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Identifying the Skewness:
- If the histogram is right-skewed, it has a longer tail on the right side, meaning that the majority of the scores are clustered towards the lower end while a few high scores pull the mean higher. In this case, the median would typically be less than the mean and would fall closer to the lower range of scores.
- If the histogram is left-skewed, it has a longer tail on the left side, implying that the majority of scores are clustered towards the higher end while a few low scores pull the mean lower. In this scenario, the median would typically be greater than the mean and would likely fall towards the higher range of scores.
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Finding the Median:
- The median score is the value that divides the distribution into two equal halves, meaning that 50% of the scores fall below it and 50% above it.
- Depending on whether Ms. Balch's class's histogram is right or left-skewed, you can estimate where the median would lie within the distribution range.
Without the actual visual of the histograms for each class, it is impossible to provide a specific range for the median exam score for Ms. Balch’s class. However, you should analyze the skew direction in her class's histogram and apply the aforementioned principles to make an informed estimate of the range in which the median is likely to fall.
If you provide more details about the shape of the distribution for Ms. Balch's class, I would be able to give more precise guidance on estimating the median.