To determine the median exam score for Ms. Balch's class based on the histogram and distribution shapes, you'll need to visually analyze the skewness of the distribution.
If the histogram is negatively skewed (tail on the left), the median will be to the right of the mean, typically in the higher range. Conversely, if it is positively skewed (tail on the right), the median will be to the left of the mean, typically in the lower range.
Without seeing the actual histograms, I cannot definitively state where the median for Ms. Balch's class would fall.
However, if we consider the choices you provided:
- Between 50 and 60
- Between 60 and 70
- Between 70 and 80
- Between 80 and 90
If Ms. Balch's class has a positively skewed distribution (more lower scores), the median might be expected to fall between 50 and 70. If it is negatively skewed (more higher scores), the median would likely be in the range of 70 to 90.
Choose the appropriate range based on the skewness observed in her histogram. If you believe the distribution is skewed towards the higher scores, you would select between 70 and 80 or between 80 and 90. If it is skewed lower, you would select from the lower ranges.