Question

here are boxplots of sat critical reading and math scores for a randomly - selected group of female juniors at a highly competitive suburban high school. multiple choice 1 point the distribution must be bimodal. the distribution must have an outlier. which of the following cannot be justified by the plots? critical reading scores are skewed to the right, whereas math scores are somewhat skewed to the left. the maximum critical reading score is greater than the maximum math score. there appear to be no outliers in the distributions of sat critical reading score. the mean critical reading score and the mean math score for females are about the same. the median critical reading score and the median math score for females are about the same.

Explanation:

Step1: Analyze box - plot features

Box - plots show the distribution characteristics such as median, quartiles, and potential outliers. We need to check each statement against the box - plot.

Step2: Check for skewness

The box - plot of Math scores is not symmetric but has a longer tail on the left side, indicating left - skewness. The Critical Reading scores box - plot has a more symmetric appearance.

Step3: Check for outliers

There are no points outside the whiskers in the box - plots, so there are no outliers.

Step4: Compare maximums

The maximum of the Critical Reading scores is greater than the maximum of the Math scores.

Step5: Compare means and medians

The median of Critical Reading and Math scores for females appears to be about the same.

Answer:

The statement "There appear to be no outliers in the distributions of SAT Critical Reading scores" is justified by the box - plots as there are no points outside the whiskers of the box - plots for SAT Critical Reading scores.