Question

a school district wanted to compare act scores between two of its schools (school a and school b). the dotplots given summarize the act scores for simple random samples of 30 students from each school. the median score was 22 for both samples. which of the following statements is true about the mean act for each sample? act scores the mean score for the sample from school a is greater than the mean score for the sample from school b. the mean score for the sample from school a is less than the mean score for the sample from school b. we cannot determine the relationship between the mean act scores without knowing the actual scores on the exam.

Explanation:

Step1: Analyze the dot - plots

In school A, the data has more values on the higher - end of the score range compared to school B. Although the median is the same for both samples (22), the distribution of data points matters for the mean. In school A, the right - tail (higher scores) has more data points pulling the mean upwards. In school B, the data is more concentrated around the median with fewer high - scoring outliers.

Answer:

The mean score for the sample from school A is greater than the mean score for the sample from school B.