Question

which of the following are true statements? i. the median of the juniors gpa is equal to the third quartile of the seniors gpa ii. the seniors have the highest gpa. iii. both distributions appear to be left skewed. (a) i only (b) iii only (c) i and ii (d) ii and iii (e) i, ii, and iii

Explanation:

Step1: Recall median and quartile concepts

The median is the middle - value of a data set when ordered. The third quartile ($Q_3$) is the value such that 75% of the data lies below it. Without the actual data or box - and - whisker plots (assuming this is related to a visual representation of data), we can't confirm if the median of juniors' GPA equals the third quartile of seniors' GPA.

Step2: Analyze highest GPA

If we assume we have some visual representation (like a box - and - whisker plot) of the GPA data for juniors and seniors, we can observe the maximum values. If the maximum value of the seniors' GPA distribution is greater than the maximum value of the juniors' GPA distribution, then seniors have the highest GPA.

Step3: Check for left - skewness

In a left - skewed distribution, the tail of the distribution extends to the left. That is, the lower values have a long tail. We would need to look at the shape of the distributions (e.g., from a box - and - whisker plot or a histogram) to determine if both distributions are left - skewed.

Since we have no data or visual representation to confirm statement I, but if we assume from a proper visual that the maximum of seniors' GPA is higher (confirming II) and the distributions are left - skewed (confirming III), the answer is based on II and III being true.

Answer:

D. II and III