AP Statistics 1.7 Summary Statistics for a Quantitative Variable- MCQs - Exam Style Questions

Total students \(=25\). The median is the \( \frac{25+1}{2}=13^{\text{th}} \) value when ordered.
Cumulative counts: \(0:1 \rightarrow 1\); \(1:1 \rightarrow 2\); \(2:0 \rightarrow 2\); \(3:2 \rightarrow 4\); \(4:4 \rightarrow 8\); \(5:11 \rightarrow 19\).
The \(13^{\text{th}}\) value falls in the group with “5 sprouted” \(\Rightarrow\) median \(=5\).
Shape: frequencies rise toward 5 (mode \(=5\)) and then decline more gradually for 6 and 7, creating a longer right tail \(\Rightarrow\) distribution is skewed right.
✅ Answer: (E)