To determine the percentage of students who scored above 72 based on the box-and-whisker plot, let’s analyze the data provided in the image:

1. Understanding the Box-and-Whisker Plot:

   • The plot divides the data into quartiles.
   • Median (middle value) is 88.
   • The lower quartile (Q1) is 72.
   • The upper quartile (Q3) is 96.
   • The whiskers extend to 38 (minimum) and 102 (maximum).

2. Key Information:

   • The lower quartile (Q1) marks the point where 25% of the data lies below this value.
   • This means that 75% of the scores are above 72 (since 100% - 25% = 75%).

Answer:

75% of the class scored above 72.

Let me know if you would like me to break this down further or answer related questions.

Here are 5 related questions to extend understanding:

1. What percentage of the class scored between 72 and 96?
2. What is the interquartile range (IQR) for the scores?
3. How would you interpret the significance of the median score?
4. How many students scored below the median if the class has 20 students?
5. What percentage of students scored above 96?

Tip: Box-and-whisker plots are great for visualizing data distribution and identifying outliers!