Solution:

The box plot in the image provides the following key pieces of information:

a) Median number of marks scored:

The median is represented by the line inside the box. From the box plot, the median corresponds to 50 marks.

b) Interquartile range (IQR):

The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1). From the box plot:

• Q1 (Lower Quartile): 30
• Q3 (Upper Quartile): 70

So, the IQR = Q3 - Q1 = $70 - 30 = 40$.

c) Range of the marks:

The range is the difference between the maximum and minimum values. From the box plot:

• Maximum: 100
• Minimum: 10

So, the range = Maximum - Minimum = $100 - 10 = 90$.

Final Answers:

• a) Median = 50
• b) Interquartile Range = 40
• c) Range = 90

Would you like a more detailed explanation of how box plots work or have any specific questions?

Here are 5 related questions to enhance understanding:

1. What does it mean if the median line is closer to Q1 or Q3 in a box plot?
2. How can outliers be identified using a box plot?
3. Why is the interquartile range considered a better measure of spread than the range?
4. Can a box plot show the distribution shape (e.g., skewness) of the data? If so, how?
5. What are some real-world situations where box plots are used?

Tip: Always use the interquartile range to identify the consistency of data and minimize the influence of outliers.