To calculate the relative frequency, we first need to understand that the relative frequency is the proportion of the total that a particular frequency represents. It is calculated as:

$\text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Frequency}}$

Step 1: Calculate the total frequency

$\text{Total Frequency} = 4 + 5 + 10 + 2 + 2 + 1 + 1 = 25$

The total number of students is 25, as expected.

Step 2: Calculate the relative frequency for each number of books read

For each number of books read, we divide its frequency by the total (25):

Step 3: Construct the relative frequency histogram

We will now plot the relative frequency histogram using the data calculated above.

I'll generate the histogram for you.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can create the relative frequency histogram manually using the data from the table:

You can plot this on graph paper, labeling the x-axis as "Number of Books Read" and the y-axis as "Relative Frequency."

Would you like more details or have any questions? Here are some related questions:

1. How is a relative frequency different from an absolute frequency?
2. What is the importance of using relative frequencies in statistics?
3. How can you interpret a relative frequency histogram?
4. How do you calculate cumulative frequency?
5. Can you explain how histograms differ from bar charts?

Tip: Always ensure that the total of all relative frequencies adds up to 1 (or 100% in percentage terms).