  ### Home > CC2 > Chapter 8 > Lesson 8.1.1 > Problem8-13

8-13.

Mrs. Ferguson, your school librarian, asks you to conduct a survey of how many books students read during the year. You get the following results: $12$, $24$, $10$, $32$, $12$, $4$, $35$, $10$, $8$, $12$, $15$, $20$, $18$, $25$, $21$, and $9$.

1. Use the data to create a histogram. Use a bin width of $10$ books. (Remember, if a value falls on the line, place it in the upper bin.)

Try putting the data in order to make creating the histogram easier.

What are the two axes of the histogram? How can you arrange the data to fit these two axes?

2. Is the mean or median a better measure of the center? Find the value of whichever is more appropriate.

Remember that the mean is the average of the data, and the median is the value in the middle of all the data.

Because the data is almost symmetric with no outliers, either the mean or median is appropriate.
$\text{Mean}\approx16.69$ books
$\text{Median}=13.5$ books

3. Make a box plot of the data.

Think of the parts of a box plot. How can you use the data to create one?

4. Describe the center, shape, spread, and outliers of the distribution.

The typical student reads about $13.5$ books, and the distribution is almost symmetrical and single-peaked.
The IQR is $12.5$ so there is a lot of variability in the number of books read, but no apparent outliers.