Question

students were asked how many movies they watched in february. which statements are true based on the data in the boxplot? select all that apply.
number of movies watched in february
boxplot image
0 1 2 3 4 5 6 7 8 9 10 11 12
most students watched between 2 and 6 movies. one person watched 12 movies in february.
the data is clustered around 0-2 movies. the median number of movies watched in february is 6.
half of the students watched between 1 and 6 movies.

Explanation:

Step1: Analyze the box - plot properties

A box - plot shows the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum values. The box represents the inter - quartile range ($IQR = Q_3 - Q_1$), which contains 50% of the data.

Step2: Evaluate each statement

• Most students watched between 2 and 6 movies: The box (which contains 50% of the data) is from approximately 1 to 6. So, this statement is false.
• The data is clustered around 0 - 2 movies: The whisker from 0 to 1 is short, but the box (representing more data) is from 1 - 6. So, this statement is false.
• Half of the students watched between 1 and 6 movies: The box (which contains 50% of the data) is from approximately 1 to 6. So, this statement is true.
• One person watched 12 movies in February: The maximum value (end of the right - most whisker) is 12. But we don't know if there is only one person. It just represents the maximum value in the data set. So, this statement is false.
• The median number of movies watched in February is 6: The median (line inside the box) is at 2. So, this statement is false.

Answer:

Half of the students watched between 1 and 6 movies.