Question

a research study was conducted to measure the time students focus on a task before being distracted. the box plots show the distributions of attention spans of high school and college students
students attention spans (minutes)
college
high school
0 2 4 6 8 10 12 14 16 18 20 22 24
which statements are true regarding the data sets? select two options
the median attention span of college students is greater than the median attention span of high school students.
the range of attention span of college students is greater than the range of attention spans of high school students.
the interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.

Explanation:

Step1: Identify median from box - plot

In a box - plot, the line inside the box represents the median. For college students, the median is around 16 minutes and for high - school students, it is around 14 minutes. So, the median of college students is greater.

Step2: Identify interquartile range (IQR) from box - plot

The IQR is the length of the box in a box - plot. For college students, the box extends from about 12 to 18 (IQR = 18 - 12=6). For high - school students, the box extends from about 10 to 14 (IQR = 14 - 10 = 4). So, the IQR of college students is greater.

Step3: Identify range from box - plot

The range is the difference between the maximum and minimum values. For college students, the range is about 22 - 8=14. For high - school students, the range is about 18 - 6 = 12. The range of college students is not greater. So, the correct statements are about the median and the inter - quartile range.

Answer:

1. The median attention span of college students is greater than the median attention span of high - school students.
2. The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high - school students.