10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32\nfind the median of the data set.\nmedian: 21 minutes\nfind the…
10, 11, 13, 18, 19, 21, 22, 25, 27, 30, 32\nfind the median of the data set.\nmedian: 21 minutes\nfind the lower quartile and upper quartile of the data set.\nlower quartile: 13 minutes\nupper quartile: 27 minutes\ncomplete the statement about the data set.\nabout ? of students ride the bus for less than 21 minutes.\nabout ? of students ride the bus for less than 27 minutes.
Answer
Explanation:
Step1: Recall median concept
The median divides data into two - halves. Since 21 is the median, about 50% (or $\frac{1}{2}$) of the data values are less than 21.
Step2: Recall upper - quartile concept
The upper - quartile (Q3) is the value such that about 75% (or $\frac{3}{4}$) of the data values are less than it. Since 27 is the upper - quartile, about 75% of the students ride the bus for less than 27 minutes.
Answer:
About $\frac{1}{2}$ of students ride the bus for less than 21 minutes. About $\frac{3}{4}$ of students ride the bus for less than 27 minutes.