he values in the accompanying table represent the age of people in years requesting to take the driver's test at a DMV. What is the interquartile range of the age of the people requesting to take the driver's test? You may use Desmos to help you calculate this.
(1 point)
Responses
2
2
1
1
1.5
1.5
2.5
To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3).
The first quartile (Q1) is the median of the lower half of the data set. In this case, the lower half of the data set is (1, 1, 1.5), so the median of the lower half is the average of the two middle numbers, which is (1+1)/2=1.
The third quartile (Q3) is the median of the upper half of the data set. In this case, the upper half of the data set is (2, 2, 2.5), so the median of the upper half is the average of the two middle numbers, which is (2+2)/2=2.
Now, we can calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1
= 2 - 1
= 1
Therefore, the interquartile range of the age of the people requesting to take the driver's test is 1 year.