The 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 calculate the interquartile range, we first need to find the first and third quartiles.
Given data: 1, 1.5, 2, 2.5
First, let's arrange the data in ascending order: 1, 1.5, 2, 2.5
Next, let's find the median of the entire data set. Since there are 4 data points, the median will be the average of the 2nd and 3rd data points:
Median = (1.5 + 2) / 2 = 1.75
Now, let's find the first quartile. It will be the median of the data points to the left of the overall median. In this case, 1 and 1.5:
Q1 = (1 + 1.5) / 2 = 1.25
Next, find the third quartile. It will be the median of the data points to the right of the overall median. In this case, 2 and 2.5:
Q3 = (2 + 2.5) / 2 = 2.25
Finally, calculate the interquartile range:
IQR = Q3 - Q1 = 2.25 - 1.25 = 1
Therefore, the interquartile range of the age of the people requesting to take the driver's test is 1 year.