In the data set below, what is the interquartile range?
1024334359
To find the interquartile range (IQR), we first need to find the 25th and 75th percentiles (Q1 and Q3 respectively).
First we need to sort the numbers in ascending order:
01233459
Next, we need to find the median:
2
Now, we split the data set into two halves, with the first half including the median and the second half excluding the median:
First half: 01
Second half: 3459
Now, we find the median of each half:
Q1 = 0
Q3 = 4
Now we can calculate the interquartile range:
IQR = Q3 - Q1
IQR = 4 - 0
IQR = 4
Therefore, the interquartile range of the data set is 4.