Question

in the data set below, what is the interquartile range?
2 3 4 6 8 9

Explanation:

Step1: Confirm ordered data set

Data set: $2, 3, 4, 6, 8, 9$

Step2: Find median (split data)

Lower half: $2, 3, 4$; Upper half: $6, 8, 9$

Step3: Calculate Q1 (lower median)

$Q1 = 3$ (median of $2,3,4$)

Step4: Calculate Q3 (upper median)

$Q3 = 8$ (median of $6,8,9$)

Step5: Compute interquartile range

$\text{IQR} = Q3 - Q1$
$\text{IQR} = 8 - 3$

Answer:

$5$