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

Explanation:

Step1: Sort the data set

$3,4,4,6,6,9$

Step2: Find the median (Q2)

Since there are 6 data - points, $Q2=\frac{4 + 6}{2}=5$

Step3: Split the data into lower and upper halves

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

Step4: Find Q1 and Q3

For the lower half ($3,4,4$), $Q1 = 4$; for the upper half ($6,6,9$), $Q3=6$

Step5: Calculate the inter - quartile range (IQR)

$IQR=Q3 - Q1=6 - 4 = 2$

Answer:

$2$