the data set represents the number of rings each person in a room is wearing. 0, 2, 4, 0, 2, 3, 2, 8, 6…

Explanation:

Step1: Sort the data

$0,0,2,2,2,3,4,6,8$

Step2: Find the median (Q2)

There are 9 data - points. The median is the 5th value. So, Q2 = 2.

Step3: Find the lower half and Q1

The lower half is $0,0,2,2$. The median of the lower half (Q1) is $\frac{0 + 2}{2}=1$.

Step4: Find the upper half and Q3

The upper half is $3,4,6,8$. The median of the upper half (Q3) is $\frac{4+6}{2}=5$.

Step5: Calculate the inter - quartile range (IQR)

IQR = Q3 - Q1 = 5 - 1 = 4.

Answer:

4