Question

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

what is the interquartile range of the data?

○ 2
○ 3
○ 4
○ 6

Explanation:

Step1: Sort the data set

Sorted data: $0, 0, 2, 2, 2, 3, 4, 6, 8$

Step2: Find median (Q2)

Median is the 5th value: $2$

Step3: Find Q1 (lower median)

Lower half: $0, 0, 2, 2$; Q1 = $\frac{0+2}{2}=1$

Step4: Find Q3 (upper median)

Upper half: $3, 4, 6, 8$; Q3 = $\frac{4+6}{2}=5$

Step5: Calculate interquartile range

Interquartile range = $Q3 - Q1$
$5 - 1 = 4$

Answer:

4