Question

semester a
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?
3
6
4
2

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 Q1

The lower half of the data is $0,0,2,2$. The median of the lower half (Q1) is the average of the 2nd and 3rd values. So, $Q1=\frac{0 + 2}{2}=1$.

Step4: Find Q3

The upper half of the data is $3,4,6,8$. The median of the upper half (Q3) is the average of the 2nd and 3rd values. So, $Q3=\frac{4 + 6}{2}=5$.

Step5: Calculate the inter - quartile range (IQR)

$IQR=Q3 - Q1$. Substitute $Q1 = 1$ and $Q3 = 5$ into the formula. $IQR=5 - 1=4$.

Answer:

4