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…

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

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

Answer

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 is $\frac{0 + 2}{2}=1$, so $Q1 = 1$.

Step4: Find Q3

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

Step5: Calculate the inter - quartile range (IQR)

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

Answer:

4