in the data set below, what is the interquartile range? 1 1 1 1 3 4 6 6
in the data set below, what is the interquartile range? 1 1 1 1 3 4 6 6
Answer
Answer:
5
Explanation:
Step1: Arrange data in order
1, 1, 1, 1, 3, 4, 6, 6
Step2: Find median (Q2)
Since there are 8 data - points, the median is the average of the 4th and 5th ordered values. $\frac{1 + 3}{2}=2$.
Step3: Find Q1
The lower half of the data is 1, 1, 1, 1. The median of the lower half (Q1) is 1.
Step4: Find Q3
The upper half of the data is 3, 4, 6, 6. The median of the upper half (Q3) is $\frac{4 + 6}{2}=5$.
Step5: Calculate inter - quartile range (IQR)
$IQR = Q3−Q1=5 - 1 = 4$.