in the data set below, what is the interquartile range? 1 3 3 5 5 6

Answer:

2

Explanation:

Step1: Arrange data in order

1, 3, 3, 5, 5, 6

Step2: Find median (Q2)

Since there are 6 data - points, the median is the average of the 3rd and 4th ordered values. So, $Q2=\frac{3 + 5}{2}=4$.

Step3: Find lower half and Q1

The lower half is 1, 3, 3. The median of the lower half (Q1) is 3.

Step4: Find upper half and Q3

The upper half is 5, 5, 6. The median of the upper half (Q3) is 5.

Step5: Calculate inter - quartile range

$IQR = Q3−Q1=5 - 3=2$.