Question

in the data set below, what is the interquartile range? 1 1 5 5 6 7 7

Explanation:

Step1: Arrange data in order

1, 1, 5, 5, 6, 7, 7 (already in order)

Step2: Find median (Q2)

Since there are 7 data - points, the median is the 4th value. So Q2 = 5.

Step3: Find lower half

The lower half is 1, 1, 5. The median of the lower half (Q1) is 1.

Step4: Find upper half

The upper half is 6, 7, 7. The median of the upper half (Q3) is 7.

Step5: Calculate inter - quartile range (IQR)

IQR=Q3 - Q1 = 7 - 1=6.

Answer:

6