in the data set below, what is the interquartile range? 2 3 3 3 6 7 7
in the data set below, what is the interquartile range? 2 3 3 3 6 7 7
Answer
Answer:
4
Explanation:
Step1: Arrange data in order
2, 3, 3, 3, 6, 7, 7 (already in order)
Step2: Find median (Q2)
There are 7 data - points. The median is the 4th value. So Q2 = 3.
Step3: Find lower half
The lower half is 2, 3, 3. The median of the lower half (Q1) is 3.
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=Q3 - Q1 = 7 - 3 = 4.