in the data set below, what is the interquartile range? 16 24 51 62 78 78 86
in the data set below, what is the interquartile range? 16 24 51 62 78 78 86
Answer
Answer:
54
Explanation:
Step1: Arrange data in order
16, 24, 51, 62, 78, 78, 86
Step2: Find median (Q2)
Since there are 7 data - points, the median (Q2) is the 4th value, so Q2 = 62.
Step3: Find lower half
The lower half is 16, 24, 51. The median of the lower half (Q1) is 24.
Step4: Find upper half
The upper half is 78, 78, 86. The median of the upper half (Q3) is 78.
Step5: Calculate inter - quartile range
IQR=Q3 - Q1 = 78 - 24=54.