what is the interquartile range for the data set? 27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71 enter your…
what is the interquartile range for the data set? 27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71 enter your answer in the box.
Answer
Explanation:
Step1: Sort the data set
$4,5,6,27,27,41,48,54,64,71,78$
Step2: Find the median (Q2)
There are 11 data - points. The median is the 6th value. So, $Q2 = 41$.
Step3: Find the lower half and Q1
The lower half is $4,5,6,27,27$. The median of the lower half (Q1) is 6.
Step4: Find the upper half and Q3
The upper half is $48,54,64,71,78$. The median of the upper half (Q3) is 64.
Step5: Calculate the inter - quartile range (IQR)
$IQR=Q3 - Q1=64 - 6=58$
Answer:
58