what is the interquartile range of this data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45} enter your…
what is the interquartile range of this data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45} enter your answer in the box.
Answer
Explanation:
Step1: Sort the data set
$42,42,45,45,48,50,50,55,60,65,80$
Step2: Find the median (Q2)
There are 11 data - points. The median is the 6th value. So, $Q2 = 50$.
Step3: Find the lower half and Q1
The lower half is $42,42,45,45,48$. The median of the lower half (Q1) is the 3rd value, so $Q1 = 45$.
Step4: Find the upper half and Q3
The upper half is $50,55,60,65,80$. The median of the upper half (Q3) is the 3rd value of this half, so $Q3 = 60$.
Step5: Calculate the inter - quartile range (IQR)
$IQR=Q3 - Q1=60 - 45$
Answer:
15