Question

cleo paid monthly rents of $800, $820, $825, $810, and $825 over the last five years. what is the interquartile range (iqr) of her rents? $20 $25 $10 $15

Explanation:

Step1: Arrange data in order

$800, 810, 820, 825, 825$

Step2: Find median (Q2)

Since $n = 5$ (odd), median is the middle - value. So, $Q2=820$.

Step3: Find lower half and Q1

Lower half is $800, 810$. Median of lower half $Q1=\frac{800 + 810}{2}=805$.

Step4: Find upper half and Q3

Upper half is $825, 825$. Median of upper half $Q3 = 825$.

Step5: Calculate IQR

$IQR=Q3 - Q1=825-805 = 20$

Answer:

$20$