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?

Explanation:

Step1: Order the data

$800, 810, 820, 825, 825$

Step2: Find the median (Q2)

Since there are 5 data - points, the median is the 3rd value. So, Q2 = 820.

Step3: Find Q1

The lower half of the data is $800, 810$. The median of the lower half (Q1) is $\frac{800 + 810}{2}=805$.

Step4: Find Q3

The upper half of the data is $825, 825$. The median of the upper half (Q3) is $\frac{825+825}{2}=825$.

Step5: Calculate the IQR

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

Answer:

20