Given an ordered set of data the interquartile range IQR is

Given an ordered set of data, the interquartile range, IQR, is defined as q_U - q_L where

A)  q_U is the median value of the data above the median.

B)  q_U is the average value of the data above the median.

C) q_U is the median value of the data above the mean.

D) q_U is the mean value of the data above the median.

Solution

Given an ordered set of data, the interquartile range, IQR, is defined as qU - qL where

A)  qU is the median value of the data above the median.

Explanation:

Quartiles divide the ordered set of data into 4 even parts

# Lower quartile qL : median of all observations less than the median M

# Middle quartile M= qM : median of all observations

# Upper quartile qU : median of all observations greater than the median M

# Interquartile range: IQR = qU qL distance between upper and lower quartile