Question

based on the two data sets represented below, complete the following sentences.
data set l
data set m
answer attempt 1 out of 2
the median of data set l is than the median of data set m. the interquartile
range (iqr) of data set l is than the interquartile range (iqr) of data set m.

Explanation:

Step1: Identify the median

The median is the middle line of the box - and - whisker plot.
For Data Set L, the median is \(40\).
For Data Set M, the median is \(39\).
Since \(40>39\), the median of Data Set L is greater than the median of Data Set M.

Step2: Identify the IQR

The IQR is the length of the box in the box - and - whisker plot.
For Data Set L, the IQR is smaller (the box is narrower).
For Data Set M, the IQR is larger (the box is wider).
So the IQR of Data Set L is less than the IQR of Data Set M.

Answer:

The median of Data Set L is greater than the median of Data Set M. The interquartile range (IQR) of Data Set L is less than the interquartile range (IQR) of Data Set M.