Question

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

Explanation:

Step1: Identify median from box - and - whisker plot

The line inside the box of a box - and - whisker plot represents the median. For Data Set K, the median is around 58. For Data Set L, the median is around 59. So the median of Data Set K is less than the median of Data Set L.

Step2: Identify IQR from box - and - whisker plot

The inter - quartile range (IQR) is the length of the box in a box - and - whisker plot. For Data Set K, the box extends from approximately 56 to 60, so IQR = 60 - 56=4. For Data Set L, the box extends from approximately 57 to 59, so IQR = 59 - 57 = 2. So the IQR of Data Set K is greater than the IQR of Data Set L.

Answer:

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