Question

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

Explanation:

Step1: Find the median of Data Set J

In a box - and - whisker plot, the median is represented by the line inside the box. For Data Set J, the median is \(43\).

Step2: Find the median of Data Set K

For Data Set K, the median is \(42\).
Since \(43>42\), the median of Data Set J is greater than the median of Data Set K.

Step3: Find the IQR of Data Set J

The IQR is the length of the box in a box - and - whisker plot. For Data Set J, if we assume the lower quartile \(Q_1 = 41\) and upper quartile \(Q_3=45\), then \(IQR_J=Q_3 - Q_1=45 - 41 = 4\).

Step4: Find the IQR of Data Set K

For Data Set K, if we assume the lower quartile \(Q_1 = 40\) and upper quartile \(Q_3 = 45\), then \(IQR_K=Q_3 - Q_1=45 - 40=5\).
Since \(4<5\), the IQR of Data Set J is less than the IQR of Data Set K.

Answer:

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