Question

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

Explanation:

Step1: Find the median of Data Set M

The median is the middle value of the box - and - whisker plot. For Data Set M, the median is at \(61\).

Step2: Find the median of Data Set N

For Data Set N, the median is at \(63\). So \(61<63\), the median of Data Set M is less than the median of Data Set N.

Step3: Find the IQR of Data Set M

The IQR is \(Q3 - Q1\). For Data Set M, \(Q1 = 59\), \(Q3=61\), \(IQR_M=61 - 59=2\).

Step4: Find the IQR of Data Set N

For Data Set N, \(Q1 = 61\), \(Q3 = 65\), \(IQR_N=65 - 61 = 4\). So \(2<4\), the IQR of Data Set M is less than the IQR of Data Set N.

Answer:

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