Question

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

Explanation:

Step1: Find the median of Data Set E

The median is the middle value of the box - and - whisker plot. For Data Set E, the median is \(57\).

Step2: Find the median of Data Set F

For Data Set F, the median is \(58\). So, \(57<58\), the median of Data Set E is less than the median of Data Set F.

Step3: Find the IQR of Data Set E

The IQR is \(Q3 - Q1\). For Data Set E, \(Q1 = 55\), \(Q3=59\), \(IQR_E=59 - 55=4\).

Step4: Find the IQR of Data Set F

For Data Set F, \(Q1 = 56\), \(Q3 = 60\), \(IQR_F=60 - 56 = 4\). So, \(IQR_E = IQR_F\)

Answer:

The median of Data Set E is less than the median of Data Set F. The interquartile range (IQR) of Data Set E is equal to the interquartile range (IQR) of Data Set F.