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: Identify median from box - plot

The median is the line inside the box of the box - plot. For Data Set E, the median is 56. For Data Set F, the median is 58. So, 56 < 58.

Step2: Identify IQR from box - plot

The inter - quartile range (IQR) is the length of the box in the box - plot. For Data Set E, the lower quartile ($Q_1$) is 55 and the upper quartile ($Q_3$) is 59, so $IQR_E=Q_3 - Q_1=59 - 55 = 4$. For Data Set F, $Q_1 = 56$ and $Q_3=60$, so $IQR_F=Q_3 - Q_1=60 - 56 = 4$.

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.