Question

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

Explanation:

Step1: Determine the median of box - and - whisker plots

The median is represented by the line inside the box of a box - and - whisker plot.
For Data Set X, the median line is at \(6\).
For Data Set Y, the median line is at \(6\).

Step2: Determine the IQR of box - and - whisker plots

The IQR is calculated as \(Q3 - Q1\) (where \(Q1\) is the lower quartile and \(Q3\) is the upper quartile).
For Data Set X: \(Q1 = 4\), \(Q3 = 8\), so \(IQR_X=8 - 4=4\).
For Data Set Y: \(Q1 = 5\), \(Q3 = 8\), so \(IQR_Y=8 - 5 = 3\).

Answer:

The median of Data Set X is equal to the median of Data Set Y.
The interquartile range (IQR) of Data Set X is greater than the interquartile range (IQR) of Data Set Y.