Follow the steps below for the following set of data. in your final answer include all of your calculations and all work in steps 1, 2, and 3. 8, 3, 5, 5, 4, 7 find the median, lower quartile, and upper quartile of the set of data. use the median, lower quartile, upper quartile, lowest value, and highest value of the set to construct a box-and-whisker plot on your own sheet of paper. use the box-and-whisker plot to find the range and the interquartile range of the set of data.

First we must put the set in order from least to greatest: 3, 4, 5, 5, 7, 8the median is the halfway point of the data.  there are two numbers in the middle, 5 and 5, so the median is 5.the median splits the data into two sections: 3, 4, 5 | 5, 7, 8the median of the upper half is the upper quartile (uq).  this is 7.the median of the lower half is the lower quartile (lq).  this is 4.the highest value is 8.the lowest value is 3.using these numbers we get the box-and-whisker plot attached.  draw lines at the lowest value, lq, median, uq and highest value.  the box gets drawn from the lq to the uq.  the whiskers go from the box to the lowest value and to the highest value.using this plot, we can see that the iqr (interquartile range) goes from 4 to 7, so it is 3.  the range of all of the data is from 3 to 8, so it is 5.