Question

make a box-and-whisker plot to represent each set of data some lengths 225-221-347-173-344-438 -171 -129 -165 and 333

Answer 1

We are given a set of data and we are asked to make a box and whiskers plot of that data. The first step is to order the data set, like this:

`129,\text{ }165,\text{ }171,\text{ }173,\text{ }221,\text{ }225,\text{ }333,\text{ }344,347,\text{ }438`

Now we need to find the median of the ordered data set, that value is:

`Q_2=(221+225)/(2)=223`

Now we find the median of the first half of the data set:

`Q_1=171`

Now the median of the second half of the data set:

`Q_3=344`

Now, the box part of the plot will be the median values of the first and second half plotted in a number line at a suitable scale, like this:

Inside this box we plot the value of the median of the entire data set, like this:

Now, the whiskers will be plotted taking the minimum and maximum values of the data set, like this:

That is the box and whiskers plot of the data set.