Question

first, make a box - and - whisker plot.
recall that the five - number summary is used to create a box - and - whisker plot. the five - number summary consists of the lowest value, the first quartile, $q_1$, the median, the third quartile, $q_3$, and the highest value of a data set. therefore, in order to make a box - and - whisker plot, we will need to find each of these values.
we will start by finding the low and high numbers.
consider the given unordered data set.
32 11 14 23 34 45 36 51 21 17
16 32 38 35 37 20 29 40 17 45
it is helpful to first order the data from smallest to largest.
, 14, 16, 17, 17, 20, 21, 23, 29, 32, 32, 34, 35, 36, 37,, 40, 45, 45,
we see that the lowest value is and the highest value is.

Explanation:

Step1: Order the data

First, we order the given un - ordered data set \(32,11,14,23,34,45,36,51,21,17,16,32,38,35,37,20,29,40,17,45\) from smallest to largest: \(11,14,16,17,17,20,21,23,29,32,32,34,35,36,37,38,40,45,45,51\).

Step2: Identify the lowest and highest values

The lowest value in the ordered data set is \(11\) and the highest value is \(51\).

Answer:

The ordered data set is \(11,14,16,17,17,20,21,23,29,32,32,34,35,36,37,38,40,45,45,51\). The lowest value is \(11\) and the highest value is \(51\).