Question

The accompanying data set lists the numbers of children of world leaders. Use the data to construct a frequency distribution using six classes and to create a frequency polygon. Describe any patterns.

Answer 1

Frequency polygons are used to show the trend between the elements of a given dataset and the frequency of each element.

From the dataset, we have the following class of 6 and the frequency:

$Class \to Frequency$

$0 - 2 \to 9$

$3 - 5 \to 18$

$6 - 8 \to 7$

$9 - 11\to 0$

$12 - 14 \to 5$

$15 - 17 \to 4$

So, the frequency distribution is as follows:

$\begin{array}{ccc}{Class}&{Frequency}&{x}\\0-2&9&1\\3-5&18&4\\6-8&7&7\\9-11&0&10\\12-14&5&13\\15-17&4&16\end{array}\right]$

The class midpoint (x) is calculated by calculating the mean of each class.

For instance, the midpoint (x) of class 0 - 2 is:

$x = \frac{1}{2}(0+2) = \frac{1}{2} \times 2 =1$ ---- and so on

The class midpoint (on the x-axis) is plotted against the frequency (on the y-axis) to create the frequency polygon (see attachment)

Read more about frequency polygons at:

https://brainly.com/question/1581651