Exercise 17 Page 367

Consider the given data sets.

Ages of World Cup Winners
$2010$ Men's World Cup Winner (Spain)	$2011$ Women's World Cup Winner (Japan)
$29$ $24$ $23$ $30$ $32$ $26$	$36$ $27$ $24$ $20$ $27$ $23$
$28$ $30$ $26$ $23$ $32$ $28$	$29$ $26$ $25$ $32$ $27$ $27$
$22$ $28$ $24$ $21$ $27$ $22$	$22$ $25$ $24$ $23$ $24$ $28$
$25$ $21$ $24$ $24$ $27$	$20$ $18$ $24$

We will analyze the data and then create a display that best represents the data that is different from what we did previously. A double histogram is one appropriate way to display this quantitative data since it allows us to compare the distributions of the data sets. To do so, let's first create a frequency table by using five intervals, beginning with $18-21.$

	Frequency
Age	$2010$ Men's World Cup Winner (Spain)	$2011$ Women's World Cup Winner (Japan)
$18-21$	$2$	$3$
$22-25$	$9$	$9$
$26-29$	$8$	$7$
$30-33$	$4$	$1$
$34-37$	$0$	$1$

Now, to make the double histogram we will split the vertical axis into two equal parts. This will represent the frequency. The top half will be the histogram for the $2010$ Men's World Cup Winner, while in the bottom half we will put the histogram for the $2011$ Women's World Cup Winner. Let's do it!

Please note that this is only one possible way to represent the data — there are many other possible ways to do it.