Question

This list shows the age at which $43$ U.S. Presidents began their terms.

$$\begin{gathered} 57,61,50,54,54,54,56,54,61,54,48,49,42, \\ 51,61,57,68,65,50,51,60,52,57,51,52,47,56,62,69 \\ 58,49,56,55,55,43,64,57,64,46,55,51,55,46 \end{gathered}$$

Before you can make a frequency table, you need to decide how to set up the age intervals. What is the BEST way to group these ages into six intervals?

Answer 1

Finding the $6$ intervals of given data:

The smallest age of the given data is $42$ and the largest age is $69$
To make $6$ intervals in this gap of $27,$each interval can be divided into equal length of $5$
$6$ intervals are $40-44,45-49,50-54,55-59,60-64,65-69$

The frequency table is given below.

Age interval	Frequency
$40-44$	$2$
$45-49$	$6$
$50-54$	$13$
$55-59$	$12$
$60-64$	$7$
$65-69$	$3$
	Total$=43$

Hence, the frequency table is given above.