Chapter B.1, Problem 11E

To determine

To find: The frequency distribution and a histogram to organize the data.

Answer to Problem 11E

The frequency distribution table and histogram are given below.

Explanation of Solution

Given information:

The given data shows the percent of individuals living below the poverty level in the $50$ states in $2012$ .

$\begin{array}{l}\text{AK}10.8\\ \text{CA}16.4\\ \text{FL}\text{15}\text{.1}\\ \text{ID}\text{15}\text{.1}\\ \text{KY}\text{16}\text{.9}\\ \text{ME}\text{13}\text{.1}\\ \text{MS}\text{19}\text{.7}\\ \text{NE}\text{11}\text{.2}\\ \text{NV}\text{15}\text{.6}\\ \text{OR}\text{13}\text{.9}\\ \text{SD}\text{13}\text{.7}\\ \text{VA}11.0\\ \text{WV}\text{17}\text{.1}\end{array}$

$\begin{array}{l}\text{AL}15.8\\ \text{CO}12.5\\ \text{GA}\text{18}\text{.3}\\ \text{IL}\text{13}\text{.4}\\ \text{LA}21.1\\ \text{MI}\text{14}\text{.3}\\ \text{MT}\text{15}\text{.0}\\ \text{NH}7.9\\ \text{NY}16.6\\ \text{PA}\text{13}\text{.2}\\ {\rm T}{\rm N}\text{17}\text{.4}\\ \text{VT}11.4\\ \text{WY}\text{10}\text{.2}\end{array}$

$\begin{array}{l}\text{AR}\text{19}\text{.4}\\ \text{CT}10.2\\ \text{HI}\text{13}\text{.0}\\ \text{IN}\text{15}\text{.4}\\ \text{MA}\text{10}\text{.9}\\ \text{MN}10.0\\ \text{NC}\text{16}\text{.3}\\ \text{NJ}\text{10}\text{.4}\\ \text{OH}\text{15}\text{.2}\\ \text{RI}\text{13}\text{.5}\\ \text{TX}\text{17}\text{.2}\\ \text{WA}\text{12}\text{.1}\end{array}$

$\begin{array}{l}\text{AZ}18.1\\ \text{DE}13.6\\ \text{IA}\text{10}\text{.4}\\ \text{KS}\text{14}\text{.2}\\ \text{MD}9.6\\ \text{MO}\text{15}\text{.3}\\ \text{ND}\text{10}\text{.7}\\ \text{NM}21.3\\ \text{OK}\text{16}\text{.0}\\ \text{SC}\text{17}\text{.8}\\ \text{UT}\text{11}\text{.0}\\ \text{WI}12.2\end{array}$

To begin constructing a frequency distribution, you must first decide on the number of intervals.

The least number is $7.9$ and the greatest is $21.3$ ,it seems that eight intervals would be appropriate.

By tallying the data into six intervals, you obtained the frequency distribution shown below.

Interval	Numbers
$\left[7,9\right)$	1
$\left[9,11\right)$	9
$\left[11,13\right)$	7
$\left[13,15\right)$	10
$\left[15,17\right)$	13
$\left[17,19\right)$	6
$\left[19,21\right)$	2
$\left[21,23\right)$	2

The histogram for the table is given as:

  

Therefore, the frequency distribution table and histogram are given above.