Chapter 13, Problem 3PS

(a)

To determine

To graph: A line plot for the given data is to be drawn.

Explanation of Solution

Given information: Data of first 20 states were admitted in Union in the following years:

  $\begin{array}{l}1788,1787,1788,1816,1792,1812,1788,1788,\\ 1817,1788,1787,1788,1789,1803,1787,1790,\\ 1788,1796,1791,1788\end{array}$

Graph:

  

Interpretation:

A line plot shows that that maximum number of states admitted in year $1788$ .

(b)

To determine

To graph: A frequency distribution for the given data is to be drawn.

Explanation of Solution

Given information: Data of first 20 states were admitted in Union in the following years:

  $\begin{array}{l}1788,1787,1788,1816,1792,1812,1788,1788,\\ 1817,1788,1787,1788,1789,1803,1787,1790,\\ 1788,1796,1791,1788\end{array}$

Graph:

Interval	Tally Marks	Frequency
1787-1793	|||| |||| ||||	15
1794-1801	|	1
1802-1808	|	1
1809-1815	|	1
1816-1822	||	2

Interpretation:

Shows that that the least year is $1787$ and the greatest year is $1817$

(a)

To determine

To graph: A histogram for the given data is to be drawn.

Explanation of Solution

Given information: Data of first 20 states were admitted in Union in the following years:

  $\begin{array}{l}1788,1787,1788,1816,1792,1812,1788,1788,\\ 1817,1788,1787,1788,1789,1803,1787,1790,\\ 1788,1796,1791,1788\end{array}$

Graph:

  

Interpretation:

Maximum numbers of states were admitted in year interval $1787-1794$

(c)

To determine

To graph: A line plot for the given data is to be drawn.

Explanation of Solution

Given information: Data of ages of adult male passengers on the Mayflower at the time of its departure

  $\begin{array}{l}21,34,29,38,30,54,39,20,35,64,37,45,21,\hfill \\ 25,55,45,40,38,38,21,21,34,38,52,41,48,\hfill \\ 18,27,32,49,30,42,30,25,38,25,20\hfill \end{array}$

Graph:

  

Interpretation: Out of all age groups, the maximum male adult passengers having age of 38 years have been departure.

(d)

To determine

To graph: A frequency distribution for the given data is to be drawn.

Explanation of Solution

Given information: Data of ages of adult male passengers on the Mayflower at the time of its departure

  $\begin{array}{l}21,34,29,38,30,54,39,20,35,64,37,45,21,\hfill \\ 25,55,45,40,38,38,21,21,34,38,52,41,48,\hfill \\ 18,27,32,49,30,42,30,25,38,25,20\hfill \end{array}$

Graph:

Interval	Tally Marks	Frequency
18-27	|||| |||| |||| |	11
28-37	|||| ||||	9
38-47	|||| |||| |||| |	11
48-57	||||	5
58-67	|	1

Interpretation: From above distribution we conclude that least age is 18 and greatest age is 64

e)

To determine

To graph: A histogram for the given data is to be drawn.

Explanation of Solution

Given information: Data of ages of adult male passengers on the Mayflower at the time of its departure

  $\begin{array}{l}21,34,29,38,30,54,39,20,35,64,37,45,21,\hfill \\ 25,55,45,40,38,38,21,21,34,38,52,41,48,\hfill \\ 18,27,32,49,30,42,30,25,38,25,20\hfill \end{array}$

Graph:

  

Interpretation: From above we conclude that maximum male adult passengers of age group under $18-28$ and $38-48$ have been departure.

e)

To determine

To graph: A histogram for the given data is to be drawn.

Explanation of Solution

Given information: Data of ages of adult male passengers on the Mayflower at the time of its departure

  $\begin{array}{l}21,34,29,38,30,54,39,20,35,64,37,45,21,\hfill \\ 25,55,45,40,38,38,21,21,34,38,52,41,48,\hfill \\ 18,27,32,49,30,42,30,25,38,25,20\hfill \end{array}$

Graph:

  

Interpretation: From above we conclude that maximum male adult passengers of age group under $18-28$ and $38-48$ have been departure.