Q.21 - Elementary Statistics

Question

Inauguration Ages. From the Information Please Almanac, we obtained the ages at inauguration for the first 44 presidents of the United States (from George Washington to Barack H. Obama).

Construct a stem-and-leaf diagram for the inauguration of the first $44$ presidents of the United states.

a. Use one liner per stem

b. Use two liner per stem 

c. Which of the two stem-and-leaf diagrams that you just constructed corresponds to the frequency distribution of probelm 19(c)

Step-by-Step Solution

Answer

(a)

(b) 

(c)  Second diagram  corresponds to the frequency distribution of the given data.

Part(a) Step 1: Given Information

The given data is :

we have to construct the stem-and-leaf diagram ,Use one line per stem.

Part(a) Step 2: Explanation

Place the digits of the tens to the left of the vertical line in a stem-and-leaf design, and the digits of the ones to the right of the vertical line.

Part(b) Step 1: Given Information

The given data is:

 we have to construct the stem-and-leaf diagram ,Use two lines per stem.

Part(b) Step 2: Explanation

Place the tens digits to the left of the vertical line in a stem-and-leaf diagram, and the ones digits to the right of the vertical line in a stem-and-leaf diagram.

Part(c) Step 1: Given Information

The given data is;

we have to  find which diagram corresponds to the frequency distribution of the given data. 

Part(c) Step 2: Explanation

Frequency refers to the number of data values that fall into a given category.

The second image has more stems than the first, and it corresponds to the data's frequency distribution.

As a result, the supplied data's frequency distribution matches the second diagram.