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Chapter 2: Q.21 (page 89)

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 44presidents 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)

Short Answer

Expert verified

(a)

(b)

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

Step by step solution

01

Part(a) Step 1: Given Information 

The given data is :

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

02

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.

03

Part(b) Step 1: Given Information 

The given data is:

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

04

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.

05

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.

06

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.

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Most popular questions from this chapter

Construct a dot plot for the given data.

Construct a stem-and-leaf diagram for the data, using two lines per stem.

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in Statistics of Income, and Individual Income Tax Returns. The following relative frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than \(50,000.

Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.

a. Approximately what percentage of the individual income tax returns had an adjusted gross income between\)10,000and \(19,999, inclusive?

b. Approximately what percentage had an adjusted gross income of less than \)30,000?

c. The IRS reported that \(89,928,000individual income tax returns had an adjusted gross income of less than \)50,000. Approximately how many had an adjusted gross income between \(30,000and \)49,999, inclusive?

For instance, consider the grouped days-to-maturity data given in Table 2.10(b) on page 57.

From that table, we see that the cumulative frequency of investments with a maturity period of less than 50day is 4(3+1)and, therefore, the cumulative relative frequency is0.1(4/40).

Table 2.14shows all cumulative information for the days-to-maturity data.

Cumulative information for days-to-maturity data.

a. Round each observation to the nearest year and then construct a stem-and-leaf diagram of the rounded data.

b. Truncate each observation by dropping the decimal part, and then construct a stem-and-leaf diagram of the truncated data.

c. Compare the stem-and-leaf diagrams that you obtained in parts (a) and (b).

High School Completion. As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who has completed high school is provided on the WeissStats site.

a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.

b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.
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