91Ó°ÊÓ

Explain the relative positioning of the bars in a histogram to the numbers that label the horizontal axis when each of the following quantities is used to label that axis.

a. Lower class limits

b. Lower class cut points

c. Class marks

d. Class midpoints

a. Identify the classes for grouping these data, using limit grouping with classes of equal width 5 and a first-class of 40-44.

b. Identify the class marks of the classes found in part (a).

c. Construct frequency and relative frequency distributions of the inauguration ages based on your classes obtained in part (a).

d. Draw a frequency histogram for the inauguration ages based on your grouping in part (a).

e. Classify the shape of the distribution of inauguration ages for the first 44 presidents of the United States both generally and specifically.

Give an example, other than those presented in this section, of

a) Qualitative Variable

b) Discrete Qualitative Variable

c) Continuous Quantitative Variable

Detroit Tigers. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series runner-up Detroit Tigers baseball team.

Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.

a. Construct a stem-and-leaf diagram of these data with five lines per stem.

b. Why is it better to use five lines per stem here instead of one or 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 $\backslash (50,000$.

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$\backslash )10,000$and $\backslash (19,999$, inclusive?

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

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

Cholesterol Levels. According to the National Health and

Control and Prevention, the average cholesterol level for children between $4$and $19$years of age is $165\mathrm{mg}/\mathrm{dL}$. A pediatrician who tested the cholesterol levels of several young patients was alarmed to find that many had levels higher than $200\mathrm{mg}/\mathrm{dL}$. The following relativefrequency histogram shows the readings for some patients who had high cholesterol levels.

Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.

a. What percentage of the patients have cholesterol levels between $205$and $209$, inclusive?

b. What percentage of the patients have levels of $215$or higher?

c. If the number of patients is $20$, how many have levels between $210$and $214$, inclusive?

RBI Kings, As reported on MLB.com, the five players with the highest runs batted in (RBI) during the 2012 Major League Baseball season are listed in the following table. Also included are the teams for which they played, their positions, and their weights. Identify the type of data provided by the information in each column of the table.

Top Broadcast Shows. As reported in Primetime Broadcast Programs, a publication of The Nielsen Company, the top three prime broadcast network television shows for the week of August 5, 2013, are as presented in the following table. Ratings are the percentage of TV homes in the United States tuned into television. Identify the type of data provided by the information in each column of the table

.

Identify and sketch three distribution shapes that are symmetric

We have drawn a smooth curve that represents a distribution,

a. Identify the shape of the distirbution with regard to modality.

b. Identify the shape of the distribution with regard to symmetry (or non symmetry)

c . If the distribution is unimodal and non symmetric, classify it as either right skewed or left skewed.