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Estadistica, Apuntes de Administración de Empresas

Asignatura: ,, Profesor: , Carrera: Administració i Direcció d'Empreses, Universidad: UB

Tipo: Apuntes

2014/2015

Subido el 16/12/2015

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Statistic I. Business Administration and Management Degree.
University of Barcelona.
Lecturer: Jordi López-Tamayo
UNIT 2. Frequency Distributions
1) A partial relative frequency distribution is given.
a. What is the relative frequency of class D?
b. The total sample size is 200. What is the frequency of
class D?
c. Show the frequency distribution.
d. Show the percent frequency distribution.
2) The top four primetime television shows were CSI, ER,
Everybody Loves Raymond, and Friends (Nielsen Media
Research, January 11, 2004). Data indicating the preferred
shows for a sample of 50 viewers follow.
a. Are these data qualitative or quantitative?
b. Provide frequency and percent frequency distributions.
c. Construct a bar graph and a pie chart.
d. On the basis of the sample, which television show has the
largest viewing audience? Which one is second?
3) In alphabetical order, the six most common last names in
the United States are Brown, Davis, Johnson, Jones, Smith,
and Williams (The World Almanac, 2006). Assume that a
sample of 50 individuals with one of these last names
provided the following data.
Summarize the data by constructing the following:
a. Relative and percent frequency distributions
b. A bar graph
c. A pie chart
d. Based on these data, what are the three most common
last names?
4) The Nielsen Media Research television rating measures the
percentage of television owners who are watching a
particular television program. The highest-rated television
program in television history was the M*A*S*H Last Epis ode
Special shown on February 28, 1983. A 60.2 rating indi cated
that 60.2% of all television owners were watching this
program. Nielsen Media Research provided the list of the 50
top-rated single shows in television history (The New York
Times Almanac, 2006). The following data show the
television network that produced each of these 50 top-rated
shows.
a. Construct a frequency distribution, percent frequency
distribution, and bar graph for the data.
b. Which network or networks have done the best in
terms of presenting top-rated television shows? Compare
the performance of ABC, CBS, and NBC.
5) About 60% of small and medium-sized businesses are
family-owned. A TEC International Inc. survey asked the
chief executive officers (CEOs) of family-owned businesses
how they became the CEO (The Wall Street Journal,
December 16, 2003). Responses were that the CEO
inherited the business, the CEO built the business, or the
CEO was hired by the family-owned firm. A sample of 26
CEOs of family-owned businesses provided the following
data on how each became the CEO.
a. Provide a frequency distribution.
b. Provide a percent frequency distribution.
c. Construct a bar graph. d. What percentage of CEOs of
family-owned businesses became the CEO because they
inherited the business? What is the primary reason a
Some of
Data
are
available in file
Unit_2_Practice_Computing.xlsx
for practicing with Excel
pf3
pf4

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Statistic I. Business Administration and Management Degree.

University of Barcelona.

Lecturer: Jordi López-Tamayo

UNIT 2. Frequency Distributions

  1. A partial relative frequency distribution is given.

a. What is the relative frequency of class D? b. The total sample size is 200. What is the frequency of class D? c. Show the frequency distribution. d. Show the percent frequency distribution.

  1. The top four primetime television shows were CSI, ER, Everybody Loves Raymond, and Friends (Nielsen Media Research, January 11, 2004). Data indicating the preferred shows for a sample of 50 viewers follow.

a. Are these data qualitative or quantitative? b. Provide frequency and percent frequency distributions. c. Construct a bar graph and a pie chart. d. On the basis of the sample, which television show has the largest viewing audience? Which one is second?

  1. In alphabetical order, the six most common last names in the United States are Brown, Davis, Johnson, Jones, Smith, and Williams (The World Almanac, 2006). Assume that a sample of 50 individuals with one of these last names provided the following data.

Summarize the data by constructing the following: a. Relative and percent frequency distributions b. A bar graph

c. A pie chart d. Based on these data, what are the three most common last names?

  1. The Nielsen Media Research television rating measures the percentage of television owners who are watching a particular television program. The highest-rated television program in television history was the MAS*H Last Episode Special shown on February 28, 1983. A 60.2 rating indicated that 60.2% of all television owners were watching this program. Nielsen Media Research provided the list of the 50 top-rated single shows in television history (The New York Times Almanac, 2006). The following data show the television network that produced each of these 50 top-rated shows.

a. Construct a frequency distribution, percent frequency distribution, and bar graph for the data. b. Which network or networks have done the best in terms of presenting top-rated television shows? Compare the performance of ABC, CBS, and NBC.

  1. About 60% of small and medium-sized businesses are family-owned. A TEC International Inc. survey asked the chief executive officers (CEOs) of family-owned businesses how they became the CEO (The Wall Street Journal, December 16, 2003). Responses were that the CEO inherited the business, the CEO built the business, or the CEO was hired by the family-owned firm. A sample of 26 CEOs of family-owned businesses provided the following data on how each became the CEO.

a. Provide a frequency distribution. b. Provide a percent frequency distribution. c. Construct a bar graph. d. What percentage of CEOs of family-owned businesses became the CEO because they inherited the business? What is the primary reason a

Some of Data are available in file

Unit_2_Practice_Computing.xlsx

for practicing with Excel

person becomes the CEO of a family-owned business?

  1. Consider the following data.

a. Develop a frequency distribution using classes of 12– 14, 15–17, 18–20, 21–23, and 24–26. b. Develop a relative frequency distribution and a percent frequency distribution using the classes in part (a).

  1. Consider the following data.

a. Construct a dot plot. b. Construct a frequency distribution. c. Construct a percent frequency distribution

  1. A doctor’s office staff studied the waiting times for patients who arrive at the office with a request for emergency service. The following data with waiting times in minutes were collected over a one-month period.

2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3

Use classes of 0–4, 5–9, and so on in the following: a. Show the frequency distribution. b. Show the relative frequency distribution. c. Show the cumulative frequency distribution. d. Show the cumulative relative frequency distribution. e. What proportion of patients needing emergency service wait 9 minutes or less?

  1. Consider the following two frequency distributions. The first frequency distribution provides an approximation of the annual adjusted gross income in the United States (Internal Revenue Service, March 2003). The second frequency distribution shows exam scores for students in a college statistics course.

a. Develop a histogram for the annual income data. What evidence of skewness does it show? Does this skewness

make sense? Explain. b. Develop a histogram for the exam score data. What evidence of skewness does it show? Explain. c. Develop a histogram for the data in exercise 11. What evidence of skewness does it show? What is the general shape of the distribution?

  1. What is the typical price for a share of stock for the 30 Dow Jones Industrial Average companies? The following data show the price for a share of stock to the nearest dollar in January 2006 (The Wall Street Journal, January 16, 2006).

a. Prepare a frequency distribution of the data. b. Prepare a histogram of the data. Interpret the histogram, including a discussion of the general shape of the histogram, the mid-price per share range, the most frequent price per share range, and the high and low extreme prices per share. c. What are the highest-priced and the lowest-priced stocks? d. Use The Wall Street Journal to find the current price per share for these companies. Prepare a histogram of the data and discuss any changes since January 2006.

  1. NRF/BIG research provided results of a consumer holiday spending survey (USA Today, December 20, 2005). The following data provide the dollar amount of holiday spending for a sample of 25 consumers.

a. What is the lowest holiday spending? The highest? b. Use a class width of $250 to prepare a frequency distribution and a percent frequency distribution for the data. c. Prepare a histogram and comment on the shape of the distribution. d. What observations can you make about holiday spending.

  1. The following data show a sample of time in minutes devoted to this task.

freshmen? What percentage of freshmen select this major?

  1. Golf Magazine’s Top 100 Teachers were asked the question, “What is the most critical area that prevents golfers from reaching their potential?” The possible responses were lack of accuracy, poor approach shots, poor mental approach, lack of power, limited practice, poor putting, poor short game, and poor strategic decisions. The data obtained follow (Golf Magazine, February 2002):

a. Develop a frequency and percent frequency distribution. b. Which four critical areas most often prevent golfers from reaching their potential?

  1. Dividend yield is the annual dividend paid by a company expressed as a percentage of the price of the stock (Dividend/Stock Price 100). The dividend yield for the Dow Jones Industrial Average companies is shown in Table 2. (The Wall Street Journal, March 3, 2006).

a. Construct a frequency distribution and percent frequency distribution. b. Construct a histogram. c. Comment on the shape of the distribution.

  1. Drug Store News (September 2002) provided data on annual pharmacy sales for the leading pharmacy retailers in the United States. The following data are annual sales in

millions.

a. Show a stem-and-leaf display. b. Identify the annual sales levels for the smallest, medium, and largest drug retailers. c. What are the two largest drug retailers?

  1. The daily high and low temperatures for 20 cities follow (USA Today, March 3, 2006).

a. Prepare a stem-and-leaf display of the high temperatures. b. Prepare a stem-and-leaf display of the low temperatures. c. Compare the two stem-and-leaf displays and make comments about the difference between the high and low temperatures. d. Provide a frequency distribution for both high and low temperatures.