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Statistics for Business and Financial Economics

Cheng-Few Lee, John C. Lee, Alice C. Lee

Chapter 3

Frequency Distributions and Data Analyses - all with Video Answers

Educators


Chapter Questions

00:21

Problem 1

Explain the difference between grouped and nongrouped data.

Trent Speier
Trent Speier
Numerade Educator
01:32

Problem 2

Explain the difference between frequency and relative frequency.

Pratyush Raitan
Pratyush Raitan
Numerade Educator
04:42

Problem 3

Explain the difference between frequency and cumulative frequency.

Arulmozhi T
Arulmozhi T
Numerade Educator
04:25

Problem 4

Carefully explain how the concept of cumulative frequency can be used to form the Lorenz curve.

Tommy Nguyen
Tommy Nguyen
Numerade Educator
00:58

Problem 5

Suppose you are interested in constructing a frequency distribution for the heights of 80 students in a class. Describe how you would do this.

Prashant Bana
Prashant Bana
Numerade Educator
View

Problem 6

What is a frequency polygon? Why is a frequency polygon useful in data presentation?

Emily Himsel
Emily Himsel
Numerade Educator
00:45

Problem 7

Use the prime rate data given in Table 3.6 in the text to construct cumulative frequency and cumulative relative frequency tables.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
06:44

Problem 8

Use the percentage of total revenue spent on advertising listed in Table 3.12 of the text to draw a frequency polygon and a cumulative frequency polygon.

Jerelyn Nevil
Jerelyn Nevil
Numerade Educator
04:36

Problem 9

On November 17, 1991, the Home News of central New Jersey used the bar chart given here to show that foreign investors are taxed at a lower rate than the US citizens.
(a) Construct a table to show frequency, relative frequency, and cumulative frequency.
(b) Draw a frequency polygon and a cumulative frequency polygon.
figure can't copy

Jeremiah Mbaria
Jeremiah Mbaria
Numerade Educator

Problem 10

Use the EPS and DPS data given in Table 2.3 in Chap. 2 to construct frequency distributions.

Check back soon!

Problem 11

Use the data from question 10 to construct a relative frequency graph and a cumulative relative frequency graph for both EPS and DPS.

Check back soon!
00:37

Problem 12

On November 17, 1991, the Home News of central New Jersey used the bar chart in the accompanying figure to show the 1980-1991 passenger traffic trends for Newark International Airport.
(a) Use these data to draw a line chart and interpret your results.
(b) Use these data to draw a stem-and-leaf diagram and interpret your results.
figure can't copy

Susan Cooper
Susan Cooper
Numerade Educator
01:25

Problem 13

An advertising executive is interested in the age distribution of the subscribers to Person magazine. The age distribution is as follows:
$$
\begin{array}{lc}
\hline \text { Age } & \text { Number of subscribers } \\
\hline 18-25 & 10,000 \\
26-35 & 25,000 \\
36-45 & 28,000 \\
46-55 & 19,000 \\
56-65 & 10,000 \\
\text { Over } 65 & 7,000 \\
\hline
\end{array}
$$
(a) Use a frequency distribution graph to present these data.
(b) Use a relative frequency distribution to present these data.

Lucas Finney
Lucas Finney
Numerade Educator
00:45

Problem 14

Use the data from question 13 to produce a cumulative frequency graph and a cumulative relative frequency graph.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
06:37

Problem 15

15. Construct stem-and-leaf displays for the 3-month T-bill rate and the prime rate, using the data listed in Table 3.15.
Use the goaltenders' salaries for the $1991 \mathrm{NHL}$ season given in the following table to answer questions $16-20$.
$$
\begin{array}{lll}
\hline \text { Name } & \text { Team } & \text { Gross salary } \\
\hline \text { Patrick Roy } & \text { Montreal Canadiens } & \$ 1.056 \mathrm{M}^{\mathrm{a}} \\
\text { Ed Belfour } & \text { Chicago Blackhawks } & \$ 925,000 \\
\text { Ron Hextall } & \text { Philadelphia Flyers } & \$ 735,000 \\
\text { Mike Richter } & \text { New York Rangers } & \$ 700,000 \\
\text { Kelly Hrudey } & \text { Los Angeles Kings } & \$ 550,000 \\
\text { Mike Liut } & \text { Washington Capitals } & \$ 525,000 \\
\text { Mike Vernon } & \text { Calgary Flames } & \$ 500,000 \\
\text { Grant Fuhr } & \text { Toronto Maple Leafs } & \$ 424,000 \\
\text { John Vanbiesbrouck } & \text { New York Rangers } & \$ 375,000 \\
\text { Ken Wregget } & \text { Philadelphia Flyers } & \$ 375,000 \\
\text { Tom Barrasso } & \text { Pittsburgh Penguins } & \$ 375,000 \\
\hline
\end{array}
$$

Charles Carter
Charles Carter
Numerade Educator
00:18

Problem 16

Group the data given in the table into the following groups: $$\$ 351,000-400,000$$; $401,000-450,000 ; 451,000-500,000 ; 501,000-550,000$; 551,000-600,000; $601,000-650,000 ; 651,000-700,000$; over 701,000.

Hossam Mohamed
Hossam Mohamed
Numerade Educator
00:45

Problem 17

Use your results from question 16 to construct a cumulative frequency table.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
00:45

Problem 18

Use your results from question 16 to construct a relative frequency table and a cumulative relative frequency table.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:22

Problem 19

Use a bar graph to plot the frequency distribution.

Lucas Finney
Lucas Finney
Numerade Educator
00:45

Problem 20

Use a bar graph to plot the cumulative relative frequency.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
04:25

Problem 21

Briefly explain why the Lorenz curve shown in Fig. 3.15b has the shape it does.

Tommy Nguyen
Tommy Nguyen
Numerade Educator
00:34

Problem 22

The students in an especially demanding history class earned the following grades on the midterm exam: $86,75,92,98,71,55,63,82,94,90,80,62,62$, 65 , and 68 . Use MINITAB to draw a stem-and-leaf graph of these grades.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
00:44

Problem 23

Use the data given in question 22 to construct a tally table for the grades. Use intervals 51-60, 61-70, 71-80, 81-90, and 91-100.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
00:19

Problem 24

Construct a cumulative frequency table for the tally table you constructed in question 23.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
00:45

Problem 25

Use the data in question 24 to graph the cumulative frequency on a bar chart by using Microsoft Excel.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:33

Problem 26

Suppose the Gini coefficient in some country were equal to 0 . What would that tell us about income in this country?

Mihir Nayar
Mihir Nayar
Numerade Educator
01:03

Problem 27

Suppose the Gini coefficient in another country were equal to 1 . What would that tell us about income in this country?
Use the following information to answer questions 28-34. Suppose Weight Watchers has collected the following weight loss data, in pounds, for 30 of its clients.
$15,20,10,6,8,18,32,17,19,7,9,12,14,9,25,18,21,3,2,18,12,15,14$, $28,34,30,18,12,11,8$

Tyler Moulton
Tyler Moulton
Numerade Educator
02:48

Problem 28

Construct a tally table for weight loss. Use 5 -lb intervals beginning with $1-5 \mathrm{lb}$, 6-10 lb, etc.

Christy Galilei
Christy Galilei
Numerade Educator
00:19

Problem 29

Construct a cumulative frequency table for weight loss.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:57

Problem 30

Construct a frequency histogram for weight loss using MINITAB.

Jorge Villanueva
Jorge Villanueva
Numerade Educator
02:13

Problem 31

Construct a frequency polygon for weight loss.

Sandile Ndlovu
Sandile Ndlovu
Numerade Educator
00:19

Problem 32

Construct a table for the relative frequencies and the cumulative relative frequencies.

Amrita Bhasin
Amrita Bhasin
Numerade Educator
01:22

Problem 33

Graph the relative frequency.

Lucas Finney
Lucas Finney
Numerade Educator
01:22

Problem 34

Graph the cumulative relative frequency.

Lucas Finney
Lucas Finney
Numerade Educator
04:23

Problem 35

The following graph shows the Lorenz curves for two countries, Modestia and Richardonia. Which country has the most nearly equal distribution of income?
figure can't copy

Luis Fernando Olloqui Regalado
Luis Fernando Olloqui Regalado
Numerade Educator
06:08

Problem 36

Suppose a class of high school seniors had the following distribution of SAT scores in English.
$$
\begin{array}{lc}
\hline \text { SAT score } & \text { Number of students } \\
\hline 401-450 & 8 \\
451-500 & 10 \\
501-550 & 15 \\
551-600 & 6 \\
601-650 & 4 \\
651-700 & 1 \\
\hline
\end{array}
$$
Construct a cumulative frequency table.

Jerelyn Nevil
Jerelyn Nevil
Numerade Educator
06:08

Problem 37

Suppose a class of high school seniors had the following distribution of SAT scores in English.
$$
\begin{array}{lc}
\hline \text { SAT score } & \text { Number of students } \\
\hline 401-450 & 8 \\
451-500 & 10 \\
501-550 & 15 \\
551-600 & 6 \\
601-650 & 4 \\
651-700 & 1 \\
\hline
\end{array}
$$
Use a histogram to graph the cumulative frequencies.

Jerelyn Nevil
Jerelyn Nevil
Numerade Educator
07:43

Problem 38

Suppose a class of high school seniors had the following distribution of SAT scores in English.
$$
\begin{array}{lc}
\hline \text { SAT score } & \text { Number of students } \\
\hline 401-450 & 8 \\
451-500 & 10 \\
501-550 & 15 \\
551-600 & 6 \\
601-650 & 4 \\
651-700 & 1 \\
\hline
\end{array}
$$
Construct a frequency polygon.

Andre Chon
Andre Chon
Numerade Educator
06:08

Problem 39

Suppose a class of high school seniors had the following distribution of SAT scores in English.
$$
\begin{array}{lc}
\hline \text { SAT score } & \text { Number of students } \\
\hline 401-450 & 8 \\
451-500 & 10 \\
501-550 & 15 \\
551-600 & 6 \\
601-650 & 4 \\
651-700 & 1 \\
\hline
\end{array}
$$
Compute the relative frequencies and the cumulative relative frequencies.

Jerelyn Nevil
Jerelyn Nevil
Numerade Educator
00:36

Problem 40

Suppose a class of high school seniors had the following distribution of SAT scores in English.
$$
\begin{array}{lc}
\hline \text { SAT score } & \text { Number of students } \\
\hline 401-450 & 8 \\
451-500 & 10 \\
501-550 & 15 \\
551-600 & 6 \\
601-650 & 4 \\
651-700 & 1 \\
\hline
\end{array}
$$
Construct a relative frequency histogram.

Nick Johnson
Nick Johnson
Numerade Educator
00:36

Problem 41

Suppose a class of high school seniors had the following distribution of SAT scores in English.
$$
\begin{array}{lc}
\hline \text { SAT score } & \text { Number of students } \\
\hline 401-450 & 8 \\
451-500 & 10 \\
501-550 & 15 \\
551-600 & 6 \\
601-650 & 4 \\
651-700 & 1 \\
\hline
\end{array}
$$
Construct a cumulative relative frequency histogram.

Nick Johnson
Nick Johnson
Numerade Educator

Problem 42

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Construct a tally table for the closing stock prices "Close" column. Use $1,000-$ point intervals beginning with 301-1,300, 1,301-2,301, etc.

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04:01

Problem 43

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Compute the change in prices by subtracting the previous closing price from the current closing price.

Md.Daniyal Arshad
Md.Daniyal Arshad
Numerade Educator

Problem 44

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Use your answer to question 43 to construct a tally table. Use 30-point intervals beginning with $-120 \sim-91,-90 \sim-61$, etc.

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Problem 45

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Use your answer to question 44 to compute the cumulative frequencies.

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04:01

Problem 46

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Use your answer to question 44 to compute the relative and cumulative relative frequencies.

Md.Daniyal Arshad
Md.Daniyal Arshad
Numerade Educator
04:01

Problem 47

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Use your answer to question 46 to graph the relative frequency.

Md.Daniyal Arshad
Md.Daniyal Arshad
Numerade Educator
04:01

Problem 48

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Use your answer to question 46 to graph the cumulative frequency.

Md.Daniyal Arshad
Md.Daniyal Arshad
Numerade Educator

Problem 49

Use the following prices of Swiss stocks
$$
\begin{array}{lrc}
\hline \text { Switzerland (in Swiss francs) } & \text { Close } & \text { Prev. close } \\
\hline \text { 1. Alusuisse } & 976 & 982 \\
\text { 2. Brown Boveri } & 3,960 & 4,080 \\
\text { 3. Ciba-Geigy br } & 3,190 & 3,240 \\
\text { 4. Ciba-Geigy reg } & 3,080 & 3,110 \\
\text { 5. Ciba-G ptc ctf } & 3,020 & 3,040 \\
\text { 6. CS Holding } & 1,920 & 1,915 \\
\text { 7. Hof LaRoch br } & 8,280 & 8,300 \\
\text { 8. Roce div rt } & 5,360 & 5,330 \\
\text { 9. Nestle bearer } & 8,420 & 8,450 \\
\text { 10. Nestle reg } & 8,310 & 8,310 \\
\text { 11. Nestle ptc ctf } & 1,570 & 1,585 \\
\text { 12. Sandoz } & 2,390 & 2,410 \\
\text { 13. Sulzer } & 465 & 470 \\
\text { 14. Swiss Bank Cp } & 301 & 299 \\
\text { 15. Swiss Reinsur } & 2,520 & 2,530 \\
\text { 16. Swissair } & 667 & 680 \\
\text { 17. UBS } & 3,230 & 3,230 \\
\text { 18. Winterthur } & 3,390 & 3,420 \\
\text { 19. Zurich Ins } & 4,080 & 4,090 \\
\hline
\end{array}
$$
Create a frequency polygon using data from question 44 .

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01:01

Problem 50

Draw the stem-and-leaf display of DPS of JNJ and Merck during the period 1988-2009 using Table 2.3, in which data on EPS, DPS, and PPS for JNJ, Merck, and S\&P 500 during the period 1988-2009 are given.

Sheryl Ezze
Sheryl Ezze
Numerade Educator

Problem 51

Refer to Table 2.5 , in which the balance sheet of JNJ company for the year 2008 and 2009 are given. Draw the pie chart of the composition of the total current asset of JNJ for the year 2008 and 2009, respectively,
Using Table 2.8, in which the 7 financial ratios of JNJ and Merck during the period 1990-2009 are given.

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00:36

Problem 52

Construct a frequency, cumulative frequency, and relative frequency table for the "price-earnings ratio" (PER) of the JNJ company using class boundaries: $-20.000<$ PER $\leq 0.000,0.000<$ PER $\leq 5.000,5.000<$ PER $\leq 10.000$, $10.000<$ PER $\leq 15.000,15.000<$ PER $\leq 20.000,20.000<$ PER $\leq 27.000$.

Nick Johnson
Nick Johnson
Numerade Educator

Problem 53

Draw the histogram and frequency polygon of the above frequency distribution.

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