Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 15CR
Tail lengths (in feet) for a sample of American alligators are listed.
- (a) Find the mean, median, and
mode of the tail lengths. Which best describes a typical American alligator tail length? Explain your reasoning. - (b) Find the
range , variance, and standard deviation of the data set.
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Section 2.2 Subsets
71
Exercise Set 2.2
Practice Exercises
In Exercises 1-18, write or in each blank so that the resulting
statement is true.
1. {1, 2, 5}
{1, 2, 3, 4, 5, 6, 7}
2. {2, 3, 7}
{1, 2, 3, 4, 5, 6, 7}
3. {-3, 0, 3}
{-4,-3,-1, 1, 3, 4}
4. {-4, 0, 4}
5. {Monday, Friday}
{-3, -1, 1, 3}
{Saturday, Sunday, Monday, Tuesday, Wednesday}
6. {Mercury, Venus, Earth}
{Venus, Earth, Mars, Jupiter}
7. {x/x is a cat}
{xx is a black cat}
{x|x is a pure-bred dog}
ibrary
mbers,
ause the
entire
sual
8. {xx is a dog}
9. (c, o, n, v, e, r, s, a, t, i, o, n}
{v, o, i, c, e, s, r, a, n, t, o, n}
10. [r, e, v, o, l, u, t, i, o, n}
{t, o, l, o, v, e, r, u, i, n}
33. A = {x|x E N
and
5 < x < 12}
B
=
{x|x E N
and
2 ≤ x ≤ 11}
A_ B
34. A =
{x|x = N
and
3 < x < 10}
B =
A.
{x|x = N
and
2 ≤ x ≤ 8}
B
35. Ø
{7, 8, 9,..., 100}
36. Ø
_{101, 102, 103, . . ., 200}
37. [7, 8, 9,...}
38. [101, 102, 103, ...}
39. Ø
40. { }
{ }
e
In Exercises 41-54, determine whether each statement is true or
false. If…
A = 5.8271 ± 0.1497
=
B 1.77872 ± 0.01133
C=0.57729 ± 0.00908
1. Find the relative uncertainty of A, B, and C
2. Find A-3
3. Find 7B
4. Find A + B
5. Find A B-B
-
6. Find A * B
7. Find C/B
8. Find 3/A
9. Find A 0.3B
-
10. Find C/T
11. Find 1/√A
12. Find AB²
Why charts,graphs,table??? difference between regression and correlation analysis.
Chapter 2 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 2.1 - Prob. 1TYCh. 2.1 - Prob. 2TYCh. 2.1 - Prob. 3TYCh. 2.1 - Prob. 4TYCh. 2.1 - Prob. 5TYCh. 2.1 - Prob. 6TYCh. 2.1 - Prob. 7TYCh. 2.1 - What are some benefits of representing data sets...Ch. 2.1 - Why should the number of classes in a frequency...Ch. 2.1 - What is the difference between class limits and...
Ch. 2.1 - What is the difference between relative frequency...Ch. 2.1 - After constructing an expanded frequency...Ch. 2.1 - What is the difference between a frequency polygon...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - True or False? In Exercises 710, determine whether...Ch. 2.1 - Prob. 10ECh. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - In Exercises 1114, use the minimum and maximum...Ch. 2.1 - Reading a Frequency Distribution In Exercises 15...Ch. 2.1 - Prob. 15ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Constructing a Frequency Distribution and a...Ch. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - In Exercises 43 and 44, use the data set and the...Ch. 2.1 - Prob. 44ECh. 2.1 - What Would You Do? You work at a bank and are...Ch. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.2 - Prob. 1TYCh. 2.2 - Prob. 2TYCh. 2.2 - Prob. 3TYCh. 2.2 - Prob. 4TYCh. 2.2 - Prob. 5TYCh. 2.2 - Prob. 6TYCh. 2.2 - Prob. 7TYCh. 2.2 - Name some ways to display quantitative data...Ch. 2.2 - What is an advantage of using a stem-and-leaf plot...Ch. 2.2 - In terms of displaying data, how is a...Ch. 2.2 - How is a Pareto chart different from a standard...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Putting Graphs in Context In Exercises 58, match...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Graphical Analysis In Exercises 912, use the...Ch. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Graphing Data Sets In Exercises 1732, organize the...Ch. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Hourly Wages Use a scatter plot to display the...Ch. 2.2 - Salaries Use a scatter plot to display the data...Ch. 2.2 - Prob. 31ECh. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Favorite Day of the Week Display the data below in...Ch. 2.2 - A Misleading Graph? 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What...Ch. 2.4 - Explain how to find the deviation of an entry in a...Ch. 2.4 - Why is the standard deviation used more frequently...Ch. 2.4 - Explain the relationship between variance and...Ch. 2.4 - Describe the difference between the calculation of...Ch. 2.4 - Given a data set. how do you know whether to...Ch. 2.4 - Discuss the similarities and the differences...Ch. 2.4 - What must you know about a data set before you can...Ch. 2.4 - Prob. 9ECh. 2.4 - Finding the Range of a Data Set In Exercises 9 and...Ch. 2.4 - Archaeology The depths (in inches) at which 10...Ch. 2.4 - In Exercise 11, compare your answer to part (a)...Ch. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Estimating Standard Deviation Both data sets shown...Ch. 2.4 - Estimating Standard Deviation Both data sets shown...Ch. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Constructing Data Sets In Exercises 2528,...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using the Empirical Rule In Exercises 2934, use...Ch. 2.4 - Using Chebychevs Theorem You are conducting a...Ch. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Estimating the Sample Mean and Standard Deviation...Ch. 2.4 - Estimating the Sample Mean and Standard Deviation...Ch. 2.4 - Prob. 42ECh. 2.4 - Prob. 43ECh. 2.4 - Prob. 44ECh. 2.4 - Prob. 45ECh. 2.4 - Prob. 46ECh. 2.4 - Prob. 47ECh. 2.4 - Prob. 48ECh. 2.4 - Prob. 49ECh. 2.4 - Prob. 50ECh. 2.4 - Prob. 51ECh. 2.4 - Prob. 52ECh. 2.4 - Prob. 53ECh. 2.4 - Prob. 54ECh. 2.4 - Specify the lower limit to be 10 and the upper...Ch. 2.4 - Specify the lower limit to be 30 and the upper...Ch. 2.4 - Prob. 1CSCh. 2.4 - Prob. 2CSCh. 2.4 - Prob. 3CSCh. 2.4 - Prob. 4CSCh. 2.4 - Prob. 5CSCh. 2.4 - Prob. 6CSCh. 2.5 - Prob. 1TYCh. 2.5 - Prob. 2TYCh. 2.5 - Prob. 3TYCh. 2.5 - Prob. 4TYCh. 2.5 - Prob. 5TYCh. 2.5 - Prob. 6TYCh. 2.5 - Prob. 7TYCh. 2.5 - Prob. 8TYCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Explain how to identify outliers using the...Ch. 2.5 - Describe the relationship between quartiles and...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - True or False? In Exercises 710, determine whether...Ch. 2.5 - Finding Quartiles, Interquartile Range, and...Ch. 2.5 - Prob. 12ECh. 2.5 - Prob. 13ECh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Drawing a Box-and-Whisker Plot In Exercises 1518,...Ch. 2.5 - Prob. 20ECh. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Graphical Analysis In Exercises 1922, use the...Ch. 2.5 - Prob. 25ECh. 2.5 - Using Technology to Find Quartiles and Draw Graphs...Ch. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Finding a Percentile In Exercises 3336, use the...Ch. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Life Spans of Tires A brand of automobile tire has...Ch. 2.5 - Life Spans of Fruit Flies The life spans of a...Ch. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Song Lengths Side-by-side box-and-whisker plots...Ch. 2.5 - Credit Card Purchases The credit card purchases...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2.5 - Modified Box-and-Whisker Plot In Exercises 5962,...Ch. 2 - Prob. 2.1.1RECh. 2 - Prob. 2.1.2RECh. 2 - Prob. 2.1.3RECh. 2 - Prob. 2.1.4RECh. 2 - Prob. 2.1.5RECh. 2 - Prob. 2.1.6RECh. 2 - Prob. 2.2.7RECh. 2 - Prob. 2.2.8RECh. 2 - Prob. 2.2.9RECh. 2 - Prob. 2.2.10RECh. 2 - Prob. 2.2.11RECh. 2 - Prob. 2.2.12RECh. 2 - Prob. 2.3.13RECh. 2 - Prob. 2.3.14RECh. 2 - For the six test scores 78, 72, 86, 91, 87, and...Ch. 2 - For the four test scores 96, 85, 91, and 86, the...Ch. 2 - Estimate the mean of the frequency distribution...Ch. 2 - The frequency distribution shows the numbers of...Ch. 2 - Prob. 2.3.19RECh. 2 - Prob. 2.3.20RECh. 2 - In Exercises 21 and 22, determine whether the...Ch. 2 - In Exercises 21 and 22, determine whether the...Ch. 2 - Prob. 2.3.23RECh. 2 - For the histogram in Exercise 21, which is...Ch. 2 - In Exercises 25 and 26, find the range, mean,...Ch. 2 - Prob. 2.4.26RECh. 2 - Prob. 2.4.27RECh. 2 - Prob. 2.4.28RECh. 2 - Prob. 2.4.29RECh. 2 - Prob. 2.4.30RECh. 2 - Prob. 2.4.31RECh. 2 - Prob. 2.4.32RECh. 2 - From a random sample of households, the numbers of...Ch. 2 - From a random sample of airplanes, the numbers of...Ch. 2 - In Exercises 35 and 36, find the coefficient of...Ch. 2 - Prob. 2.4.36RECh. 2 - Prob. 2.5.37RECh. 2 - Prob. 2.5.38RECh. 2 - Prob. 2.5.39RECh. 2 - Prob. 2.5.40RECh. 2 - Prob. 2.5.41RECh. 2 - Prob. 2.5.42RECh. 2 - A students test grade of 75 represents the 65th...Ch. 2 - Prob. 2.5.44RECh. 2 - Prob. 2.5.45RECh. 2 - Prob. 2.5.46RECh. 2 - Prob. 2.5.47RECh. 2 - Prob. 2.5.48RECh. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 1RSRDCh. 2 - Prob. 2RSRDCh. 2 - Prob. 3RSRDCh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 5TCh. 2 - Prob. 6TCh. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - In Exercices 1 and 2, identify the sampling...Ch. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Tail lengths (in feet) for a sample of American...Ch. 2 - Prob. 16CRCh. 2 - Prob. 17CRCh. 2 - Prob. 18CRCh. 2 - Prob. 19CR
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- Need help answering wuestionarrow_forwardThe following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts. Click on the datafile logo to reference the data. DATA file Company DeWolfe Companies Exchange Ticker Symbol Market Cap ($ millions) Price/ Gross Profit Earnings Ratio Margin (%) AMEX DWL 36.4 8.4 36.7 North Coast Energy OTC NCEB 52.5 6.2 59.3 Hansen Natural Corp. OTC HANS 41.1 14.6 44.8 MarineMax, Inc. NYSE HZO 111.5 7.2 23.8 Nanometrics Incorporated OTC NANO 228.6 38.0 53.3 TeamStaff, Inc. OTC TSTF 92.1 33.5 4.1 Environmental Tectonics AMEX ETC 51.1 35.8 35.9 Measurement Specialties AMEX MSS 101.8 26.8 37.6 SEMCO Energy, Inc. NYSE SEN 193.4 18.7 23.6 Party City Corporation OTC PCTY 97.2 15.9 36.4 Embrex, Inc. OTC EMBX 136.5 18.9 59.5 Tech/Ops Sevcon, Inc. AMEX ΤΟ 23.2 20.7 35.7 ARCADIS NV OTC ARCAF 173.4…arrow_forwardThe following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors (aaii.com, February 2002). Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts. Click on the datafile logo to reference the data. DATA file Company DeWolfe Companies Exchange AMEX Ticker Symbol Market Cap Price/ Gross Profit Earnings Margin ($ millions) Ratio (%) DWL 36.4 8.4 36.7 North Coast Energy OTC NCEB 52.5 6.2 59.3 Hansen Natural Corp. OTC HANS 41.1 14.6 44.8 MarineMax, Inc. NYSE HZO 111.5 7.2 23.8 Nanometrics Incorporated OTC NANO 228.6 38.0 53.3 TeamStaff, Inc. OTC TSTF 92.1 33.5 4.1 Environmental Tectonics AMEX ETC 51.1 35.8 35.9 Measurement Specialties AMEX MSS 101.8 26.8 37.6 SEMCO Energy, Inc. NYSE SEN 193.4 18.7 23.6 Party City Corporation OTC PCTY 97.2 15.9 36.4 Embrex, Inc. OTC EMBX 136.5 18.9 59.5 Tech/Ops Sevcon, Inc. AMEX ΤΟ 23.2 20.7 35.7 ARCADIS NV OTC ARCAF 173.4…arrow_forward
- The following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013). a. What index has the largest positive YTD % Change? Round your answer to once decimal place. index with a YTD % Change of % b. Using a class width of 5 beginning with -20 and going to 40, develop a frequency distribution for the data. YTD % Change Frequency -20 - -15 -15 - -10 -10 - -5 -5 - 0 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 30 - 35 c. 1. 2. 3. 4.arrow_forwardThe following data show the year to date percent change (YTD % Change) for 30 stock-market indexes from around the word (The Wall Street Journal, August 26, 2013). Click on the datafile logo to reference the data. DATA file Country Australia Index S&P/ASX200 YTD % Change 10.2 Belgium Bel-20 12.6 Brazil São Paulo Bovespa -14.4 Canada S&P/TSX Comp 2.6 Chile Santiago IPSA -16.3 China Shanghai Composite -9.3 Eurozone EURO Stoxx 10.0 France CAC 40 11.8 Germany DAX 10.6 Hong Kong Hang Seng -3.5 India S&P BSE Sensex -4.7 Israel Tel Aviv 1.3 Italy FTSE MIB 6.6 Japan Nikkei 31.4 Mexico IPC All-Share -6.4 Netherlands AEX 9.3 Singapore Straits Times -2.5 South Korea Kospi -6.4 Spain IBEX 35 6.4 Sweden Switzerland SX All Share 13.8 Swiss Market 17.4 Taiwan Weighted 2.3 U.K. FTSE 100 10.1 U.S. S&P 500 16.6 U.S. DJIA 14.5 U.S. Dow Jones Utility 6.6 U.S. Nasdaq 100 17.4 U.S. Nasdaq Composite 21.1 World DJ Global ex U.S. 4.2 World DJ Global Index 9.9 a. What index has the largest positive YTD %…arrow_forwardDescribe a three step process you choose to determine how many elementary schools there are in the city of 5 million people.arrow_forward
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