4. Knowledge and Understanding Calculate a bin width that would form five uniform intervals for the following data. (a) 13, 7, 5, 7, 9, 10, 5, 11, 8, 7, 9, 10, 10, 11, 14, 10, 6, 12, 6, 9, 7, 12, 9, 10, 6 (b) 0.59, 0.46, 0.48, 0.52, 0.15, 0.60, 0.86, 0.55, 0.97, 0.86, 0.37, 0.70, 0.60, 0.34, 0.65, 0.94, 0.60, 0.35 (c) 186, 124, 196, 206, 148, 162, 144, 167, 184, 152, 182, 184, 127, 183, 179, 185, 170, 135, 141, 126, 157, 126, 206, 196, 185, 186, 117, 129, 155, 146 (d) 0.8, –0.8, 0.0, 0.8, 0.1, 0.5, 0.9, 0.4, 0.3, 1.1, –0.8, –0.2, –2.2, 0.8, 1.9, -1.9, 0.1, 1.3, 0.9, –0.1, 0.8, 1.6, 1.4, 0.4, –0.8, 0.5, –0.3, –1.0, 1.2, -0.4, –1.1, 0.0, 0.2, –1.7, –0.3, 0.1, –1.6, –1.8, -0.6, –0.9 5. Calculate the starting and ending point for each of the five intervals in Question 4.

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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Calculate the starting and ending point for each of the five intervals in Question 4.
4. Knowledge and Understanding Calculate a bin width that would form
five uniform intervals for the following data.
(a) 13, 7, 5, 7, 9, 10, 5, 11, 8, 7, 9, 10, 10, 11, 14, 10, 6, 12, 6, 9, 7, 12, 9,
10, 6
(b) 0.59, 0.46, 0.48, 0.52, 0.15, 0.60, 0.86, 0.55, 0.97, 0.86, 0.37, 0.70,
0.60, 0.34, 0.65, 0.94, 0.60, 0.35
(c) 186, 124, 196, 206, 148, 162, 144, 167, 184, 152, 182, 184, 127, 183,
179, 185, 170, 135, 141, 126, 157, 126, 206, 196, 185, 186, 117, 129,
155, 146
(d) 0.8, –0.8, 0.0, 0.8, 0.1, 0.5, 0.9, 0.4, 0.3, 1.1, -0.8, –0.2, –2.2, 0.8,
1.9, -1.9, 0.1, 1.3, 0.9, –0.1, 0.8, 1.6, 1.4, 0.4, –0.8, 0.5, –0.3, –1.0,
1.2, -0.4, – 1.1, 0.0, 0.2, –1.7, -0.3, 0.1, –1.6, –1.8, –0.6, –0.9
5. Calculate the starting and ending point for each of the five intervals in
Question 4.
B
6. Use the intervals in Question 5 to create an appropriate histogram.
7. Application
(a) Construct an appropriate graphical display of the following informa-
tion from the Men's Professional Golf Association.
Rank
Name
Events Earnings ($)
Events Earnings ($)
Rank
Name
1
Tiger Woods
19
5 687 777
7
Scott Hoch
24
2 875 319
Phil Mickelson
23
4 403 883
8
David Duval
20
2 801 760
3
David Toms
28
3 791 595
9
Bob Estes
26
2 795 477
4
Vijay Singh
26
3 440 829
10
Scott Verplank
26
2 783 401
Davis Love IIl
20
3 169 463
11
Mike Weir
23
2 777 936
Sergio Garcia
18
2 898 635
12
Chris DiMarco
29
2 595 201
Source: CNN/Sports Illustrated
(b) The same information is given below for the Ladies' Professional
Golf Association. Construct a graphic representation of the two tables
that allows you to compare the winnings of the top 12 male and top
12 female golfers on tour.
Rank
Name
Events Earnings ($}
Rank
Name
Events Earnings ($)
1
Annika Sorenstam
26
Dottie Pepper
2 105 868
23
776 482
2
Se Ri Pak
21
1 623 009
8
Mi Hyun Kim
29
762 363
3
Karrie Webb
22
1 535 404
9
Laura Diaz
27
751 466
4
Lorie
22
947 489
10
Catriona Matthew
29
747 970
5
Maria Hjorth
29
848 195
11
Rachel Teske
27
713 129
6
Rosie Jones
23
785 010
12
Wendy Ward
26
686 906
Source: CNN/Sports Illustrated
3.1 GRAPHICAL DISPLAYS OF INFORMATION
147
Transcribed Image Text:4. Knowledge and Understanding Calculate a bin width that would form five uniform intervals for the following data. (a) 13, 7, 5, 7, 9, 10, 5, 11, 8, 7, 9, 10, 10, 11, 14, 10, 6, 12, 6, 9, 7, 12, 9, 10, 6 (b) 0.59, 0.46, 0.48, 0.52, 0.15, 0.60, 0.86, 0.55, 0.97, 0.86, 0.37, 0.70, 0.60, 0.34, 0.65, 0.94, 0.60, 0.35 (c) 186, 124, 196, 206, 148, 162, 144, 167, 184, 152, 182, 184, 127, 183, 179, 185, 170, 135, 141, 126, 157, 126, 206, 196, 185, 186, 117, 129, 155, 146 (d) 0.8, –0.8, 0.0, 0.8, 0.1, 0.5, 0.9, 0.4, 0.3, 1.1, -0.8, –0.2, –2.2, 0.8, 1.9, -1.9, 0.1, 1.3, 0.9, –0.1, 0.8, 1.6, 1.4, 0.4, –0.8, 0.5, –0.3, –1.0, 1.2, -0.4, – 1.1, 0.0, 0.2, –1.7, -0.3, 0.1, –1.6, –1.8, –0.6, –0.9 5. Calculate the starting and ending point for each of the five intervals in Question 4. B 6. Use the intervals in Question 5 to create an appropriate histogram. 7. Application (a) Construct an appropriate graphical display of the following informa- tion from the Men's Professional Golf Association. Rank Name Events Earnings ($) Events Earnings ($) Rank Name 1 Tiger Woods 19 5 687 777 7 Scott Hoch 24 2 875 319 Phil Mickelson 23 4 403 883 8 David Duval 20 2 801 760 3 David Toms 28 3 791 595 9 Bob Estes 26 2 795 477 4 Vijay Singh 26 3 440 829 10 Scott Verplank 26 2 783 401 Davis Love IIl 20 3 169 463 11 Mike Weir 23 2 777 936 Sergio Garcia 18 2 898 635 12 Chris DiMarco 29 2 595 201 Source: CNN/Sports Illustrated (b) The same information is given below for the Ladies' Professional Golf Association. Construct a graphic representation of the two tables that allows you to compare the winnings of the top 12 male and top 12 female golfers on tour. Rank Name Events Earnings ($} Rank Name Events Earnings ($) 1 Annika Sorenstam 26 Dottie Pepper 2 105 868 23 776 482 2 Se Ri Pak 21 1 623 009 8 Mi Hyun Kim 29 762 363 3 Karrie Webb 22 1 535 404 9 Laura Diaz 27 751 466 4 Lorie 22 947 489 10 Catriona Matthew 29 747 970 5 Maria Hjorth 29 848 195 11 Rachel Teske 27 713 129 6 Rosie Jones 23 785 010 12 Wendy Ward 26 686 906 Source: CNN/Sports Illustrated 3.1 GRAPHICAL DISPLAYS OF INFORMATION 147
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