Center and Spread of Data
Kuta Software - Infinite Algebra 1
Name___________________________________
Center and Spread of Data
Date________________ Period____
Find the mode, median, mean, lower quartile, upper quartile, interquartile range, and population standard deviation for each data set.
1)
Test Scores
37 42 48 51 52 53 54
54 55
2)
Mens Heights (Inches)
62 64 69 70 70 71 72
73 74 75 77
3)
Senator
Age
Patrick Leahy 34
Mark Pryor 39
Brian Schatz 40
John Thune 43
Senator Age Carl Levin 44 Rand Paul 47 John Cornyn 50
Age Assumed Office
Senator
Age
Tammy Baldwin 50
Barbara Boxer 52
Claire McCaskill 53
Senator
Age
John Barrasso 54
Kay Hagan 55
Jerry Moran 56
Senator
Age
Mike Johanns 58
John Boozman 60
Jim Risch
65
4)
State
Percent
Colorado
2.9
Louisiana
4
Wyoming
4
Oklahoma
4.5
North Dakota
5
Sales Tax
State
Percent
New Mexico 5.125
Maine
5.5
Florida
6
Idaho
6
State
Percent
Maryland
6
South Carolina
6
Kansas
6.15
Massachusetts 6.25
State
Percent
Washington
6.5
Indiana
7
New Jersey
7
Rhode Island
7
-1-
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Worksheet by Kuta Software LLC
5) Birth Rate by Country
Births/woman
6) Length of Book Titles
# Words
Frequency
7)
Goals in a Hockey Game
Goals
Game
8) Boiling Point (?C)
Stem
Leaf
Key: | = 1,800
Cost (?)
1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012
9) Cost of Electricity, per kWh
Year
Launches
10) European Spacecraft Launches
Year
1976 1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1
Name___________________________________
Center and Spread of Data
Date________________ Period____
Find the mode, median, mean, lower quartile, upper quartile, interquartile range, and population standard deviation for each data set.
1)
Test Scores
37 42 48 51 52 53 54 54 55
Mode = 54, Median = 52,
Mean = 49.56, Q = 45, Q = 54,
IQR = 9 and = 5.83
2)
Mens Heights (Inches)
62 64 69 70 70 71 72 73 74 75 77
Mode = 70, Median = 71,
Mean = 70.64, Q = 69, Q = 74,
IQR = 5 and = 4.27
3)
Age Assumed Office
Senator
Age
Patrick Leahy 34
Mark Pryor 39
Brian Schatz 40
John Thune 43
Senator Age Carl Levin 44 Rand Paul 47 John Cornyn 50
Senator
Age
Tammy Baldwin 50
Barbara Boxer 52
Claire McCaskill 53
Senator
Age
John Barrasso 54
Kay Hagan 55
Jerry Moran 56
Senator
Age
Mike Johanns 58
John Boozman 60
Jim Risch
65
Mode = 50, Median = 51, Mean = 50, Q = 43.5, Q = 55.5, IQR = 12 and = 8.1
4)
Sales Tax
State
Percent
Colorado
2.9
Louisiana
4
Wyoming
4
Oklahoma
4.5
North Dakota
5
State
Percent
New Mexico 5.125
Maine
5.5
Florida
6
Idaho
6
State
Percent
Maryland
6
South Carolina
6
Kansas
6.15
Massachusetts 6.25
State
Percent
Washington
6.5
Indiana
7
New Jersey
7
Rhode Island
7
Mode = 6, Median = 6, Mean = 5.58, Q = 4.75, Q = 6.375, IQR = 1.625 and = 1.14
-1-
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Worksheet by Kuta Software LLC
5) Birth Rate by Country
Births/woman
Mode = 2, Median = 2,
Mean = 2.53, Q = 2, Q = 3,
IQR = 1 and = 0.88
7)
Goals in a Hockey Game
Goals
Game
Mode = 7, Median = 5, Mean = 5, Q = 3,
Q = 7, IQR = 4 and = 1.9
9) Cost of Electricity, per kWh
Cost (?)
6) Length of Book Titles
# Words
Frequency
Mode = 2, Median = 3,
Mean = 3.44, Q = 2, Q = 4.5,
IQR = 2.5 and = 1.41
8) Boiling Point (?C)
Stem
Leaf
Key: | = 1,800
Mode = 300, Median = 2,000, Mean = 1,887.5, Q = 300,
Q = 3,050, IQR = 2,750 and
= 1,458.54
10) European Spacecraft Launches
Launches
1976 1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004
1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012
Year
Mode = 9, Median = 9, Mean = 9.47,
Q = 8, Q = 11, IQR = 3 and
= 1.63
Year
Mode = 2 and 12, Median = 6,
Mean = 7.6, Q = 3, Q = 12,
IQR = 9 and = 4.63
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-2-
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Worksheet by Kuta Software LLC
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