Center and Spread of Data

Kuta Software - Infinite Pre-Algebra

Name___________________________________

Center and Spread of Data

Date________________ Period____

Find the mode, median, mean, range, lower quartile, upper quartile, interquartile range, and mean absolute deviation for each data set.

1)

Shoe Size

6.5

7 7.5 8 8 8 9

10 10.5

2) Hits in a Round of Hacky Sack

2 3 334467 12 18 19

3)

Movie

# Awards

The Greatest Show on Earth

2

Gentleman's Agreement

3

The Great Ziegfeld

3

The King's Speech

4

Academy Awards

Movie

# Awards

No Country for Old Men

4

Unforgiven

4

It Happened One Night

5

Forrest Gump

6

Movie

# Awards

Mrs. Miniver

6

Lawrence of Arabia

7

On the Waterfront

8

4)

Plant Days

Bok Choi 45

Okra

55

Plant

Days

Swiss Chard 60

Bell Pepper 75

Average Time to Maturity

Plant

Days

Sugar Baby Watermelon 75

Cantaloupe

80

Plant

Days

Honeydew

80

Beefsteak Tomato 80

Plant Days Rutabaga 90 Tomatillo 100

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Worksheet by Kuta Software LLC

$15,000 $25,000 $35,000 $45,000 $55,000 $65,000 $75,000 $85,000 $95,000 $105,000 $115,000 $125,000 $135,000 $145,000 $155,000 $165,000 $175,000

1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010

5)

European Spacecraft Launches

Launches

Year

Tax Rate (%)

6)

Federal Income Tax

Income

7) Goals in a Hockey Game

Goals

Frequency

8) Mountain Heights (ft) Stem Leaf

Key: | = 24,200

9)

US Senators When Assuming Office

Age

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Pre-Algebra

Name___________________________________

Center and Spread of Data

Date________________ Period____

Find the mode, median, mean, range, lower quartile, upper quartile, interquartile range, and mean absolute deviation for each data set.

1)

Shoe Size

6.5

7 7.5 8 8 8 9

10 10.5

Mode = 8, Median = 8, Mean = 8.28,

Range = 4, Q = 7.25, Q = 9.5,

IQR = 2.25 and MAD = 1.04

2) Hits in a Round of Hacky Sack

2 3 334467 12 18 19

Mode = 3, Median = 4, Mean = 7.36,

Range = 17, Q = 3, Q = 12, IQR = 9

and MAD = 4.89

3)

Movie

# Awards

The Greatest Show on Earth

2

Gentleman's Agreement

3

The Great Ziegfeld

3

The King's Speech

4

Academy Awards

Movie

# Awards

No Country for Old Men

4

Unforgiven

4

It Happened One Night

5

Forrest Gump

6

Movie

# Awards

Mrs. Miniver

6

Lawrence of Arabia

7

On the Waterfront

8

Mode = 4, Median = 4, Mean = 4.73, Range = 6, Q = 3, Q = 6, IQR = 3 and MAD = 1.52

4)

Plant Days

Bok Choi 45

Okra

55

Plant

Days

Swiss Chard 60

Bell Pepper 75

Average Time to Maturity

Plant

Days

Sugar Baby Watermelon 75

Cantaloupe

80

Plant

Days

Honeydew

80

Beefsteak Tomato 80

Plant Days Rutabaga 90 Tomatillo 100

Mode = 80, Median = 77.5, Mean = 74, Range = 55, Q = 60, Q = 80, IQR = 20 and MAD = 12.4

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Worksheet by Kuta Software LLC

$15,000 $25,000 $35,000 $45,000 $55,000 $65,000 $75,000 $85,000 $95,000 $105,000 $115,000 $125,000 $135,000 $145,000 $155,000 $165,000 $175,000

5)

European Spacecraft Launches

Launches

Tax Rate (%)

6)

Federal Income Tax

1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010

Year

Mode = 8 and 12, Median = 11,

Mean = 11.4, Range = 9, Q = 9, Q = 13,

IQR = 4 and MAD = 2.43

Income

Mode = 23 and 24, Median = 21, Mean = 19.76, Range = 12, Q = 16.5,

Q = 23, IQR = 6.5 and MAD = 3.34

7) Goals in a Hockey Game

Goals

Frequency

Mode = 5 and 7, Median = 7, Mean = 6.47, Range = 7, Q = 5,

Q = 8, IQR = 3 and MAD = 1.71

9)

US Senators When Assuming Office

8) Mountain Heights (ft)

Stem Leaf

Key: | = 24,200

Mode = 24,200, Median = 24,200, Mean = 24,482.35, Range = 3,100, Q = 23,850,

Q = 24,750, IQR = 900 and

MAD = 588.93

Age

Mode = 50, Median = 52.5, Mean = 54.31, Range = 23,

Q = 49, Q = 60.5, IQR = 11.5 and MAD = 5.98

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Worksheet by Kuta Software LLC

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