CK-12 Probability and Statistics - Advanced

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 2. Visualizations of Data


Part Two: Open-Ended Questions



  1. The Burj Dubai will become the world’s tallest building when it is completed. It will be twice the height of
    the Empire State Building in New York.


TABLE2.32:


Building City Height (ft)
Taipei 101 Tapei 1671
Shanghai World Financial Center Shanghai 1614
Petronas Tower Kuala Lumpur 1483
Sears Tower Chicago 1451
Jin Mao Tower Shanghai 1380
Two International Finance Cen-
ter

Hong Kong 1362

CITIC Plaza Guangzhou 1283
Shun Hing Square Shenzen 1260
Empire State Building New York 1250
Central Plaza Hong Kong 1227
Bank of China Tower Hong Kong 1205
Bank of America Tower New York 1200
Emirates Office Tower Dubai 1163
Tuntex Sky Tower Kaohsiung 1140

The chart lists the 15 tallest buildings in the world (as of 12/2007).


(a) Complete the table below and draw an ogive plot of the resulting data.


TABLE2.33:


Class Frequency Relative Frequency Cumulative
Frequency

Relative Cumulative
Frequency

(b) Use your ogive plot to approximate the median height for this data.


(c) Use your ogive plot to approximate the upper and lower quartiles.


(d) Find the 90thpercentile for this data (i.e. the height that 90% of the data is less than)



  1. Recent reports have called attention to an inexplicable collapse of the Chinook Salmon population in western
    rivers (see http://www.nytimes.com/2008/03/17/science/earth/17salmon.html)..) The following data tracks the
    fall salmon population in the Sacramento River from 1971 to 2007.


TABLE2.34:


Year∗ Adults Jacks
1971-1975 164 , 947 37 , 409
1976-1980 154 , 059 29 , 117
1981-1985 169 , 034 45 , 464
1986-1990 182 , 815 35 , 021
1991-1995 158 , 485 28 , 639
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