CK-12 Probability and Statistics - Advanced

http://www.ck12.org Chapter 1. An Introduction to Analyzing Statistical Data

TABLE1.14:

Observed Data Deviations (x−x ̄^2 )

13. 18

12. 65

12. 87

13. 32

12. 93

Sum of the deviations→

(c) Calculate the variance

(d) Calculate the standard deviation

(e) Explain what the standard deviation means in the context of the problem.

13. The following table includes data on the number of square kilometers of the more substantial islands of
    the Galapagos Archipelago (there are actually many more islands if you count all the small volcanic rock
    outcroppings as islands).

TABLE1.15:

Island Approximate Area (sq. km)

Baltra 8

Darwin 1. 1

Española 60

Fernandina 642

Floreana 173

Genovesa 14

Isabela 4640

Marchena 130

North Seymour 1. 9

Pinta 60

Pinzón 18

Rabida 4. 9

San Cristóbal 558

Santa Cruz 986

Santa Fe 24

Santiago 585

South Plaza 0. 13

Wolf 1. 3

Source: http://en.wikipedia.org/wiki/Gal%C3%A1pagos_Islands

(a) Calculate the mode, mean, median, quartiles, range, and standard deviation for this data.

Mode:

Mean:

Median:

Upper Quartile:

Lower Quartile: