Geography 226

Lab 1


Descriptive Statistics

A thirsty old Viking named Bede
Made a long row of tumblers of mead.
Play a tune on your fiddle
For the glass in the middle
It’s the meadian median indeed.

1. Classify the variables below (indicate whether they are qualitative or quantitative, discrete or continuous and the level of measurement): (5 marks)

Variable

Qual/Quant

Disc/Cont

Level

Local tree species:  Cedar     Oak     Fir     Arbutus     Hemlock

 

 

 

Latitude (º)

 

 

 

Education: high school, undergraduate, graduate

 

 

 

Average housing cost ($)

 

 

 

Skaters per hour at a skate park

 

 

 

Height of daily tides (m)

 

 

 

Forest fire hazard: low, medium, high, extreme

 

 

 

Commuting distance (km)

 

 

 

Hair colour   1=blond   2=brown   3=red

 

 

 

Temperature (ºK) (HINT : What happens at 0ºK ? Look up Kelvin Scale

 

 

 

 

2. Calculate the mean and standard deviation by hand for the sample observations below. Show your calculations.  (4 Marks)

12

8

6

15

10

13

20

11

 

 

 

 

 

 

 

 

3. The table below summarizes responses to a customer satisfaction survey for a whale watching company. Calculate the relative frequency for each satisfaction category. You may express the relative frequency as a decimal or a percentage. (2)

Category

Frequency

Relative frequency

%

Very Satisfied

4

 

 

Satisfied

12

 

 

Neutral

8

 

 

Dissatisfied

3

 

 

Very dissatisfied

1

 

 


 

4. Artisinal fishers are critically important to people around the world. In the Lao People's Democratic Republic, thousands of rural people depend on the Mekong River fish stocks for their livelihoods. In the Khong District of Champasak Province, several villages are participating in an aquatic resource co-management project. The project is described in:

Baird, I and M. Flaherty. 2000. Local Waters, International Markets: A Review of the Sustainability of a Mekong River Probarbus Fishery in Southern Laos. Bergano, Italy: CESVI.

We will use a small subset of the available data.

The following data were collected for 20 fishers in 3 villages along the Mekong River during the 1995 fishing season. The data are located in the SPSS file CATCH.SAV. The variables are:

Fisher ID: identification code assigned to each fisher
Village ID: identification code assigned to each village
Gear: type of traditional fishing gear used
Catch: total weight of fish caught in kilograms by each fisher

a) Classify the variables in the data set (1 mark)

 

 

b)     Provide the following descriptive statistics for Catch: (8)

Calculate by hand and show work:

Obtain from SPSS:

o    Median (1)

 

 

 

o    Mode (1)

 

 

o    Range (1)

 

 

 

o    Interquartile range  (3)

 

 

 

 

 

 

 

 

 

 

 

 

o    Mean (1)

o    Standard deviation (1)

 

c)        Generate a histogram for the Catch data in SPSS. Sketch a curve on the histogram using SPSS and indicate  by hand on the printout where the mean, median and mode lie. Describe the shape of the distribution.  (3 marks)
 

 

 

 

d)         Which measure of central tendency and of dispersion are most appropriate for summarizing the variable Catch? Explain why. (2)

 

 

 

e)      Is it appropriate to calculate a measure of central tendency for the Gear variable? Explain why or why not.  (2)
 

 

 

5. The catch data is part of a continuing study, initiated in 1994. The mean catch per fisher for each year is presented below. Insert the mean and standard deviation that you calculated for 1995 (from question 4).

Year

Fishers

Mean catch per fisher (kg)

Standard deviation (kg)

1994

19

352.6

61.2

1995

20

*

*

1996

36

274.8

55.6

1997

52

147.3

33.9

1998

41

220.9

37.2

  1. Calculate the overall mean catch per fisher for the five years using the weighted mean formula. Briefly explain why you must use this formula.  ( 3 marks)
     

 

 

 

 

 

 

  1. Calculate the coefficient of variation for each year’s catch. Which year has the most variable catch? (3 marks)
     

 

 

 

 

 

 


Show all lab work, including tables, graphs and calculations!


Marking Guide (Lab Total = 33)

Question

Mark

 

Question

Mark

 

Question

Mark

Q1

5 (0.5 per variable – no part marks)

Q4

a.

1

Q5

a.

3

Q2

4

b.

8

b.

3

Q3

2

c.

3

 

 

 

 

 

 

 

d.

2

 

 

 

 

e.

2