The following shows the temperatures high low and weather co

The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c: clear; cl: cloudy; sh: showers; pc: partly cloudy.

City                            Hi                Lo             Condition
Acapulco                   A1                B1                  pc
Bangkok                    A2                B2                  pc
Mexico City               A3                B3                  sh
Montreal                    A4                B4                  pc
Paris                        A5                 B5                  c
Rome                       A6                 B6                  cl
Toronto                     A7                 B7                   c

a. How many elements are in this data set?
b. How many variables are in this data set?
c. How many observations are in this data set?
d. Name the scale of measurement for each of the variables.
e. Name the variables and indicate whether they are categorical or quantitative.
f. For which variables are arithmetic operations appropriate and for which are they not appropriate?

Solution

a)7 : each city is an element

b)3 : hi, low ,conditions

c)7: 1 observation for each city.

d)temperature- quantitative weather- categorial

e)hi: quantitative lo: quantitative condition: categorial

f) hi: appropriate lo: appropriate condition: not appropriate