Question 1.2 The following shows the temperatures (high, low) and weather condit

Question

Question 1.2 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; pcpartly cloudy. Hi 92 72 Cit Lo Condition Acapulco 78 57 56 58 68 61 Bangkok Mexico Ci Montreal Paris Rome Toronto cl 78 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?

Explanation / Answer

a.      There are 7 elements are in the data sets.

Elements are Acapulco, Bangkok, Mexico City, Montreal, Paris, Rome, Toronto

b.      There are 3 variables in the data sets.

Variables are Hi, Lo, and Condition.

c.       There are 7 observations (99,77,pc) , (92,78,pc) , (77,57,sh) , (72, 56,pc) , (77,58,c) , (88,68,cl), (78,61,c)

d.      Hi and Lo these 2 variables are measured on interval scale. Interval scales possess equal intervals. This two variables are numeric.

Condition variable is ordinal variable. Ordinal scale refers to order in measurement, in addition to providing nominal information.

e.      Hi and Lo these two variables are quantitative because they are numeric and measured on scale. Condition variable is categorical.

f.        Arithmetic operations are appropriate for numeric variables Hi and Lo. Not appropriate for condition variable because it is categorical.   

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