Answers business statistics test

1 Give an example of:
 A nominal variable:
 Gender – Male/Female
 Marital status
 An ordinal variable:
 2, 3 and 4- star restaurant
 Ranking television programmes by popularity
 Finishing position in race
 An interval variable:
 Intelligence
 Temperature
 A ratio variable starts:
 Reaction time
 Weight
 Age
 Frequencies of behaviors

2a) For which purpose are the following statistical techniques used? &
2b) Which measurement levels are required for each technique?
 Mode
o The mode is the score that occurs most frequently
o Nominal, Ordinal, Interval, Ratio
 Median
o Order the scores from the lowest to the highest score and then simply find the
middle score
o Ordinal, Ratio, Interval
 Mean
o The average score
o Interval, Ratio
 Standard Deviation
o The average deviation from the mean
o Interval, Ratio
 T-test
o Used to compare means from two separate samples
o Interval, Ratio
 Chi-square
o Used to compare proportions of cases in categories of a single nominal variable
with proportions expected under the null hypothesis
o Nominal, Ordinal
 Correlation
o Which describes degree of linear relationship between two interval/ratio
variables denoted by R
o Interval, Ratio
 Regression
o Predict the most often occurring category in a cross table
o Interval, Ratio