Bus 308 Statistics
1.2 Below we list several variables. Which of these variables are quantitative and which are qualitative? Explain. a. The dollar amount on an accounts receivable invoice.
Answer – Quantitative as the value is a number b. The net profit for a company in 2009.
Answer – Quantitative as the value is a number. c. The stock exchange on which a company’s stock is traded
Answer – Qualitative as it is descriptive or categorical. d. The national debt of the united states in 2009.
Answer – Quantitative as the value is a deals with numbers. e. The advertising medium (radio, television, or print) used to promote a product.
Answer – Qualitative as it is descriptive or categorical.
1.17 Classify each of the following qualitative variables as ordinal or nominative. Explain your answers.
Qualitative Variable Categories
Statistics course letter grade A B C D F
Answer – Ordinal because there is a meaningful order of the grade categories i.e. (A is good and F is bad)
Door choice on Let’s Make a Deal Door #1 Door#2
Answer – Nominative because there is no meaningful ordering to the Door categories.
Television show classifications TV-G TV-PG TV-14 TV-MA
Answer – Ordinal because there is a meaningful order to all of the TV classification (age appropriateness)
Personal Computer Ownership Yes No
Answer – Nominative because there is no meaningful order or ranking to yes or no for personal computer ownership.
Restaurant Rating ***** **** *** ** *
Answer – Ordinal because there is meaningful order to the classification of the ratings. (**** is good and * is bad)
Income tax filing status Married filing jointly Married filing separately Single Head of Household Qualifying widow(er)
Answer – Nominative because there is no meaningful ordering to the statuses.
3.3 Calculate the mean, median, and mode of each of the following populations of numbers: a. 9,8,10,10,12,6,11,10,12,8
Mean u= 9+8+10+10+12+6+11+12+8=86 = 9.55555556
Answer – Quantitative as the value is a number b. The net profit for a company in 2009.
Answer – Quantitative as the value is a number. c. The stock exchange on which a company’s stock is traded
Answer – Qualitative as it is descriptive or categorical. d. The national debt of the united states in 2009.
Answer – Quantitative as the value is a deals with numbers. e. The advertising medium (radio, television, or print) used to promote a product.
Answer – Qualitative as it is descriptive or categorical.
1.17 Classify each of the following qualitative variables as ordinal or nominative. Explain your answers.
Qualitative Variable Categories
Statistics course letter grade A B C D F
Answer – Ordinal because there is a meaningful order of the grade categories i.e. (A is good and F is bad)
Door choice on Let’s Make a Deal Door #1 Door#2
Answer – Nominative because there is no meaningful ordering to the Door categories.
Television show classifications TV-G TV-PG TV-14 TV-MA
Answer – Ordinal because there is a meaningful order to all of the TV classification (age appropriateness)
Personal Computer Ownership Yes No
Answer – Nominative because there is no meaningful order or ranking to yes or no for personal computer ownership.
Restaurant Rating ***** **** *** ** *
Answer – Ordinal because there is meaningful order to the classification of the ratings. (**** is good and * is bad)
Income tax filing status Married filing jointly Married filing separately Single Head of Household Qualifying widow(er)
Answer – Nominative because there is no meaningful ordering to the statuses.
3.3 Calculate the mean, median, and mode of each of the following populations of numbers: a. 9,8,10,10,12,6,11,10,12,8
Mean u= 9+8+10+10+12+6+11+12+8=86 = 9.55555556