# Bus 308 Week 1 Assignment

**Topics:**Standard deviation, Arithmetic mean, Mean

**Pages:**2 (560 words)

**Published:**September 17, 2012

1.2 Below we list several variables. Which of these are quantitative and which are qualitative? Explain Quantitative is a number it represents the quantity, qualitative are the variables.

a. The dollar amount on an accounts receivable invoice = quantitative

b. The net profit for a company in 2009. = quantitative

c. The stock exchange on which a company’s stock is traded. = qualitative

d. The national debt of the US in 2009. = quantitative

e. The advertising medium (radio, TV, or print used to promote a product = qualitative

1.17 Classify each of the following qualitative variables as ordinal or nominative. Explain your answers Qualitative VariableCategoriesAnswer

Statistic course letter grade A B C D E Ordinal

Door choices on “Lets make a deal”Door #1 Door #2 Nominative TV show classificationsTV-G TV-PG TV- 14 TV-MAOrdinal

Personal computer ownershipYes NoNominative

Restaurant rating***** **** *** ** *Ordinal

Income tax filing statusMarried filing jointlyNominative

Married filing separately

Single

Head of household

Qualifying window(er)

3.3 Calculate the mean, median, and mode for each of the following populations of numbers; a. 9, 8, 10, 10, 12, 6, 11, 12, 8

Mean u= 9 + 8 + 10 + 10 + 12 + 6 + 11 + 12 + 8 = 86 = 9.555555555555556

9 9

Median 6 8 8 10 10 11 12 12 = (10 + 10)/2 = 10

Mode 6 8 8 10 10 11 12 12 = 10 because this is multimodal and 10 is in the center

3.22 In order to control costs, a company wishes to study the amount of money it’s sales force spends entertaining clients. a. x-bar = (157+132+109+145+125+139)/6=$134.5

s^2 = ((157-134.5)^2+(132-134.5)^2+(109-134.5)^2+(145-134.5)^2+(125-134.5)^2+(139-134.5)^2)/5 = $276.7 s=sqrt(s^2) = sqrt(276.7) =$ 16.634

b. 69.26% of the expense would fall within 1 standard deviation from the mean -> 134.5+/- 16.634 = ($117.866, $...

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