The Mathematics of Money

(Darren Dugan) #1
624 Chapter 16 Business Statistics

Unless otherwise specifi ed, round your answers to the same number of decimal places used for the original data.

A. Mean and Median


  1. Suppose that a cereal company needs to determine the number of grams of sugar contained in a serving of their
    granola. The company takes one serving from each of fi ve boxes of their granola, and fi nds sugar contents of 16.3 g,
    16.1 g, 17.3 g, 16.4 g, and 17.2 g.


a. What is the mean grams per serving based on these fi ve servings?
b. What is the median grams per serving based on these fi ve servings?


  1. Over the last 7 weeks, the number of videos rented at a local rental store has been 352, 308, 417, 408, 363, 305, and
    319. Calculate (a) the mean and (b) the median number of rentals per week over this period.

  2. Jared is a life insurance salesman. Over the last 6 months, his monthly sales (based on initial premiums for the policies
    he has sold) have amounted to $4,875, $3,070, $916, $3,382, $7,455, and $8,332. Calculate his (a) mean and
    (b) median monthly sales.

  3. The price per gallon of gasoline at six local stations is $2.59, $2.63, $2.61, $2.59, $2.58, and $2.72. Calculate the
    (a) mean and (b) median price per gallon among these stations.


B. Weighted Averages


  1. Tickets for a minor league hockey team are sold at three different price levels. General admission tickets cost $8.50,
    reserved seating tickets cost $12.75, and premier seating tickets cost $18.00. Last night, the team sold 2,204 general
    admission tickets, 802 reserved seating tickets, and 608 premier seating tickets. Calculate the weighted average ticket
    price based on the number of tickets sold.

  2. Piet has a line of credit on which he pays interest based on his average monthly balance. The average used is a
    weighted average based on the number of days his account stays at each balance. Last month he had a balance of
    $1,750.00 for 13 days, $2,250.00 for 16 days, and $2,700.00 for 2 days. Calculate his average monthly balance.

  3. Montag Fire Equipment has fi ve regional offi ces. The table given below shows that the sales generated by each of its
    regional offi ces and the sales per employee at that offi ce.


Offi ce Sales Sales per Employee

Atlanta $3,510,000 $125,357
Portland $7,500,000 $178,571
Chicago $5,300,000 $240,909
Phoenix $1,750,000 $97,222
San Jose $9,500,000 $287,879

Calculate the company’s overall average sales per employee.

EXERCISES 16.2

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