Basic Mathematics for College Students

Find the mode (if any) of each set of values.See Example 7.

33. 357354672314


34. 12 12 17 17 12 13 17 12


35. 
    


36. 030270603420


37. 23.1 22.7 23.5 22.7 34.2 22.7


38. 21.6 19.3 1.3 19.3 1.6 9.3 2.6


39. 22 5


40. 591235374560


41. SEMESTER GRADES Frank’s algebra grade
    is based on the average of four exams, which
    count equally. His grades are 75, 80, 90, and 85.
    a. Find his average exam score.
    b. If Frank’s professor decided to count the
    fourth exam double, what would
    Frank’s average be?


42. HURRICANES The table lists the number of major
    hurricanes to strike the mainland of the United States
    by decade. Find the average number per decade.
    Round to the nearest one.


43. FLEET MILEAGE An insurance company’s sales
    force uses 37 cars. Last June, those cars logged a total
    of 98,790 miles.
    a. On average, how many miles did each car travel
    that month?
    b. Find the average number of miles driven daily for
    each car.


44. BUDGETS The Hinrichs family spent $519 on
    groceries last April.
    a. On average, how much did they spend on
    groceries each day?
    b. The Hinrichs family has five members. What is the
    average spent for groceries for one family member
    for one day?

APPLICATIONS

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 6  7  6  4  3  6  7

45. CASH AWARDS A contest is to be part of a
    promotional kickoff for a new children’s cereal. The
    prizes to be awarded are shown.
    a. How much money will be awarded in the
    promotion?
    b. How many cash prizes will be awarded?
    c. What is the average cash prize?


46. SURVEYS Some students were asked to rate their
    college cafeteria food on a scale from 1 to 5. The
    responses are shown on the tally sheet. Find the
    average rating.


47. CANDY BARS The prices (in cents) of the different
    types of candy bars sold in a drug store are: 50, 60, 50,
    50, 70, 75, 50, 45, 50, 50, 60, 75, 60, 75, 100, 50, 80, 75,
    100, 75.
    a. Find the mean price of a candy bar.
    b. Find the median price for a candy bar.
    c. Find the mode of the prices of the candy
    bars.


48. COMPUTER SUPPLIES Several computer
    stores reported differing prices for toner cartridges
    for a laser printer (in dollars): 51, 55, 73, 75, 72, 70,
    53, 59, 75.
    a. Find the mean price of a toner cartridge.
    b. Find the median price for a toner cartridge.
    c. Find the mode of the prices for a toner cartridge.

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Poor Fair Excellent

23 45

Coloring Contest

Grand prize: Disney World vacation plus $2,500

Four 1st place prizes of $500

Thirty-five 2nd place prizes of $150

Eighty-five 3rd place prizes of $25

618 Chapter 7 Graphs and Statistics

Decade Number Decade Number

1901–1910 4 1951–1960 8

1911–1920 7 1961–1970 6

1921–1930 5 1971–1980 4

1931–1940 8 1981–1990 5

1941–1950 10 1991–2000 5

Source: National Hurricane Center