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An Introduction to Statistics

Odd Solutions for Statistics HW Lesson 3

    Find the mean, mode, median, and midrange for the following four data sets.
    Please use the statistics mode on your calculator only for the large data set.

  1. Fabricated data based on annual income of select individuals related to producing this homework assignment: $36,000, $360,000, $3,600,000, $36,000,000, and $360,000,000 (math teacher, notebook assembler, Netscape® programmer, Windows® programmer, Bill Gates).

    mean = $79,999,200             no mode
    median = $3,600,000
     midrange = ($360,000,000 + $36,000)/2 = $180,018,000

  3. Data set with an even number of elements: 1, 2, 3, 4, 5, 6, 7, 8.
    mean = median = midrange = 4.5     no mode

  5. Assume four students drive from Michigan to Florida (2000 km) at 100.0 kph and return at 80.0 kph. Find the arithmetic mean of these two speeds.
    (100.0 kph + 80.0 kph)/2 = 90.0 kph (not 90)

  7. Velocity is displacement per unit time. Using the data from the problems just above, calculate the true value for their time in hours for each leg of their journey. Contrast this with the previous problem.
    to Florida: 2000 km/100.0 kph = 20.0 hours
    to Michigan: 2000 km/80.0 kph = 25.0 hours
    so the total time is 45.0 hours

  9. Examine lesson 11.8 in your Geometry book and do problems 1-4, and 9-10.
    1. Find the mean temperature if the high is 20°C and the low is 12°C.
      16°C

    3. Find the mean temperature if the high is -1°C and the low is -9°C.
      -5°C

    1. Give the coordinates of the midpoint of line segment TW, where T=(-1,-1) and W=(9,3).
      (4,1).

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