Center of a data set: mean, median, mode

Intros
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Lessons
  1. Overview: Mean, Median, and Mode
  2. What is weighted mean?
Examples
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Lessons
  1. Determine the mean of each set of data:
    a) {8, 5, 2, 12, 3}
    b) {7, 5, 3, 8, 3, 4}
  2. Determine the median of each set of data:
    a) {8, 5, 2, 12, 3}
    b) {7, 5, 3, 8, 3, 4}
  3. Investigating the Impact of Outliers on the Mean and Median
    The heights (in cm) of students in a class are: {156, 152, 148, 159, 150}
    a) Determine the mean and the median.
    b) A new student with a height of 255 cm joins the class. How does the new data value (outlier)affect the mean and the median?
  4. Determine the mode of each set of data:
    a) {8, 5, 2, 12, 5}
    b) {6, 6, 6, 7, 7, 8, 8, 8, 9}
    c) {1, 2, 3, 4}
  5. Determining the Mean of a Frequency Distribution
    Determine the mean for the population of scores in the following frequency table.

    score

    frequency

    4

    6

    5

    3

    7

    8

    9

    2


  6. Determining the Weighted Mean
    Sarah has earned the following averages in her statistics course: homework-98, quizzes-92, tests-84. The overall course grade is comprised of: homework (10%), quizzes (20%), unit tests (40%), and final exam (30%).
    a) What is Sarah's grade going into the final exam?
    b) What score must Sarah earn on the final exam in order to earn a final grade of 90% for the course?