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Exploring mean and median
Exploring mean and median 256
Description
Exercise Name: Exploring mean and median
Math Missions: 6th grade (U.S.) Math Mission, High school statistics and probability Math Mission
Types of Problems: 1

The Exploring mean and median exercise appears under the 6th grade (U.S.) Math Mission and High school statistics and probability Math Mission. This exercise explores the relationship between mean and median.

Types of Problems

There is one type of problem in this exercise:

  1. Control the mean and median: This problem has a number line with several dots on it. Users are asked to move the dots to adjust the mean and median to given values.
    Expmean

    Control the mean and median

Strategies

This exercise is easy to get accuracy badges because the manipulative displays the current mean and median while the user is moving dots. The speed badges vary because of the time that is required to move the dots. This exercise is easy with a stylus, medium with a mouse and hard with a touchpad.

  1. Users shouldn't submit their answer until they have the right mean and median, they can read it from the line.
  2. It is easiest to move the dots closest to the median to control the median first.
  3. After the median is set, it is easiest to move high dots or low dots to drag the mean to its desired value.

Real-life Applications

  1. Fashion is generally an answer to the question, "What is the mode?" e.g. "What's the most popular sneaker?" or "What shirt style would most people prefer to wear?"
  2. Data and statistics appear in news reports and in the media every day.
  3. Many of the problems in this exercise could be viewed as real-life applications.
  4. Statistics can be seen more frequently than calculus in every day life.

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