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Calculate Mean, Median, and Mode

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Calculate Mean, Median, and Mode

Algebra-1

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You will determine when to use (and calculate) the mean, median, or mode of a given data set.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Calculate mean, median, and mode.
  • Determine the appropriateness of using mean, median, and mode to solve problems.

Everything You'll Have Covered

Mean is synonymous with the word average.

To find the mean, you follow the same process as finding the average. Add all the digits in the data set and divide the sum by the amount of values in the data.

For example, to find the mean of the data set 39, 37, 36, 37, 36, 41, 40, you should add all of these numbers and divide by 7 because there are 7 numbers in the data set.

More steps are required to find the median when there is an even amount of numbers in the data set. If there were 6 numbers instead of 7 in the data set above, there would be two numbers in the middle. In order to find the median, you need to add the two middle numbers and divide by two.

The mode is the data value that occurs most often.

To find the mode, just find the number that occurs most often.

For example, in the data set 36, 36, 37, 37, 39, 40, 41, we identify which numbers occur the most. The numbers that appear most often are 36 and 37; therefore, 36 and 37 are the mode.

There can be one mode, no mode, or more than one mode. If all the numbers occur the same amount of times, then there is no mode.

Working with word problems.

In the Activity Object, the mean, median, and mode problems are presented as word problems. Because of this, the following key words or phrases should be used to identify which type of data needs to be calculated.

mean - "average," "equally divided," "equally distributed"

median - "middle," "the value which is smaller than half and greater than the other half"

mode - "most," "most frequent"

These same key vocabulary terms will be used throughout this Activity Object:

mean - the average; the sum of the data values divided by the number of data values.

median - the middle number of a data set when the numbers are arranged from least to greatest.

mode - the most repeated data value.

Tutorial Details

Approximate Time 15 Minutes
Pre-requisite Concepts Students should understand how to calculate mean, median, and mode.
Course Algebra-1
Type of Tutorial Skills Application
Key Vocabulary mean, median, mode