Math SOL 6.19 ~ Mean, Mode, Median, and Range
  • Describe the mean, median, and mode as measures of central tendency.
  • Describe the range.
  • Determine their meaning for a set of data.
What is meant by measures of central tendency?

Measures of central tendency are types of averages for a data set. They represent numbers that best describe a data set.

What is the mean and how is it mathematically computed?

The mean is the numerical average of the data set and is found by adding the numbers in the data set together and dividing the sum by the number of data pieces in the set.

What is the median and how is it mathematically computed?

The median is the middle point of a data set in ranked order. If there are an odd number of pieces of data, the median is the middle piece in ranked order. If there is an even number of data pieces, the median is the numerical average of the two middle pieces.

What is the mode and how is it mathematically computed?

The mode is the piece of data that occurs most frequently.
If no value occurs more often than any other does, then there is no mode.
If there is more than one value that occurs most often, then all these highest values are modes of the set of data, (e.g. two values that are equal and highest means we have bimodal data).

There may be one, more than one, or no mode.

2, 3, 4, 5, 5, 6, 7, 8, 8, 8, 9, 11      The mode is 8.

2, 3, 4, 5, 5, 5, 7, 8, 8, 8, 9, 11      The modes are 5 and 8.

2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 17      There is no mode.

 

What is the range of a set of data and how is it mathematically computed?

The range is the difference between the greatest and least values in a set of data.
This shows the spread in a set of data.
 

Mean, Median, Mode and Range Explained

Homework Hotline ~ Central Tendency

What are the measures of central tendency and how is each different from the other?

Mean, median, and mode are the measures of central tendency and are useful for describing the average for different situations.

Mean works well for sets of data with no very high or low numbers.

Median is a good choice when data sets have a couple of points much higher or lower than most of the others.

Mode is a good descriptor to use when the set of data has many identical data points.  

Which measure is most useful in this situation?

How is Central Tendency Used in Real Life?

Teachers who have Discovery Streaming Could Show:
Example 1: Mean, Mode, and Median -- Babe Ruth (3:45)

 

Links to Check Out

Central Tendencies Review

Central Tendencies (Sports)

Measures of Central Tendency Links

Handling Data ~ Mode, Median, and Mean

Train Race Game - Comparing Median, Mean, and Range

SOL 6.19 ~ Extra Practice

Resources for Teachers

Technology Integration Ideas     ~     Strategies from VDOE

Vocabulary Sort

TTAC LESSONS from Enhanced Scope and Sequence

Measures of Central Tendency

Mayfield Teachers ~
Check out the T: Drive for Word Wall Words, Objective Mini Posters, Released Test Items, and other resources. :)

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