# Central Tendency & Variance (Grade 6)

Videos and lessons to help Grade 6 students learn how to recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Common Core: 6.SP.3

### Suggested Learning Targets

• I can recognize there are measures of central tendency for a data set, e.g., mean, median, mode.
• I can recognize there are measures of variances for a data set , e.g., range, interquartile range, mean absolute deviation.
• I can recognize that measure of central tendency for a data set summarizes the data with a single number.
• I can recognize that measures of variation for a data set describe how its values vary with a single number.

Related Topics:

Recognizing and using measures of center and measures of variation to describe data--1 of 2 (6.SP.3)
In this lesson you will learn how to summarize the center of data with a single number by examining the mean, median, and mode.

Recognizing and using measures of center and measures of variation to describe data-2 of 2 (6.SP.3)
In this lesson you will learn how to summarize the spread of data with a single number by calculating and examining the range and mean absolute deviation of the data.

Measures of Central Tendency and Spread for One Variable Data
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

Choosing the Best Measure of Central Tendency

Central Tendency
Quick review on mean, median, mode,range, outliers.

Measures of Central Tendency
This video takes a deeper look at whether the mean, median, or mode should be used to describe a set of data. Which one is better?

Mean Absolute Deviation
1. Find the mean of the data.
2. Find the distance of each data point from the mean.
3. Find the mean of the distances.

Mean Absolute Deviation
Review how to find the MAD or mean absolute deviation of a given data set.
1. Find the mean of the given data set
2. Find the distance that each element in your data set is away from the mean.
3. Calculate the mean of the distances.

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