Video lessons, examples and solutions 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.

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Grade 6 Math Lessons

Common Core Grade 6

Common Core: 6.SP.3

- 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.

The following figures show the Measures of Central Tendency: Median, Mean, Mode. Scroll down the page for more examples and solutions.

The following table summarizes when to use Median, Mean, or Mode. Scroll down the page for more examples and solutions.

**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**

An outlier is a data value that is distinctly separate from the rest of the data.

Example:

Find an outlier in the data and tell how it affects the mean.

11,14,9,1,12,15,12,13

Which is the best measure of central tendency?

Mode: When the data is not numerical.

Median: When there may be outliers.

Mean: When there are no outliers.

Example:

Distance traveled in miles to visit relatives during winter break: 210,45,10,108,452,225,35,95,140,25,65,250.

- Find the mean and median of the data set.
- Identify if there are any outliers.
- If there is am outlier, find the mean and median without the outlier.
- If there is an outlier, how was the mean affected by removing the outlier?

**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

- Find the mean of the data.
- Find the distance of each data point from the mean.
- Find the mean of the distances.

Mean Absolute Deviation

Review how to find the MAD or mean absolute deviation of a given data set.

- Find the mean of the given data set
- Find the distance that each element in your data set is away from the mean.
- Calculate the mean of the distances.

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