Mean Absolute Deviation and IQR

This lesson covers summarizing data using measures of variability, focusing on creating and analyzing dot plots, calculating mean absolute deviation (MAD), and understanding interquartile range (IQR). Students learn to describe data variability using these measures and apply them to real-world examples. The lesson concludes with a summary of key concepts and a preview of the next lesson.

What is the main focus of Math 6 Lesson 8-5?

• Understanding algebraic expressions

• Summarizing data using measures of variability

• Exploring probability and statistics

• Learning about geometric shapes

In a data set of 11 values, which position should the median occupy?

• Sixth position

• Third position

• Eleventh position

• First position

How many people ate more than six pieces of fruit in the first dot plot?

• Three people

• Two people

• Four people

• Five people

What does the mean absolute deviation (MAD) measure?

• The average score of a data set

• The highest value in a data set

• The spread of data from the mean

• The lowest value in a data set

If the mean score is 82, what is the absolute deviation of a score of 75?

• 6

• 7

• 5

• 8

What is the interquartile range (IQR) used for?

• Describing the spread of the middle 50% of data

• Calculating the median

• Identifying outliers

• Finding the mean of a data set

In a box plot, what does the length of the box represent?

• The range of the data

• The interquartile range

• The mean of the data

• The mode of the data

How does the mean absolute deviation help in analyzing basketball scores?

• It identifies the lowest score

• It indicates the average score

• It shows the highest score achieved

• It reveals how scores vary from the mean

What are the two key concepts discussed in this lesson?

• Mean absolute deviation and interquartile range

• Mean and median

• Standard deviation and variance

• Range and mode