Mean absolute deviation

Slides:

Advertisements

Similar presentations

Mean Absolute Deviation September 25, Definition To find the mean absolute deviation, find the absolute values of the differences between each value.

Advertisements

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

Distance between Points on a Coordinate Plane

Measures of Central Tendency

2.1 Integers & Absolute Value 2.2 Adding Integers.

 Two Rules: 1. To add numbers with the same sign, ADD the absolute values and the answer has the same sign as the original numbers.  EXAMPLE:

Standard Deviation. Two classes took a recent quiz. There were 10 students in each class, and each class had an average score of 81.5.

Vocabulary for Box and Whisker Plots. Box and Whisker Plot: A diagram that summarizes data using the median, the upper and lowers quartiles, and the extreme.

Integer Numbers Extending the number line. Objectives know that integers are; whole numbers with two parts know that the parts are; sign and absolute.

Velocity –Time Graphs.

 Every integer has an opposite integers. A number and its opposite are the same distance from zero.

MAD Mean Absolute Deviation. How can you describe how far apart the responses are from the center in a data set?

Measures of Central Tendency & Spread

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

Adding /Subtracting Integers  Math Aero Standard 5:Level 5 and Level 6  I can understand positive and negative numbers.  I can understand the absolute.

RULES FOR SIGNED NUMBERS ADDITION And “SUBTRACTION” 1 I have not put in “Animation” to go step-by-step.

 5 + (-9) is read: positive 5, negative 9  5 – 9 is read: positive 5, negative 9  is read: negative 15, positive 8  -7 + (-10) is read: negative.

Adding Integers When adding integers use SADS. If the signs are the same, add the numbers and take the sign of the largest absolute value. If the signs.

Bellringer  Use the following data set to construct a box and whisker plot.  Identify the outlier  Label.

Mean Absolute Deviation

What is Mean Absolute Deviation?  Another measure of variability is called the mean absolute deviation. The mean absolute deviation (MAD) is the average.

MEAN ABSOLUTE DEVIATION GREG MORRISON. FIND MEAN ABSOLUTE DEVIATION You have used range and the interquartile range to describe the spread of a set of.

 Deviation: The distance that two points are separated from each other.  Deviation from the mean: How far the data point is from the mean. To find this.

Adding Integers and Developing Rules Correct answer is -15 What are you doing with the numbers? If both signs are negative how does that affect.

Warm up 1/16/13 Activating Background Knowledge 1.What do you think of when you hear the word “average”? 1.In words, describe what the “average” of a set.

Learning Targets I will be able to… *Solve absolute value equations *Decide if an absolute value equation has no solutions or infinite solutions.

Absolute Value Absolute Value is the distance a number is away from zero on the number line. Find.| 4 | 4 | – 4 | 4 * Absolute Value Is ALWAYS POSITIVE!!!!*

MEAN ABSOLUTE DEVIATION. Vocabulary  Deviation: The distance that two points are separated from each other.  Deviation from the mean : How far the data.

Chapter 1.1 Additive Inverse Absolute Value Adding Real Numbers.

Absolute Value and Translations Section 6-8. Notes The absolute value is the distance a number is away from zero. Because distance can never be negative.

Take away difference between. take away difference between Subtraction rule: If the numbers are close together do difference between. If the numbers are.

Standard Deviation Variance and Range. Standard Deviation:  Typical distance of observations from their mean  A numerical summary that measures the.

Lesson Topic: The Mean Absolute Deviation (MAD) Lesson Objective: I can…  I can calculate the mean absolute deviation (MAD) for a given data set.  I.

Simultaneous Equations with Different Numbers in the Middles 4x + 3y = 15 5x – 2y = 13 Different Numbers.

Warm-up Solve each equation 4+13= −3+7= 4−13= −3−7=

Measures of Central Tendency & Center of Spread

MAD Mean Absolute Deviation

Addition of Signed Numbers

SAME SIGNS JUST ADD !! ADDITION OF INTEGERS = (-2) = -10

Mean Absolute Deviation

Mean absolute deviation

What is Mean Absolute Deviation?

عمل الطالبة : هايدى محمد عبد المنعم حسين

MEAN ABSOLUTE DEVIATION *MAD*.

Mean Absolute Deviation

Mean Absolute Deviation

Finding Lengths of Horizontal Lines on a Coordinate Plane

Math CC7/8 – Mar. 13 Math Notebook: Things Needed Today (TNT):

Measure of spread: Standard Deviation

Day 91 Learning Target: Students can use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile.

Mean Absolute Deviation

Distance and the coordinate plane

Mean Absolute Deviation

Statistics Vocabulary Continued

Mean Absolute Deviation

Mean, Median, Mode, Range, Outlier, & Mean Deviation

MAD Mean Absolute Deviation

14.5 Mean Absolute Deviation

Mean Absolute Deviation

Statistics and Probability-Part 2

Mean Absolute Deviation

Statistics Vocabulary Continued

Mean Absolute Deviation

Mean Absolute Deviation

Simultaneous Equations with Different Numbers in the Middles

Distance and the coordinate plane

Absolute value and distance

Mean Absolute Deviation

Absolute Value.

Presentation transcript:

Mean absolute deviation

Mean Absolute Deviation Mean Absolute Deviation is the average distance of each value from their mean. You will need to find the mean ... use it to work out distances ... then find the mean of those values!

Mean Absolute Deviation Three steps: 1. Find the mean of all values 2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs) 3. Then find the mean of those distances

Mean Absolute Deviation Example: The Mean Absolute Deviation of 3, 6, 6, 7, 8, 11, 15, 16 Step 1: Find the mean

Mean Absolute Deviation 3 + 6 + 6 + 7 + 8 + 11 + 15 + 16 = 72 = 9 8 8

Step 2: Find the distance of each value from that mean: Distance from 9 3 6 7 2 8 1 11 15 16

Mean Absolute Deviation Which looks like this:

Mean Absolute Deviation Step 3. Find the mean of those distances: 6, 3, 3, 2, 1, 2, 6, 7

Mean Absolute Deviation Mean Deviation = 6 + 3 + 3 + 2 + 1 + 2 + 6 + 7 = 30 = 3.75 8 8

Mean Absolute Deviation So, the mean = 9 and the mean deviation = 3.75 It tells us how far, on average, all values are from the middle. In that example the values are, on average, 3.75 away from the middle.